138131229096960
138,131,229,096,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138131229096960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1188 divisors.
138131229096960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 138131229096960:
210 × 3 × 5 × 112 × 372 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 37 × 37 × 233 × 233)See below for interesting mathematical facts about the number 138131229096960 from the Numbermatics database.
Names of 138131229096960
- Cardinal: 138131229096960 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, two hundred twenty-nine million, ninety-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3813122909696 × 1014
Factors of 138131229096960
Divisors of 138131229096960
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 37 40 44 48 55 60 64 66 74 80 88 96 110 111 120 121 128 132 148 160 165 176 185 192 220 222 233 240 242 256 264 296 320 330 352 363 370 384 407 440 444 466 480 484 512 528 555 592 605 640 660 699 704 726 740 768 814 880 888 932 960 968 1024 1056 1110 1165 1184 1210 1221 1280 1320 1369 1398 1408 1452 1480 1536 1628 1760 1776 1815 1864 1920 1936 2035 2112 2220 2330 2368 2420 2442 2560 2563 2640 2738 2796 2816 2904 2960 3072 3256 3495 3520 3552 3630 3728 3840 3872 4070 4107 4224 4440 4477 4660 4736 4840 4884 5120 5126 5280 5476 5592 5632 5808 5920 6105 6512 6845 6990 7040 7104 7260 7456 7680 7689 7744 8140 8214 8448 8621 8880 8954 9320 9472 9680 9768 10252 10560 10952 11184 11264 11616 11840 12210 12815 13024 13431 13690 13980 14080 14208 14520 14912 15059 15360 15378 15488 16280 16428 16896 17242 17760 17908 18640 18944 19360 19536 20504 20535 21120 21904 22368 22385 23232 23680 24420 25630 25863 26048 26862 27380 27960 28160 28193 28416 29040 29824 30118 30756 30976 32560 32856 33792 34484 35520 35816 37280 37888 38445 38720 39072 41008 41070 42240 43105 43808 44736 44770 45177 46464 47360 48840 51260 51726 52096 53724 54289 54760 55920 56320 56386 56832 58080 59648 60236 61512 61952 65120 65712 67155 68968 71040 71632 74560 75295 76890 77440 78144 82016 82140 84480 84579 86210 87616 89472 89540 90354 92928 94720 94831 97680 102520 103452 104192 107448 108578 109520 111840 112772 113664 116160 119296 120472 123024 123904 129315 130240 131424 134310 137936 140965 142080 143264 149120 150590 153780 154880 156288 162867 164032 164280 165649 168960 169158 172420 175232 178944 179080 180708 185856 189440 189662 195360 205040 206904 208384 214896 217156 219040 223680 225544 225885 232320 238592 240944 246048 258630 260480 262848 268620 271445 275872 281930 284160 284493 286528 298240 301180 307560 309760 312576 318977 325734 328064 328560 331298 338316 344840 350464 357888 358160 361416 371712 379324 390720 410080 413808 416768 422895 429792 434312 438080 447360 451088 451770 464640 474155 481888 492096 496947 517260 520960 525696 537240 542890 551744 563860 568320 568986 573056 596480 597179 602360 615120 619520 625152 637954 651468 656128 657120 662596 676632 689680 700928 715776 716320 722832 758648 781440 814335 820160 827616 828245 845790 859584 868624 876160 894720 902176 903540 929280 948310 956931 963776 984192 993894 1034520 1041920 1043141 1051392 1074480 1085780 1103488 1127720 1137972 1146112 1192960 1194358 1204720 1230240 1250304 1275908 1302936 1312256 1314240 1325192 1353264 1379360 1401856 1422465 1432640 1445664 1517296 1562880 1594885 1628670 1640320 1655232 1656490 1691580 1719168 1737248 1752320 1789440 1791537 1804352 1807080 1858560 1896620 1913862 1927552 1968384 1987788 2008693 2069040 2083840 2086282 2102784 2148960 2171560 2206976 2255440 2275944 2292224 2388716 2409440 2460480 2484735 2551816 2605872 2624512 2628480 2650384 2706528 2758720 2844930 2865280 2891328 2985895 3034592 3125760 3129423 3189770 3257340 3280640 3310464 3312980 3383160 3438336 3474496 3504640 3508747 3578880 3583074 3608704 3614160 3793240 3827724 3855104 3936768 3975576 4017386 4138080 4172564 4205568 4297920 4343120 4413952 4510880 4551888 4584448 4777432 4784655 4818880 4920960 4969470 5103632 5211744 5215705 5256960 5300768 5413056 5517440 5689860 5730560 5782656 5971790 6026079 6069184 6251520 6258846 6379540 6514680 6561280 6568969 6620928 6625960 6766320 6876672 6948992 7009280 