13145664998400
13,145,664,998,400 is an even composite number composed of seven prime numbers multiplied together.
13145664998400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13145664998400:
210 × 3 × 52 × 11 × 37 × 67 × 6277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 37 × 67 × 6277)See below for interesting mathematical facts about the number 13145664998400 from the Numbermatics database.
Names of 13145664998400
- Cardinal: 13145664998400 can be written as Thirteen trillion, one hundred forty-five billion, six hundred sixty-four million, nine hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31456649984 × 1013
Factors of 13145664998400
Divisors of 13145664998400
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 67 74 75 80 88 96 100 110 111 120 128 132 134 148 150 160 165 176 185 192 200 201 220 222 240 256 264 268 275 296 300 320 330 335 352 370 384 400 402 407 440 444 480 512 528 536 550 555 592 600 640 660 670 704 737 740 768 800 804 814 825 880 888 925 960 1005 1024 1056 1072 1100 1110 1184 1200 1221 1280 1320 1340 1408 1474 1480 1536 1600 1608 1628 1650 1675 1760 1776 1850 1920 2010 2035 2112 2144 2200 2211 2220 2368 2400 2442 2479 2560 2640 2680 2775 2816 2948 2960 3072 3200 3216 3256 3300 3350 3520 3552 3685 3700 3840 4020 4070 4224 4288 4400 4422 4440 4736 4800 4884 4958 5025 5120 5280 5360 5550 5632 5896 5920 6105 6277 6400 6432 6512 6600 6700 7040 7104 7370 7400 7437 7680 8040 8140 8448 8576 8800 8844 8880 9472 9600 9768 9916 10050 10175 10560 10720 11055 11100 11264 11792 11840 12210 12395 12554 12800 12864 13024 13200 13400 14080 14208 14740 14800 14874 15360 16080 16280 16896 17152 17600 17688 17760 18425 18831 18944 19200 19536 19832 20100 20350 21120 21440 22110 22200 23584 23680 24420 24790 25108 25600 25728 26048 26400 26800 27269 28160 28416 29480 29600 29748 30525 31385 32160 32560 33792 34304 35200 35376 35520 36850 37185 37662 37888 38400 39072 39664 40200 40700 42240 42880 44220 44400 47168 47360 48840 49580 50216 51456 52096 52800 53600 54538 55275 56320 56832 58960 59200 59496 61050 61975 62770 64320 65120 68608 69047 70400 70752 71040 73700 74370 75324 76800 78144 79328 80400 81400 81807 84480 85760 88440 88800 94155 94336 94720 97680 99160 100432 102912 104192 105600 107200 109076 110550 113664 117920 118400 118992 122100 123950 125540 128640 130240 136345 138094 140800 141504 142080 147400 148740 150648 156288 156925 158656 160800 162800 163614 168960 171520 176880 177600 185925 188310 188672 189440 195360 198320 200864 205824 207141 208384 211200 214400 218152 221100 232249 235840 236800 237984 244200 247900 251080 257280 260480 272690 276188 281600 283008 284160 294800 297480 301296 312576 313850 317312 321600 325600 327228 343040 345235 353760 355200 371850 376620 377344 390720 396640 401728 409035 414282 416768 420559 422400 428800 436304 442200 464498 470775 471680 473600 475968 488400 495800 502160 514560 520960 545380 552376 566016 568320 589600 594960 602592 625152 627700 634624 643200 651200 654456 681725 690470 696747 707520 710400 743700 753240 754688 781440 793280 803456 818070 828564 841118 844800 857600 872608 884400 928996 941550 943360 947200 951936 976800 991600 1004320 1029120 1035705 1041920 1090760 1104752 1132032 1161245 1179200 1189920 1205184 1250304 1255400 1261677 1269248 1286400 1302400 1308912 1363450 1380940 1393494 1415040 1420800 1487400 1506480 1562880 1586560 1606912 1636140 1657128 1682236 1715200 1726175 1745216 1768800 1857992 1883100 1886720 1903872 1953600 1983200 2008640 2045175 2071410 2083840 2102795 2181520 2209504 2264064 2322490 2358400 2379840 2410368 2510800 2523354 2538496 2554739 2572800 2604800 2617824 2726900 2761880 2786988 2830080 2841600 2974800 