137997478956226968
137,997,478,956,226,968 is an even composite number composed of seven prime numbers multiplied together.
137997478956226968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137997478956226968:
23 × 32 × 13 × 192 × 314 × 47 × 972
(2 × 2 × 2 × 3 × 3 × 13 × 19 × 19 × 31 × 31 × 31 × 31 × 47 × 97 × 97)See below for interesting mathematical facts about the number 137997478956226968 from the Numbermatics database.
Names of 137997478956226968
- Cardinal: 137997478956226968 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-seven trillion, four hundred seventy-eight billion, nine hundred fifty-six million, two hundred twenty-six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37997478956226968 × 1017
Factors of 137997478956226968
Divisors of 137997478956226968
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 19 24 26 31 36 38 39 47 52 57 62 72 76 78 93 94 97 104 114 117 124 141 152 156 171 186 188 194 228 234 247 248 279 282 291 312 342 361 372 376 388 403 423 456 468 494 558 564 582 589 611 684 722 741 744 776 806 846 873 893 936 961 988 1083 1116 1128 1164 1178 1209 1222 1261 1368 1444 1457 1482 1612 1692 1746 1767 1786 1833 1843 1922 1976 2166 2223 2232 2328 2356 2418 2444 2522 2679 2883 2888 2914 2964 3007 3224 3249 3384 3492 3534 3572 3627 3666 3686 3783 3844 4332 4371 4446 4559 4693 4712 4836 4888 5044 5301 5358 5499 5529 5766 5828 5928 6014 6498 6984 7068 7144 7254 7332 7372 7566 7657 7688 8037 8649 8664 8742 8892 9021 9118 9386 9409 9672 10088 10602 10716 10998 11058 11191 11349 11532 11609 11656 12028 12493 12996 13113 13677 14079 14136 14508 14664 14744 15132 15314 16074 16587 16967 17298 17484 17784 18042 18236 18259 18772 18818 18941 21204 21432 21996 22116 22382 22698 22971 23064 23218 23959 24056 24986 25992 26226 27063 27354 27683 28158 28227 29016 29791 30264 30628 32148 33174 33573 33934 34596 34827 34968 35017 36084 36472 36518 37479 37544 37636 37882 39091 41031 42237 42408 43992 44232 44764 45167 45396 45942 46436 47918 49972 50901 52452 54126 54708 54777 55366 56316 56454 56823 57133 59267 59582 61256 64296 66348 67146 67868 68913 69192 69654 70034 71877 72168 73036 74958 75272 75764 78182 82062 83049 84474 84681 86621 89373 89528 90334 90792 91884 92872 93217 95836 99944 100719 101802 104481 104904 105051 108252 109416 109554 110732 112437 112632 112908 113646 114266 117273 118534 119164 122317 132696 134292 135501 135736 137826 139308 140068 141329 143754 145483 146072 149916 151528 152703 156364 164124 164331 166098 168948 169362 170469 171399 173242 177801 178746 178771 180668 183768 186434 191672 201438 203604 208962 210102 215631 216504 219108 220571 221464 224874 225816 227292 228532 234546 237068 237367 238328 244634 249147 259863 268119 268584 271002 275652 278616 279651 280136 282658 287508 290966 291679 299832 305406 312728 315153 328248 328662 332196 337896 338724 340938 342798 346484 346921 351819 355602 357492 357542 359879 361336 366951 372868 387283 402876 406503 407208 417924 420204 423987 431262 436449 438216 441142 442223 449748 454584 455221 457064 469092 474136 474734 489268 498294 514197 519726 525977 533403 536238 536313 542004 551304 559302 565316 566029 575016 581932 583358 587171 610812 630306 657324 661713 664392 677448 681876 685596 692968 693842 703638 711204 712101 714984 715084 719758 733902 742729 745736 774566 779589 805752 813006 835848 838953 840408 847974 858173 862524 872898 875037 882284 884446 899496 910442 923521 938184 949468 978536 996588 1028394 1039452 1040763 1051954 1066806 1072476 1072626 1079637 1084008 1085527 1100853 1118604 1126073 1130632 1132058 1161849 1163864 1166716 1174342 1211821 1221624 1260612 1271961 1309347 1314648 1323426 1326669 1363752 1365663 1371192 1387684 1400177 1407276 1422408 