135013386610080
135,013,386,610,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135013386610080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
135013386610080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135013386610080:
25 × 32 × 5 × 113 × 17 × 19 × 4672
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 17 × 19 × 467 × 467)See below for interesting mathematical facts about the number 135013386610080 from the Numbermatics database.
Names of 135013386610080
- Cardinal: 135013386610080 can be written as One hundred thirty-five trillion, thirteen billion, three hundred eighty-six million, six hundred ten thousand and eighty.
Scientific notation
- Scientific notation: 1.3501338661008 × 1014
Factors of 135013386610080
Divisors of 135013386610080
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 30 32 33 34 36 38 40 44 45 48 51 55 57 60 66 68 72 76 80 85 88 90 95 96 99 102 110 114 120 121 132 136 144 152 153 160 165 170 171 176 180 187 190 198 204 209 220 228 240 242 255 264 272 285 288 304 306 323 330 340 342 352 360 363 374 380 396 408 418 440 456 467 480 484 495 510 528 544 561 570 605 608 612 627 646 660 680 684 720 726 748 760 765 792 816 836 855 880 912 934 935 968 969 990 1020 1045 1056 1089 1122 1140 1210 1224 1254 1292 1320 1331 1360 1368 1401 1440 1452 1496 1520 1530 1584 1615 1632 1672 1683 1710 1760 1815 1824 1868 1870 1881 1936 1938 1980 2040 2057 2090 2178 2244 2280 2299 2335 2420 2448 2508 2584 2640 2662 2720 2736 2802 2805 2904 2907 2992 3040 3060 3135 3168 3230 3344 3366 3420 3553 3630 3736 3740 3762 3872 3876 3960 3993 4080 4114 4180 4203 4356 4488 4560 4598 4670 4840 4845 4896 5016 5137 5168 5280 5324 5445 5472 5604 5610 5808 5814 5984 6120 6171 6270 6460 6655 6688 6732 6840 6897 7005 7106 7260 7472 7480 7524 7752 7920 7939 7986 8160 8228 8360 8406 8415 8712 8873 8976 9120 9196 9340 9405 9680 9690 10032 10274 10285 10336 10648 10659 10890 11208 11220 11495 11616 11628 11979 12240 12342 12540 12920 13310 13464 13680 13794 14010 14212 14520 14535 14944 14960 15048 15411 15504 15840 15878 15972 16456 16720 16812 16830 17424 17746 17765 17952 18392 18513 18680 18810 19360 19380 19965 20064 20548 20570 20691 21015 21296 21318 21780 22416 22440 22627 22990 23256 23817 23958 24480 24684 25080 25289 25685 25840 26619 26620 26928 27360 27588 28020 28424 29040 29070 29920 30096 30822 30855 31008 31756 31944 31977 32912 33440 33624 33660 34485 34848 35492 35530 36784 37026 37360 37620 38760 39083 39695 39930 41096 41140 41382 42030 42592 42636 43560 44365 44832 44880 45254 45980 46233 46512 47634 47916 49368 50160 50578 51370 51680 53238 53240 53295 53856 55176 56040 56507 56848 58080 58140 59895 60192 61644 61710 63512 63888 63954 65824 67248 67320 67881 68970 70984 71060 71451 73568 74052 74720 75240 75867 77055 77520 78166 79390 79857 79860 82192 82280 82764 84060 85272 87120 87329 88730 89760 90508 91960 92466 92565 93024 95268 95832 97603 98736 100320 101156 102740 103455 106476 106480 106590 110352 112080 113014 113135 113696 116280 117249 119085 119790 123288 123420 126445 127024 127776 127908 133095 134496 134640 135762 137940 141968 142120 142902 148104 150480 150841 151734 154110 155040 156332 158780 159714 159720 159885 164384 164560 165528 168120 169521 170544 174240 174658 177460 181016 183920 184932 185130 190536 191664 195206 195415 197472 202312 203643 205480 206910 212952 212960 213180 218089 220704 224160 226028 226270 227601 231165 232560 234498 238170 239580 246576 246840 252890 254048 255816 261987 266190 269280 271524 275880 282535 283936 284240 285804 292809 296208 300960 301682 303468 308220 312664 317560 319428 319440 319770 329120 331056 336240 339042 339405 341088 349316 351747 354920 357255 362032 367840 369864 370260 379335 381072 383328 390412 390830 399285 404624 407286 410960 413820 425904 426360 429913 436178 436645 452056 452523 452540 455202 462330 465120 468996 476340 479160 488015 493152 493680 505780 508563 511632 523974 532380 543048 551760 565070 568480 571608 585618 586245 592416 603364 606936 616440 621577 625328 635120 638856 638880 639540 654267 662112 672480 678084 678810 698632 703494 709840 714510 724064 739728 740520 754205 758670 762144 