7017494 7166148 7217408 7228320 7586480 7655448 7710208 7873536 7951152 8034772 8276160 8345128 8595840 8686240 8827904 8957685 9021760 9103776 9554864 9569310 9637760 9841920 9938940 10043465 10207264 10423488 10431410 10513920 10526241 10601536 10826112 11034880 11379720 11461120 11565312 11943580 12052158 12138368 12517692 12759080 13029360 13122560 13137938 13241856 13251920 13532640 13753344 13897984 14034988 14332296 14434816 14456640 15172960 15310896 15420416 15647115 15902304 16069544 16552320 16690256 17191680 17372480 17543735 17915370 18043520 18207552 19109728 19138620 19275520 19683840 19706907 19877880 20086930 20414528 20846976 20862820 21027840 21052482 21203072 21652224 22069760 22095623 22759440 22922240 23130624 23887160 24104316 24276736 25035384 25518160 26058720 26275876 26483712 26503840 27065280 27795968 28069976 28664592 28869632 28913280 30130395 30345920 30621792 31294230 31804608 32139088 32844845 33104640 33380512 34383360 34744960 35087470 35830740 36087040 36415104 38219456 38277240 38551040 38596217 39367680 39413814 39755760 40173860 40829056 41693952 41725640 42104964 42406144 43304448 44139520 44191246 45518880 46261248 47774320 48208632 48553472 50070768 51036320 52117440 52551752 52631205 53007680 54130560 55591936 56139952 57329184 57826560 60260790 60691840 61243584 62588460 63609216 64278176 65689690 66209280 66286869 66761024 68766720 69489920 70174940 71661480 72174080 72830208 74321641 76438912 76554480 77102080 77192434 78827628 79511520 80347720 81658112 83387904 83451280 84209928 84812288 86608896 88382492 91037760 95548640 96417264 97106944 98534535 100141536 102072640 104234880 105103504 105262410 106015360 108261120 110478115 112279904 114658368 115653120 115788651 120521580 121383680 122487168 125176920 127218432 128556352 131379380 132418560 132573738 133522048 138979840 140349880 143322960 144348160 145660416 148643282 152877824 153108960 154384868 157655256 159023040 160695440 163316224 166775808 166902560 168419856 169624576 176764984 182075520 191097280 192834528 192981085 197069070 200283072 204145280 208469760 210207008 210524820 212030720 216522240 220956230 222964923 224559808 229316736 231306240 231577302 241043160 242767360 243051853 244974336 250353840 254436864 257112704 262758760 265147476 267044096 277959680 280699760 286645920 291320832 297286564 305755648 306217920 308769736 315310512 318046080 321390880 326632448 331434345 333805120 336839712 353529968 364151040 371608205 382194560 385669056 385962170 394138140 400566144 408290560 416939520 420414016 421049640 424061440 433044480 441912460 445929846 449119616 458633472 463154604 482086320 485534720 486103706 489948672 500707680 508873728 514225408 525517520 530294952 534088192 561399520 573291840 578943255 594573128 611511296 612435840 617539472 630621024 636092160 642781760 662868690 667610240 673679424 707059936 728302080 729155559 743216410 764389120 771338112 771924340 788276280 801132288 816581120 817538051 833879040 840828032 842099280 848122880 883824920 891859692 898239232 917266944 926309208 964172640 972207412 979897344 1001415360 1028450816 1051035040 1060589904 1068176384 1114824615 1122799040 1146583680 1157886510 1189146256 1215259265 1224871680 1235078944 1261242048 1272184320 1285563520 1325737380 1335220480 1347358848 1414119872 1456604160 1458311118 1486432820 1528778240 1542676224 1543848680 1576552560 1602264576 1633162240 1635076102 1681656064 1684198560 1767649840 1783719384 1796478464 1834533888 1852618416 1928345280 1944414824 2002830720 2056901632 2102070080 2121179808 2229649230 2245598080 2293167360 2315773020 2378292512 2430518530 2449743360 2452614153 2470157888 2522484096 2544368640 2571127040 2651474760 2670440960 2694717696 2828239744 2916622236 2972865640 3057556480 3085352448 3087697360 3153105120 3204529152 3270152204 3363312128 3368397120 3535299680 3567438768 3592956928 3645777795 3705236832 3856690560 3888829648 4005661440 4087690255 4204140160 4242359616 4459298460 4491196160 4586334720 4631546040 4756585024 4861037060 4899486720 4905228306 4940315776 5044968192 5142254080 5302949520 5340881920 5389435392 5656479488 5833244472 5945731280 6170704896 6175394720 6306210240 6540304408 6726624256 