13220148789120
13,220,148,789,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13220148789120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13220148789120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13220148789120:
27 × 3 × 5 × 74 × 132 × 71 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 71 × 239)See below for interesting mathematical facts about the number 13220148789120 from the Numbermatics database.
Names of 13220148789120
- Cardinal: 13220148789120 can be written as Thirteen trillion, two hundred twenty billion, one hundred forty-eight million, seven hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.322014878912 × 1013
Factors of 13220148789120
Divisors of 13220148789120
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 71 78 80 84 91 96 98 104 105 112 120 128 130 140 142 147 156 160 168 169 182 192 195 196 208 210 213 224 239 240 245 260 273 280 284 294 312 320 336 338 343 355 364 384 390 392 416 420 426 448 455 478 480 490 497 507 520 546 560 568 588 624 637 640 672 676 686 710 717 728 735 780 784 832 840 845 852 896 910 923 956 960 980 994 1014 1029 1040 1065 1092 1120 1136 1176 1183 1195 1248 1274 1344 1352 1365 1372 1420 1434 1456 1470 1491 1560 1568 1664 1673 1680 1690 1704 1715 1820 1846 1911 1912 1920 1960 1988 2028 2058 2080 2130 2184 2240 2272 2352 2366 2390 2401 2485 2496 2535 2548 2688 2704 2730 2744 2769 2840 2868 2912 2940 2982 3107 3120 3136 3185 3346 3360 3380 3408 3430 3479 3549 3585 3640 3692 3822 3824 3920 3976 4056 4116 4160 4260 4368 4459 4480 4544 4615 4704 4732 4780 4802 4970 4992 5019 5070 5096 5145 5408 5460 5488 5538 5680 5736 5824 5880 5915 5964 6214 6240 6272 6370 6461 6692 6720 6760 6816 6860 6958 7098 7170 7203 7280 7384 7455 7644 7648 7840 7952 8112 8232 8281 8320 8365 8520 8736 8918 9088 9230 9321 9408 9464 9555 9560 9604 9940 10038 10140 10192 10290 10437 10816 10920 10976 11076 11360 11472 11648 11711 11760 11830 11928 11999 12005 12428 12480 12740 12922 13377 13384 13440 13520 13632 13720 13845 13916 14196 14340 14406 14560 14768 14910 15288 15296 15535 15680 15904 16224 16464 16562 16730 16969 17040 17395 17472 17745 17836 18460 18642 18816 18928 19110 19120 19208 19383 19880 20076 20280 20384 20580 20874 21632 21749 21840 21952 22152 22295 22720 22944 23422 23520 23660 23856 23998 24010 24353 24843 24856 24960 25095 25480 25844 26754 26768 27040 27264 27440 27690 27832 28392 28680 28812 29120 29536 29820 30576 30592 31070 31213 31360 31808 32305 32448 32928 33124 33460 33938 34080 34790 34944 35133 35490 35672 35997 36015 36920 37284 37856 38220 38240 38416 38766 39760 40152 40391 40560 40768 41160 41405 41748 43498 43680 43904 44304 44590 45227 45440 45888 46605 46844 47040 47320 47712 47996 48020 48706 49686 49712 50190 50907 50960 51688 52185 53508 53536 54080 54880 55380 55664 56784 57360 57624 57967 58240 58555 59072 59640 59995 61152 62140 62426 63616 64610 64896 65247 65856 66248 66885 66920 67876 68160 69580 70266 70980 71344 71994 72030 73059 73840 74568 75712 76440 76480 76832 77532 79520 80304 80782 81120 81536 81977 82320 82810 83496 83993 84845 86996 87360 88608 89180 90454 91776 93210 93639 93688 94080 94640 95424 95992 96040 96915 97412 99372 99424 100380 101814 101920 103376 104370 107016 107072 108160 108745 109760 110760 111328 113568 114720 115248 115934 117110 118144 118783 119280 119990 121173 121765 122304 124215 124280 124852 129220 130494 131712 132496 133770 133840 135681 135752 136320 139160 140532 141960 142688 143988 144060 146118 147680 149136 151424 152243 152880 152960 153664 155064 156065 159040 160608 161564 162240 163954 164640 165620 166992 167986 169690 170471 173901 173992 174720 175665 177216 178360 179985 180908 186420 187278 187376 189280 190848 191984 192080 193830 194824 198744 198848 200760 201955 203628 203840 206752 208740 214032 214144 217490 219520 220597 221520 222656 226135 227136 229440 230496 231868 234220 237566 238560 239980 242346 243530 244608 245931 248430 248560 249704 251979 254535 258440 260988 264992 267540 267680 271362 271504 278320 281064 282737 283920 285376 287976 288120 289835 292236 295360 298272 304486 305760 307328 310128 312130 316589 318080 321216 323128 324480 326235 327908 329280 331240 333984 335972 339380 340942 347802 347984 351330 354432 356349 356720 359970 361816 365295 372840 374556 374752 378560 383968 384160 387660 389648 397488 397696 401520 403910 405769 407256 407680 409885 413504 417480 419965 428064 434980 441194 443040 445312 452270 454272 456729 458880 460992 463736 468195 468440 475132 477120 479960 484692 487060 491862 496860 497120 499408 503958 509070 511413 516880 521976 529984 