138708568038816
138,708,568,038,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 138708568038816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138708568038816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138708568038816:
25 × 33 × 293 × 31 × 592 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 29 × 29 × 29 × 31 × 59 × 59 × 61)See below for interesting mathematical facts about the number 138708568038816 from the Numbermatics database.
Names of 138708568038816
- Cardinal: 138708568038816 can be written as One hundred thirty-eight trillion, seven hundred eight billion, five hundred sixty-eight million, thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38708568038816 × 1014
Factors of 138708568038816
Divisors of 138708568038816
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 31 32 36 48 54 58 59 61 62 72 87 93 96 108 116 118 122 124 144 174 177 183 186 216 232 236 244 248 261 279 288 348 354 366 372 432 464 472 488 496 522 531 549 558 696 708 732 744 783 837 841 864 899 928 944 976 992 1044 1062 1098 1116 1392 1416 1464 1488 1566 1593 1647 1674 1682 1711 1769 1798 1829 1888 1891 1952 2088 2124 2196 2232 2523 2697 2784 2832 2928 2976 3132 3186 3294 3348 3364 3422 3481 3538 3596 3599 3658 3782 4176 4248 4392 4464 5046 5133 5307 5394 5487 5664 5673 5856 6264 6372 6588 6696 6728 6844 6962 7076 7192 7198 7316 7564 7569 8091 8352 8496 8784 8928 10092 10266 10443 10614 10788 10797 10974 11346 12528 12744 13176 13392 13456 13688 13924 14152 14384 14396 14632 15128 15138 15399 15921 16182 16461 16992 17019 17568 20184 20532 20886 21228 21576 21594 21948 22692 22707 24273 24389 25056 25488 26071 26352 26784 26912 27376 27848 28304 28768 28792 29264 30256 30276 30798 31329 31842 32364 32391 32922 34038 40368 41064 41772 42456 43152 43188 43896 45384 45414 46197 47763 48546 48778 49383 49619 50976 51057 51301 52142 52704 53041 54752 54839 55696 56608 57584 58528 60512 60552 61596 62658 63684 64728 64782 65844 68076 73167 78213 80736 82128 83544 84912 86304 86376 87792 90768 90828 92394 93987 95526 97092 97173 97556 98766 99238 100949 102114 102602 104284 104371 106082 107911 109678 111392 111569 115168 121104 123192 125316 127368 129456 129564 131688 136152 146334 148857 153903 156426 159123 164256 164517 167088 169824 172752 175584 181536 181656 184788 187974 191052 194184 194346 195112 197532 198476 201898 204228 205204 208568 208742 212164 212341 215822 219356 219501 223138 234639 242208 246384 250632 254736 258912 259128 263376 272304 292668 297714 302847 307806 312852 313113 318246 323733 329034 334176 334707 345504 363312 369576 375948 382104 388368 388692 390224 395064 396952 403796 408456 410408 417136 417484 424328 424682 431644 438712 439002 446276 446571 461709 469278 477369 492768 493551 501264 509472 518256 526752 544608 585336 595428 605694 615612 625704 626226 636492 637023 647466 658068 658503 669414 703917 726624 739152 751896 756059 764208 776736 777384 780448 790128 793904 807592 816912 820816 834272 834968 848656 849364 863288 877424 878004 892552 893142 908541 923418 938556 939339 954738 971199 987102 1002528 1004121 1036512 1170672 1190856 1211388 1231224 1251408 1252452 1272984 1274046 1294932 1316136 1317006 1338828 1339713 1385127 1407834 1432107 1438951 1478304 1480653 1487729 1503792 1512118 1528416 1538189 1554768 1580256 1587808 1590331 1615184 1633824 1641632 1669936 1697312 1698728 1726576 1754848 1756008 1785104 1786284 1817082 1846836 1877112 1878678 1909476 1911069 1942398 1974204 2008242 2268177 2341344 2381712 2422776 2462448 2502816 2504904 2545968 2548092 2589864 2632272 2634012 2677656 2679426 2725623 2770254 2815668 2818017 2864214 2877902 2913597 2927521 2961306 2975458 3007584 3012363 3024236 3026759 3076378 3109536 3129419 3180662 3230368 3235501 3339872 3397456 3453152 3512016 3570208 3572568 3634164 3693672 3754224 3757356 3818952 3822138 3884796 3948408 4016484 4316853 4463187 4536354 4614567 4763424 4770993 4845552 4924896 5009808 5091936 5096184 5179728 5264544 5268024 5355312 5358852 5451246 5540508 5631336 5636034 5728428 5733207 5755804 5827194 5855042 5922612 5950916 6024726 6048472 6053518 6152756 6157889 6258838 6361324 6471002 6582571 6794912 6804531 7024032 7145136 7268328 7387344 7508448 7514712 7637904 7644276 7769592 7896816 8032968 8633706 8782563 8926374 9072708 9080277 9229134 9388257 9541986 9691104 9706503 10019616 10192368 10359456 10536048 10710624 10717704 10902492 11081016 11262672 11272068 11456856 11466414 11511608 11654388 11710084 11845224 11901832 12049452 12096944 12107036 12305512 12315778 12517676 12722648 12942004 12950559 13165142 13389561 13609062 13843701 14290272 14312979 14536656 14774688 15029424 15275808 15288552 15539184 15793632 16065936 17267412 17565126 17852748 18145416 18160554 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154292066784 160542324119 164932898976 165721108768 177150150752 186436247364 189492579288 195916056552 199293919596 248581663152 252656772384 261221408736 265725226128 279654371046 284238868932 293874084828 298940879394 321084648238 372872494728 378985158576 391832113104 398587839192 481626972357 497163326304 531450452256 559308742092 568477737864 587748169656 597881758788 642169296476 745744989456 757970317152 783664226208 797175678384 963253944714 1118617484184 1136955475728 1175496339312 1195763517576 1284338592952 1444880917071 1491489978912 1594351356768 1926507889428 2237234968368 2273910951456 2350992678624 2391527035152 2568677185904 2889761834142 3853015778856 4334642751213 4474469936736 4783054070304 5137354371808 5779523668284 7706031557712 8669285502426 11559047336568 15412063115424 17338571004852 23118094673136 34677142009704 46236189346272 69354284019408 138708568038816
- Sum of all divisors σ(n): 447199677388800
- Sum of proper divisors (its aliquot sum) s(n): 308491109349984
- 138708568038816 is an abundant number, because the sum of its proper divisors (308491109349984) is greater than itself. Its abundance is 169782541311168
Bases of 138708568038816
- Binary: 111111000100111100110101110110011011101101000002
- Hexadecimal: 0x7E279AECDDA0
- Base-36: 1D61U427C0
Squares and roots of 138708568038816
- 138708568038816 squared (1387085680388162) is 19240066847378847552482681856
- 138708568038816 cubed (1387085680388163) is 2668762121371016932243034991642509986922496
-
The
square root of 138708568038816 is 11777460.1692731699 -
The
cube root of 138708568038816 is 51764.7867740669
Scales and comparisons
How big is 138708568038816?- 138,708,568,038,816 seconds is equal to 4,410,503 years, 21 weeks, 2 days, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,708,568,038,816 would take you about eleven million, twenty-six thousand, two hundred fifty-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 138708568038816 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138708568038816
- 138708568038816 backwards is 618830865807831
- 138708568038816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138708568038816's digits is 72
- More coming soon!
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The information we have on file for 138708568038816 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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