6736794240 7070599360 7134877536 7291555590 7410473664 7713381120 7777659296 8011322880 8175380510 8408280320 8484719232 8918596920 8982392320 8992918561 9172669440 9263092080 9513170048 9722074120 9810456612 9880631552 10089936384 10284508160 10605899040 10778870784 11312958976 11666488944 11891462560 12263070765 12350789440 12612420480 13080608816 13473588480 14141198720 14269755072 14583111180 14820947328 15426762240 15555318592 16022645760 16350761020 16816560640 16969438464 17837193840 17964784640 17985837122 18526184160 19026340096 19444148240 19620913224 19761263104 20179872768 21211798080 22625917952 23332977888 23782925120 24526141530 24701578880 25224840960 26161217632 26947176960 26978755683 28282397440 28539510144 29166222360 29641894656 30853524480 31110637184 32701522040 33633121280 33938876928 35674387680 35971674244 37052368320 38052680192 38888296480 39241826448 39522526208 42423596160 44964592805 46665955776 47565850240 49052283060 49403157760 50449681920 52322435264 53894353920 53957511366 56564794880 57079020288 58332444720 59283789312 62221274368 65403044080 67877753856 71348775360 71943348488 74104736640 76105360384 77776592960 78483652896 84847192320 89929185610 93331911552 95131700480 98104566120 98806315520 100899363840 104644870528 107915022732 113129589760 114158040576 116664889440 118567578624 124442548736 130806088160 134893778415 142697550720 143886696976 148209473280 155553185920 156967305792 169694384640 179858371220 186663823104 190263400960 196209132240 197612631040 209289741056 215830045464 228316081152 233329778880 248885097472 261612176320 269787556830 285395101440 287773393952 296418946560 311106371840 313934611584 339388769280 359716742440 373327646208 380526801920 392418264480 418579482112 431660090928 466659557760 523224352640 539575113660 570790202880 575546787904 592837893120 622212743680 627869223168 719433484880 746655292416 784836528960 837158964224 863320181856 933319115520 1046448705280 1079150227320 1141580405760 1151093575808 1244425487360 1255738446336 1438866969760 1569673057920 1726640363712 1866638231040 2092897410560 2158300454640 2302187151616 2511476892672 2877733939520 3139346115840 3453280727424 3733276462080 4185794821120 4316600909280 4604374303232 5755467879040 6278692231680 6906561454848 8633201818560 9208748606464 11510935758080 12557384463360 13813122909696 17266403637120 23021871516160 27626245819392 34532807274240 46043743032320 69065614548480 138131229096960
- Sum of all divisors σ(n): 501250208906664
- Sum of proper divisors (its aliquot sum) s(n): 363118979809704
- 138131229096960 is an abundant number, because the sum of its proper divisors (363118979809704) is greater than itself. Its abundance is 224987750712744
Bases of 138131229096960
- Binary: 111110110100001001011101101011110111100000000002
- Hexadecimal: 0x7DA12ED7BC00
- Base-36: 1CYOLZD0QO
Squares and roots of 138131229096960
- 138131229096960 squared (1381312290969602) is 19080236451836848937081241600
- 138131229096960 cubed (1381312290969603) is 2635576512552842977536476447993323585536000
-
The
square root of 138131229096960 is 11752924.2785342577 -
The
cube root of 138131229096960 is 51692.8676709937
Scales and comparisons
How big is 138131229096960?- 138,131,229,096,960 seconds is equal to 4,392,145 years, 42 weeks, 3 days, 12 hours, 16 minutes.
-
To count from 1 to 138,131,229,096,960 would take you about ten million, nine hundred eighty thousand, three hundred sixty-four 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 138131229096960 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131229096960
- 138131229096960 backwards is 069690922131831
- 138131229096960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138131229096960's digits is 60
- More coming soon!
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The information we have on file for 138131229096960 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!
Keywords: Divisors of 138131229096960, math, Factors of 138131229096960, curriculum, school, college, exams, university, Prime factorization of 138131229096960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-one billion, two hundred twenty-nine million, ninety-six thousand, nine hundred sixty.