535080 535360 542724 543008 556640 562128 565474 567840 570752 573839 575952 576240 579670 584472 587951 590720 593915 596544 605865 608972 611520 620256 624260 633178 642432 646256 652470 655816 658560 661791 662480 667968 671944 678405 678760 681884 695604 695968 702660 712698 713440 719940 723632 730590 745680 749112 749504 757120 761215 767936 768320 775320 779296 794976 803040 807820 811538 814512 819770 827008 831481 834960 839930 848211 852355 856128 869505 869960 882388 886080 904540 913458 921984 927472 936390 936880 949767 950264 954240 959920 969384 974120 983724 993720 994240 998816 1007916 1018140 1022826 1033760 1043952 1059968 1065701 1070160 1070720 1085448 1086016 1102985 1113280 1124256 1130948 1135680 1147678 1151904 1152480 1159340 1168944 1175902 1187830 1193088 1211730 1217307 1217944 1223040 1229655 1240512 1248520 1259895 1266356 1292512 1304940 1311632 1323582 1324960 1335936 1343888 1356810 1357520 1363768 1391208 1391936 1405320 1413685 1425396 1426880 1439880 1447264 1461180 1491360 1498224 1499008 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48717760 49387884 49413728 49888860 50654240 51153648 51938432 52465280 52943280 53186952 53214784 53755520 54046265 54285504 54550720 55088544 55416452 55648320 56443296 57015840 57355220 57619198 58203670 58461312 59374770 59679256 59928960 60222981 60785088 61734855 61767160 63333088 63942060 64855518 64923040 65460864 65850512 66483690 66518480 67856880 68204864 68826264 68860680 69270565 69844404 70554120 70591040 70915936 73076640 73451392 74120592 74599070 75257728 75664771 75981360 76021120 77550720 77907648 78697920 79166360 79822176 80297308 80633280 81485138 81826080 82313140 83124678 84709248 85256080 86032830 86428797 86474024 86835840 87305505 88644920 89518884 90475840 91768352 91814240 92650740 93125872 94072160 94999632 96978791 97384560 97435520 98775768 98827456 99777720 100371635 101308480 102307296 105886560 106373904 106429568 108092530 108571008 109101440 110177088 110832904 111296640 111898605 112886592 114031680 114710440 115238396 116407340 118749540 119358512 120445962 121570176 122227707 123469710 123534320 126666176 127884120 129711036 129846080 131701024 132967380 133036960 135713760 136409728 137652528 137721360 138541130 139688808 140520289 141108240 141182080 141831872 144047995 146153280 148241184 149198140 151329542 151962720 155815296 157395840 158332720 159644352 160594616 161266560 162138795 162970276 163652160 164626280 166249356 170512160 172065660 172857594 172948048 174611010 177289840 179037768 180951680 183536704 183628480 185301480 186251744 188144320 189999264 193957582 194769120 197551536 197654912 199555440 200743270 202616960 203712845 204614592 207811695 211773120 212747808 216185060 220354176 221665808 223797210 225773184 226994313 228063360 229420880 230476792 232814680 237499080 238717024 240891924 244455414 246939420 247068640 253332352 255768240 259422072 259692160 263402048 265934760 266073920 271427520 275305056 275442720 277082260 279377616 281040578 282216480 283663744 288095990 290936373 292306560 296482368 298396280 301114905 302659084 303925440 316665440 319288704 321189232 324277590 325940552 327304320 329252560 332498712 341024320 344131320 345715188 345896096 349222020 354579680 358075536 367073408 367256960 370602960 372503488 376288640 378323855 379998528 387915164 389538240 395103072 399110880 401486540 407425690 409229184 415623390 421560867 423546240 425495616 432143985 432370120 443331616 447594420 453988626 458841760 460953584 465629360 474998160 477434048 481783848 484893955 488910828 493878840 494137280 511536480 518844144 526804096 529653397 531869520 532147840 542855040 550610112 550885440 554164520 558755232 562081156 564432960 576191980 581872746 592964736 596792560 602229810 605318168 607850880 611138535 633330880 642378464 648555180 651881104 658505120 664997424 682048640 688262640 691430376 691792192 698444040 702601445 709159360 716151072 741205920 745006976 756647710 759997056 775830328 779076480 790206144 798221760 802973080 814851380 831246780 843121734 850991232 864287970 864740240 886663232 895188840 907977252 917683520 921907168 931258720 949996320 954868096 963567696 969787910 977821656 983642023 987757680 988274560 1023072960 1037688288 1059306794 1063739040 1101220224 1101770880 1108329040 1117510464 1124162312 1128865920 1134971565 1152383960 1163745492 1193585120 1204459620 1210636336 1222277070 1266661760 1284756928 1297110360 1303762208 1317010240 1329994848 1376525280 1382860752 1383584384 1396888080 1405202890 1418318720 1432302144 1454681865 1482411840 1513295420 1551660656 