3012960 3125760 3173120 3213824 3272280 3314256 3364472 3452350 3483735 3490432 3537600 3715984 3766200 3773440 3807744 3907200 3966400 4017280 4090350 4142820 4205590 4363040 4419008 4626149 4644980 4716800 4759680 4820736 5021600 5046708 5109478 5145600 5178525 5209600 5235648 5453800 5523760 5573976 5660160 5806225 5949600 6025920 6251520 6308385 6346240 6427648 6544560 6628512 6728944 6904700 6967470 6980864 7075200 7431968 7532400 7615488 7664217 7814400 7932800 8034560 8180700 8285640 8411180 8726080 8838016 9252298 9289960 9433600 9519360 9641472 10043200 10093416 10218956 10357050 10419200 10471296 10513975 10907600 11047520 11147952 11320320 11612450 11899200 12051840 12616770 12692480 12773695 13089120 13257024 13457888 13809400 13878447 13934940 13961728 14150400 14863936 15064800 15328434 15560683 15628800 15865600 16069120 16361400 16571280 16822360 17418675 17452160 17676032 18504596 18579920 18867200 19038720 19282944 20086400 20186832 20437912 20714100 20942592 21027950 21815200 22095040 22295904 23130745 23224900 23798400 24103680 25233540 25547390 26178240 26514048 26915776 27618800 27756894 27869880 27923456 28300800 29727872 30129600 30656868 31121366 31257600 31541925 31731200 32138240 32722800 33142560 33644720 34837350 34904320 35352064 37009192 37159840 38077440 38321085 40172800 40373664 40875824 41428200 41885184 42055900 43630400 44190080 44591808 46261490 46449800 46682049 47596800 48207360 50467080 51094780 52356480 53028096 53831552 55237600 55513788 55739760 56601600 59455744 60259200 61313736 62242732 63083850 63462400 63868475 65445600 66285120 67289440 69392235 69674700 69808640 70704128 74018384 74319680 76642170 77803415 80345600 80747328 81751648 82856400 83770368 84111800 87260800 88380160 89183616 92522980 92899600 93364098 95193600 96414720 100934160 102189560 104712960 106056192 107663104 110475200 111027576 111479520 115653725 118911488 120518400 122627472 124485464 126167700 127736950 130891200 132570240 134578880 138784470 139349400 139617280 148036768 148639360 153284340 155606830 160691200 161494656 163503296 165712800 168223600 171167513 174521600 176760320 178367232 185045960 185799200 186728196 190387200 191605425 201868320 204379120 209425920 212112384 215326208 220950400 222055152 222959040 231307450 233410245 237822976 241036800 245254944 248970928 252335400 255473900 261782400 265140480 269157760 277568940 278698800 296073536 297278720 306568680 311213660 322989312 327006592 331425600 336447200 342335026 346961175 349043200 353520640 356734464 370091920 371598400 373456392 383210850 389017075 403736640 408758240 418851840 430652416 441900800 444110304 445918080 462614900 466820490 482073600 490509888 497941856 504670800 510947800 513502539 523564800 530280960 538315520 555137880 557397600 592147072 594557440 613137360 622427320 645978624 654013184 662851200 672894400 684670052 693922350 698086400 713468928 740183840 743196800 746912784 766421700 778034150 807473280 817516480 855837565 883801600 888220608 891836160 925229800 933640980 981019776 995883712 1009341600 1021895600 1027005078 1047129600 1060561920 1076631040 1110275760 1114795200 1167051225 1184294144 1189114880 1226274720 1244854640 1291957248 1308026368 1325702400 1345788800 1369340104 1387844700 1480367680 1486393600 1493825568 1532843400 1556068300 1614946560 1635032960 1711675130 1767603200 1776441216 1783672320 1850459600 1867281960 1962039552 1991767424 2018683200 2043791200 2054010156 2094259200 2153262080 2220551520 2229590400 2334102450 2368588288 2452549440 2489709280 2567512695 2616052736 2651404800 2691577600 2738680208 2775689400 2960735360 2972787200 2987651136 3065686800 3112136600 3229893120 3270065920 3423350260 3552882432 