1424202 1430168 1439516 1467804 1485458 1549132 1559178 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39518178395254 40779396854677 42473831627032 42803188261857 45892078136424 46557853898862 47356718928012 47783060580411 47865930959496 51510817079592 54717477778044 56463780260322 57070917682476 58572783937278 59277267592881 61826827489349 62077138531816 63710747440548 69836780848293 71798896439244 74876548538376 75285040347096 77266225619388 78097045249704 79036356790508 81558793709354 85606376523714 93115707797724 94713437856024 95566121160822 100875350114201 109434955556088 112927560520644 114141835364952 117145567874556 118554535185762 122338190564031 123653654978698 127421494881096 139673561696586 143597792878488 147433204013063 154532451238776 158072713581016 163117587418708 171212753047428 177831802778643 185480482468047 186231415595448 191132242321644 201750700228402 225855121041288 234291135749112 237109070371524 244676381128062 247307309957396 279347123393172 294866408026126 302626050342603 326235174837416 342425506094856 355663605557286 367014571692093 370960964936094 382264484643288 403501400456804 442299612039189 474218140743048 489352762256124 494614619914792 556441447404141 558694246786344 589732816052252 605252100685206 711327211114572 734029143384186 741921929872188 807002800913608 884599224078378 907878151027809 978705524512248 1112882894808282 1179465632104504 1210504201370412 1326898836117567 1422654422229144 1468058286768372 1483843859744376 1769198448156756 1815756302055618 1916631652169819 2225765789616564 2421008402740824 2653797672235134 2936116573536744 3538396896313512 3631512604111236 3833263304339638 4451531579233128 5307595344470268 5749894956509457 7263025208222472 7666526608679276 10615190688940536 11499789913018914 15333053217358552 17249684869528371 22999579826037828 34499369739056742 45999159652075656 68998739478113484 137997478956226968
- Sum of all divisors σ(n): 452959688423642400
- Sum of proper divisors (its aliquot sum) s(n): 314962209467415432
- 137997478956226968 is an abundant number, because the sum of its proper divisors (314962209467415432) is greater than itself. Its abundance is 176964730511188464
Bases of 137997478956226968
- Binary: 1111010100100001111111001110110010001010111011001100110002
- Hexadecimal: 0x1EA43F9D915D998
- Base-36: 11QS0UNH7SM0
Squares and roots of 137997478956226968
- 137997478956226968 squared (1379974789562269682) is 19043304198274304873543422330473024
- 137997478956226968 cubed (1379974789562269683) is 2627927970358387058969610586630210010445185745311232
-
The
square root of 137997478956226968 is 371480119.1937826543 -
The
cube root of 137997478956226968 is 516761.7783887047
Scales and comparisons
How big is 137997478956226968?- 137,997,478,956,226,968 seconds is equal to 4,387,892,976 years, 30 weeks, 20 hours, 22 minutes, 48 seconds.
-
To count from 1 to 137,997,478,956,226,968 would take you about thirteen billion, one hundred sixty-three million, six hundred seventy-eight thousand, nine hundred twenty-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 137997478956226968 cubic inches would be around 43063.5 feet tall.
Recreational maths with 137997478956226968
- 137997478956226968 backwards is 869622659874799731
- The number of decimal digits it has is: 18
- The sum of 137997478956226968's digits is 108
- More coming soon!
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Numbermatics. (2024). Number 137997478956226968 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/137997478956226968/
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The information we have on file for 137997478956226968 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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