780824 781660 785961 798570 809248 814572 821920 827640 847605 851808 852720 859826 872356 873290 878427 904112 905046 905080 910404 924660 937992 952680 958320 960619 976030 987360 1011560 1017126 1018215 1023264 1047948 1064760 1073633 1086096 1090445 1103520 1130140 1138005 1143216 1171236 1172490 1206728 1213872 1232880 1243154 1250656 1270240 1277712 1279080 1289739 1308534 1309935 1356168 1357569 1357620 1397264 1406988 1419680 1429020 1464045 1479456 1481040 1508410 1517340 1561648 1563320 1571922 1597140 1629144 1655280 1659251 1695210 1705440 1719652 1744712 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101437555680 102282868644 104499525240 107666177520 110305054420 111581311248 118432795272 120332786640 123979234720 127853585805 129199413024 132366065304 136377158192 139332700320 139476639060 144399343968 144553947120 148040994090 153424302966 157910393696 161499266280 165457581630 170471447740 176488087072 177649192908 180499179960 185968852080 187518592514 197387992120 198549097956 204565737288 208999050480 215332355040 220610108840 222061491135 223162622496 236865590544 240665573280 248186372445 255707171610 264732130608 272754316384 278953278120 281277888771 289107894240 296081988180 306848605932 322998532560 330915163260 340942895480 355298385816 360998359920 371937704160 375037185028 383560757415 394775984240 397098195912 409131474576 417998100960 441220217680 444122982270 468796481285 473731181088 496372744890 511414343220 529464261216 557906556240 562555777542 592163976360 613697211864 645997065120 661830326520 681885790960 710596771632 721996719840 750074370056 767121514830 789551968480 794196391824 818262949152 843833666313 882440435360 888245964540 937592962570 992745489780 1022828686440 1115813112480 1125111555084 1184327952720 1227394423728 1323660653040 1363771581920 1406389443855 1421193543264 1500148740112 1534243029660 1588392783648 1687667332626 1776491929080 1875185925140 1985490979560 2045657372880 2250223110168 2368655905440 2454788847456 2647321306080 2812778887710 3000297480224 3068486059320 3375334665252 3552983858160 3750371850280 3970981959120 4091314745760 4219168331565 4500446220336 5625557775420 6136972118640 6750669330504 7105967716320 7500743700560 7941963918240 8438336663130 9000892440672 11251115550840 12273944237280 13501338661008 15001487401120 16876673326260 22502231101680 27002677322016 33753346652520 45004462203360 67506693305040 135013386610080
- Sum of all divisors σ(n): 566035214209920
- Sum of proper divisors (its aliquot sum) s(n): 431021827599840
- 135013386610080 is an abundant number, because the sum of its proper divisors (431021827599840) is greater than itself. Its abundance is 296008440989760
Bases of 135013386610080
- Binary: 111101011001011010000001111001011100101101000002
- Hexadecimal: 0x7ACB40F2E5A0
- Base-36: 1BUWAKG140
Squares and roots of 135013386610080
- 135013386610080 squared (1350133866100802) is 18228614563922929433957606400
- 135013386610080 cubed (1350133866100803) is 2461106985485061319075780609588126912512000
-
The
square root of 135013386610080 is 11619526.0923189117 -
The
cube root of 135013386610080 is 51300.9739576837
Scales and comparisons
How big is 135013386610080?- 135,013,386,610,080 seconds is equal to 4,293,008 years, 3 weeks, 4 days, 14 hours, 48 minutes.
-
To count from 1 to 135,013,386,610,080 would take you about ten million, seven hundred thirty-two thousand, five hundred twenty 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 135013386610080 cubic inches would be around 4275.1 feet tall.
Recreational maths with 135013386610080
- 135013386610080 backwards is 080016683310531
- 135013386610080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135013386610080's digits is 45
- More coming soon!
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"Number 135013386610080 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 135013386610080 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/135013386610080/
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The information we have on file for 135013386610080 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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