1580412288 1588960191 1596443520 1605946160 1629702760 1662493560 1686243468 1728575940 1729480480 1773326464 1790377680 1815954504 1835367040 1843814336 1862517440 1899992640 1927135392 1939575820 1955643312 1967284046 1975515360 2046145920 2075376576 2107804335 2118613588 2127478080 2216658080 2235020928 2248324624 2269943130 2304767920 2327490984 2387170240 2408919240 2421272672 2444554140 2569513856 2594220720 2607524416 2634020480 2648266985 2659989696 2753050560 2765721504 2793776160 2810405780 2864604288 2909363730 2950926069 2964823680 3026590840 3103321312 3177920382 3211892320 3259405520 3324987120 3372486936 3457151880 3458960960 3580755360 3631909008 3687628672 3725034880 3799985280 3854270784 3879151640 3911286624 3934568092 3951030720 4150753152 4215608670 4237227176 4254956160 4433316160 4496649248 4539886260 4609535840 4654981968 4774340480 4817838480 4842545344 4889108280 4918210115 5188441440 5215048832 5296533970 5319979392 5506101120 5531443008 5587552320 5620811560 5818727460 5901852138 6053181680 6206642624 6355840764 6423784640 6518811040 6649974240 6744973872 6885494161 6914303760 6917921920 7161510720 7263818016 7708541568 7758303280 7822573248 7869136184 7902061440 7944800955 8431217340 8474454352 8866632320 8993298496 9079772520 9219071680 9309963936 9635676960 9685090688 9778216560 9836420230 10376882880 10593067940 11062886016 11175104640 11241623120 11637454920 11803704276 12106363360 12413285248 12711681528 12847569280 13037622080 13299948480 13489947744 13770988322 13828607520 14323021440 14527636032 14754630345 15516606560 15645146496 15738272368 15889601910 16862434680 16948908704 17986596992 18159545040 18438143360 18619927872 19271353920 19556433120 19672840460 20656482483 20753765760 21186135880 22483246240 23274909840 23607408552 24212726720 25423363056 26075244160 26599896960 26979895488 27541976644 27657215040 29055272064 29509260690 31033213120 31476544736 31779203820 33724869360 33897817408 34427470805 36319090080 37239855744 38542707840 39112866240 39345680920 41312964966 42372271760 44966492480 46549819680 47214817104 48425453440 50846726112 53959790976 55083953288 55314430080 59018521380 62066426240 62953089472 63558407640 67449738720 67795634816 68854941610 72638180160 78225732480 78691361840 82625929932 84744543520 89932984960 93099639360 94429634208 101693452224 103282412415 110167906576 118037042760 125906178944 127116815280 134899477440 137709883220 145276360320 157382723680 165251859864 169489087040 186199278720 188859268416 203386904448 206564824830 220335813152 236074085520 254233630560 269798954880 275419766440 314765447360 330503719728 338978174080 377718536832 413129649660 440671626304 472148171040 508467261120 550839532880 629530894720 661007439456 826259299320 881343252608 944296342080 1016934522240 1101679065760 1322014878912 1652518598640 1888592684160 2203358131520 2644029757824 3305037197280 4406716263040 6610074394560 13220148789120
- Sum of all divisors σ(n): 54207497548800
- Sum of proper divisors (its aliquot sum) s(n): 40987348759680
- 13220148789120 is an abundant number, because the sum of its proper divisors (40987348759680) is greater than itself. Its abundance is 27767199970560
Bases of 13220148789120
- Binary: 110000000110000011100100010110111111100000002
- Hexadecimal: 0xC060E45BF80
- Base-36: 4OP9396DC
Squares and roots of 13220148789120
- 13220148789120 squared (132201487891202) is 174772334006471002230374400
- 13220148789120 cubed (132201487891203) is 2310516259787323818380276943444246528000
-
The
square root of 13220148789120 is 3635952.2534158779 -
The
cube root of 13220148789120 is 23645.3337113731
Scales and comparisons
How big is 13220148789120?- 13,220,148,789,120 seconds is equal to 420,359 years, 43 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 13,220,148,789,120 would take you about one million, fifty thousand, eight hundred ninety-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13220148789120 cubic inches would be around 1970.4 feet tall.
Recreational maths with 13220148789120
- 13220148789120 backwards is 02198784102231
- 13220148789120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13220148789120's digits is 48
- More coming soon!
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"Number 13220148789120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13220148789120 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13220148789120/
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The information we have on file for 13220148789120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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