3567344640 3700919200 3734563920 3924079104 3983534848 4037366400 4087582400 4108020312 4279187825 4441103040 4459180800 4668204900 4737176576 4905098880 4979418560 5135025390 5302809600 5383155200 5477360416 5551378800 5921470720 5945574400 5975302272 6131373600 6224273200 6459786240 6540131840 6846700520 7105764864 7401838400 7469127840 7848158208 7967069696 8074732800 8175164800 8216040624 8558375650 8882206080 8918361600 9336409800 9810197760 9958837120 10270050780 10766310400 10954720832 11102757600 11842941440 11950604544 12262747200 12448546400 12837563475 13080263680 13693401040 14211529728 14803676800 14938255680 15934139392 16149465600 16350329600 16432081248 17116751300 17764412160 17836723200 18672819600 19620395520 19917674240 20540101560 21909441664 22205515200 23685882880 23901209088 24525494400 24897092800 25675126950 27386802080 29607353600 29876511360 32298931200 32700659200 32864162496 34233502600 35528824320 37345639200 39240791040 39835348480 41080203120 43818883328 44411030400 47802418176 49050988800 49794185600 51350253900 54773604160 59214707200 59753022720 65401318400 65728324992 68467005200 71057648640 74691278400 79670696960 82160406240 87637766656 88822060800 98101977600 99588371200 102700507800 109547208320 118429414400 119506045440 131456649984 136934010400 149382556800 164320812480 175275533312 177644121600 196203955200 199176742400 205401015600 219094416640 239012090880 262913299968 273868020800 298765113600 328641624960 355288243200 398353484800 410802031200 438188833280 525826599936 547736041600 597530227200 657283249920 821604062400 876377666560 1095472083200 1195060454400 1314566499840 1643208124800 2190944166400 2629132999680 3286416249600 4381888332800 6572832499200 13145664998400
- Sum of all divisors σ(n): 49412245961472
- Sum of proper divisors (its aliquot sum) s(n): 36266580963072
- 13145664998400 is an abundant number, because the sum of its proper divisors (36266580963072) is greater than itself. Its abundance is 23120915964672
Bases of 13145664998400
- Binary: 101111110100101101101011000101001100000000002
- Hexadecimal: 0xBF4B6B14C00
- Base-36: 4NR19J1MO
Squares and roots of 13145664998400
- 13145664998400 squared (131456649984002) is 172808508250158872002560000
- 13145664998400 cubed (131456649984003) is 2271682758329831114923278707195904000000
-
The
square root of 13145664998400 is 3625695.1055487277 -
The
cube root of 13145664998400 is 23600.8432371309
Scales and comparisons
How big is 13145664998400?- 13,145,664,998,400 seconds is equal to 417,991 years, 25 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 13,145,664,998,400 would take you about one million, forty-four thousand, nine hundred seventy-eight 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 13145664998400 cubic inches would be around 1966.7 feet tall.
Recreational maths with 13145664998400
- 13145664998400 backwards is 00489946654131
- 13145664998400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13145664998400's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13145664998400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 13145664998400 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13145664998400/
Chicago style:
Numbermatics. 2024. "Number 13145664998400 - Facts about the integer". https://numbermatics.com/n/13145664998400/
The information we have on file for 13145664998400 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 13145664998400, math, Factors of 13145664998400, curriculum, school, college, exams, university, Prime factorization of 13145664998400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred forty-five billion, six hundred sixty-four million, nine hundred ninety-eight thousand, four hundred.