138814006312263168
138,814,006,312,263,168 is an even composite number composed of five prime numbers multiplied together.
138814006312263168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 138814006312263168:
29 × 36 × 174 × 31 × 3792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 17 × 31 × 379 × 379)See below for interesting mathematical facts about the number 138814006312263168 from the Numbermatics database.
Names of 138814006312263168
- Cardinal: 138814006312263168 can be written as One hundred thirty-eight quadrillion, eight hundred fourteen trillion, six billion, three hundred twelve million, two hundred sixty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38814006312263168 × 1017
Factors of 138814006312263168
Divisors of 138814006312263168
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 62 64 68 72 81 93 96 102 108 124 128 136 144 153 162 186 192 204 216 243 248 256 272 279 288 289 306 324 372 379 384 408 432 459 486 496 512 527 544 558 576 578 612 648 729 744 758 768 816 837 864 867 918 972 992 1054 1088 1116 1137 1152 1156 1224 1296 1377 1458 1488 1516 1536 1581 1632 1674 1728 1734 1836 1944 1984 2108 2176 2232 2274 2304 2312 2448 2511 2592 2601 2754 2916 2976 3032 3162 3264 3348 3411 3456 3468 3672 3888 3968 4131 4216 4352 4464 4548 4608 4624 4743 4896 4913 5022 5184 5202 5508 5832 5952 6064 6324 6443 6528 6696 6822 6912 6936 7344 7533 7776 7803 7936 8262 8432 8704 8928 8959 9096 9248 9486 9792 9826 10044 10233 10368 10404 11016 11664 11749 11904 12128 12393 12648 12886 13056 13392 13644 13824 13872 14229 14688 14739 15066 15552 15606 15872 16524 16864 17856 17918 18192 18496 18972 19329 19584 19652 20088 20466 20736 20808 22032 22599 23328 23409 23498 23808 24256 24786 25296 25772 26112 26784 26877 27288 27744 28458 29376 29478 30132 30699 31104 31212 33048 33728 35247 35712 35836 36384 36992 37944 38658 39168 39304 40176 40932 41472 41616 42687 44064 44217 45198 46656 46818 46996 47616 48512 49572 50592 51544 53568 53754 54576 55488 56916 57987 58752 58956 60264 61398 62208 62424 66096 67456 70227 70494 71424 71672 72768 73984 75888 77316 78336 78608 80352 80631 81864 83232 83521 85374 88128 88434 90396 92097 93312 93636 93992 97024 99144 101184 103088 105741 107136 107508 109152 109531 110976 113832 115974 117504 117912 120528 122796 124416 124848 128061 132192 132651 134912 140454 140988 142848 143344 143641 145536 147968 151776 152303 154632 157216 160704 161262 163728 166464 167042 170748 173961 176256 176868 180792 184194 186624 187272 187984 194048 198288 199733 202368 206176 210681 211482 214272 215016 218304 219062 221952 227664 231948 235008 235824 241056 241893 245592 249696 250563 256122 264384 265302 269824 276291 280908 281976 286688 287282 291072 303552 304606 309264 314432 317223 321408 322524 327456 328593 332928 334084 341496 347922 352512 353736 361584 368388 373248 374544 375968 384183 396576 397953 399466 404736 412352 421362 422964 428544 430032 430923 436608 438124 443904 455328 456909 463896 471648 482112 483786 491184 499392 501126 512244 521883 528768 530604 552582 561816 563952 573376 574564 582144 599199 607104 609212 618528 628864 634446 642816 645048 654912 657186 665856 668168 682992 695844 705024 707472 723168 725679 736776 749088 751689 751936 768366 793152 795906 798932 809472 824704 842724 845928 860064 861846 873216 876248 910656 913818 927792 943296 951669 964224 967572 982368 985779 998784 1002252 1024488 1043766 1057536 1061208 1105164 1123632 1127904 1146752 1149128 1193859 1198398 1214208 1218424 1237056 1257728 1268892 1285632 1290096 1292769 1309824 1314372 1331712 1336336 1365984 1370727 1391688 1414944 1446336 1451358 1473552 1498176 1503378 1503872 1536732 1565649 1586304 1591812 1597864 1649408 1685448 1691856 1720128 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151213514501376 160108427119104 160664359157712 165847080420864 170115203814048 180747404052426 183131934448896 186577965473472 190417018260992 214219145543616 226820271752064 240162640678656 240996538736568 248770620631296 255172805721072 263404186550784 271121106078639 279866948210208 285625527391488 302427029002752 321328718315424 340230407628096 361494808104852 366263868897792 373155930946944 428438291087232 453640543504128 480325281357312 481993077473136 497541241262592 510345611442144 542242212157278 559733896420416 571251054782976 642657436630848 680460815256192 722989616209704 746311861893888 856876582174464 907281087008256 963986154946272 1020691222884288 1084484424314556 1119467792840832 1285314873261696 1360921630512384 1445979232419408 1492623723787776 1713753164348928 1927972309892544 2041382445768576 2168968848629112 2238935585681664 2570629746523392 2721843261024768 2891958464838816 3855944619785088 4082764891537152 4337937697258224 4477871171363328 5141259493046784 5783916929677632 7711889239570176 8165529783074304 8675875394516448 11567833859355264 15423778479140352 17351750789032896 23135667718710528 34703501578065792 46271335437421056 69407003156131584 138814006312263168
- Sum of all divisors σ(n): 457294433026847328
- Sum of proper divisors (its aliquot sum) s(n): 318480426714584160
- 138814006312263168 is an abundant number, because the sum of its proper divisors (318480426714584160) is greater than itself. Its abundance is 179666420402320992
Bases of 138814006312263168
- Binary: 1111011010010101010011010011100000001011101011110000000002
- Hexadecimal: 0x1ED2A9A70175E00
- Base-36: 11YTGI52W000
Squares and roots of 138814006312263168
- 138814006312263168 squared (1388140063122631682) is 19269328348461038650170302089396224
- 138814006312263168 cubed (1388140063122631683) is 2674852666996342225273624068731882244665228113477632
-
The
square root of 138814006312263168 is 372577517.1857034747 -
The
cube root of 138814006312263168 is 517778.9965635863
Scales and comparisons
How big is 138814006312263168?- 138,814,006,312,263,168 seconds is equal to 4,413,856,020 years, 42 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,814,006,312,263,168 would take you about thirteen billion, two hundred forty-one million, five hundred sixty-eight thousand and sixty-two 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 138814006312263168 cubic inches would be around 43148.2 feet tall.
Recreational maths with 138814006312263168
- 138814006312263168 backwards is 861362213600418831
- The number of decimal digits it has is: 18
- The sum of 138814006312263168's digits is 63
- More coming soon!
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"Number 138814006312263168 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138814006312263168 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138814006312263168/
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The information we have on file for 138814006312263168 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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