138017201225904
138,017,201,225,904 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138017201225904 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2560 divisors.
138017201225904 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138017201225904:
24 × 33 × 7 × 11 × 13 × 19 × 29 × 127 × 4561
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 19 × 29 × 127 × 4561)See below for interesting mathematical facts about the number 138017201225904 from the Numbermatics database.
Names of 138017201225904
- Cardinal: 138017201225904 can be written as One hundred thirty-eight trillion, seventeen billion, two hundred one million, two hundred twenty-five thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38017201225904 × 1014
Factors of 138017201225904
Divisors of 138017201225904
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 27 28 29 33 36 38 39 42 44 48 52 54 56 57 58 63 66 72 76 77 78 84 87 88 91 99 104 108 112 114 116 117 126 127 132 133 143 144 152 154 156 168 171 174 176 182 189 198 203 208 209 216 228 231 232 234 247 252 254 261 264 266 273 286 297 304 308 312 319 336 342 348 351 364 377 378 381 396 399 406 418 429 432 456 462 464 468 494 504 508 513 522 528 532 546 551 572 594 609 616 624 627 638 684 693 696 702 728 741 754 756 762 783 792 798 812 819 836 858 889 912 924 936 957 988 1001 1008 1016 1026 1044 1064 1092 1102 1131 1143 1144 1188 1197 1218 1232 1254 1276 1287 1368 1386 1392 1397 1404 1456 1463 1482 1508 1512 1524 1566 1584 1596 1624 1638 1651 1653 1672 1716 1729 1778 1827 1848 1872 1881 1914 1976 2002 2032 2052 2079 2088 2128 2184 2204 2223 2233 2262 2286 2288 2376 2394 2413 2436 2457 2508 2552 2574 2639 2667 2717 2736 2772 2794 2808 2871 2926 2964 3003 3016 3024 3048 3132 3192 3248 3276 3302 3306 3344 3393 3429 3432 3458 3556 3591 3654 3683 3696 3762 3828 3857 3861 3952 4004 4104 4147 4158 4176 4191 4368 4389 4408 4446 4466 4524 4561 4572 4752 4788 4826 4872 4914 4953 4959 5016 5104 5148 5187 5278 5334 5434 5481 5544 5588 5616 5643 5742 5852 5928 6006 6032 6061 6096 6264 6384 6552 6604 6612 6669 6699 6786 6858 6864 6916 7112 7163 7182 7239 7308 7366 7524 7656 7714 7722 7917 8001 8008 8151 8208 8294 8316 8382 8613 8778 8816 8892 8932 9009 9048 9122 9144 9576 9652 9744 9779 9828 9906 9918 10032 10179 10296 10374 10556 10668 10868 10962 11049 11088 11176 11286 11484 11557 11571 11704 11856 12012 12122 12441 12528 12573 13104 13167 13208 13224 13338 13398 13572 13683 13716 13832 14224 14326 14364 14478 14616 14732 14859 14877 15048 15312 15428 15444 15561 15834 16002 16016 16302 16588 16632 16764 16891 17226 17556 17784 17864 18018 18096 18161 18183 18244 18288 19019 19152 19304 19558 19656 19812 19836 20097 20358 20592 20748 21112 21336 21489 21717 21736 21924 22098 22352 22572 22968 23114 23142 23408 23751 24003 24024 24244 24453 24882 25146 25781 26334 26416 26448 26543 26676 26796 27027 27144 27366 27432 27664 28652 28728 28956 29029 29232 29337 29464 29718 29754 30096 30856 30888 31122 31369 31668 31927 32004 32604 33147 33176 33264 33528 33782 34452 34671 34713 35112 35568 35728 36036 36322 36366 36488 37323 37719 38038 38608 39116 39312 39501 39624 39672 40194 40513 40716 41049 41496 42224 42427 42672 42978 43434 43472 43848 44196 44577 45144 45936 46228 46284 46683 47502 47879 48006 48048 48488 48906 49764 50141 50171 50292 50673 51562 52668 53086 53352 53592 54054 54288 54483 54549 54732 54864 57057 57304 57456 57912 58058 58674 58928 59293 59436 59508 60291 61712 61776 62244 62738 63336 63854 64008 64467 65151 65208 66294 66352 67056 67564 68904 69342 69426 69977 70224 71253 72072 72644 72732 72976 73359 74646 75438 76076 77343 78232 78793 79002 79248 79344 79629 80388 81026 81432 82098 82992 84854 85956 86659 86868 87087 87696 88011 88392 89154 90288 92456 92568 93366 94107 95004 95758 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135843701994 136921826613 137879321904 139693523508 144218601072 147454274814 149369265396 151334650467 155249945136 160859208888 165092345964 168519171216 169971922692 172953886248 174264142962 176267179088 181124935992 182562435484 183046685976 186258031344 189584067618 196605699752 198300576474 199159020528 201779533956 216327901608 220123127952 221181412221 224053898094 226629230256 232352190616 241288813332 250484938704 252778756824 259430829372 261396214443 264400768632 269039378608 271687403988 273843653226 279387047016 294908549628 297450864711 298738530792 302669300934 319484262097 321718417776 330184691928 339943845384 345907772496 348528285924 362249871984 365124870968 366093371952 379168135236 393211399504 396601152948 403559067912 410765479839 432655803216 442362824442 448107796188 454003951401 464704381232 482577626664 505557513648 518861658744 522792428886 528801537264 543374807976 547687306452 558774094032 589817099256 594901729422 597477061584 605338601868 638968524194 660369383856 663544236663 679887690768 697056571848 730249741936 758336270472 784188643329 793202305896 807118135824 821530959678 884725648884 896215592376 908007902802 958452786291 965155253328 1037723317488 1045584857772 1086749615952 1095374612904 1179634198512 1189803458844 1210677203736 1232296439517 1277937048388 1327088473326 1394113143696 1516672540944 1568377286658 1586404611792 1643061919356 1769451297768 1792431184752 1816015805604 1916905572582 2091169715544 2190749225808 2379606917688 2421354407472 2464592879034 2555874096776 2654176946652 2875358358873 3136754573316 3286123838712 3538902595536 3632031611208 3833811145164 4182339431088 4759213835376 4929185758068 5111748193552 5308353893304 5750716717746 6273509146632 6572247677424 7264063222416 7667622290328 8626075076619 9858371516136 10616707786608 11501433435492 12547018293264 15335244580656 17252150153238 19716743032272 23002866870984 34504300306476 46005733741968 69008600612952 138017201225904
- Sum of all divisors σ(n): 583898628096000
- Sum of proper divisors (its aliquot sum) s(n): 445881426870096
- 138017201225904 is an abundant number, because the sum of its proper divisors (445881426870096) is greater than itself. Its abundance is 307864225644192
Bases of 138017201225904
- Binary: 111110110000110101000100100000010000000101100002
- Hexadecimal: 0x7D86A24080B0
- Base-36: 1CX88640C0
Squares and roots of 138017201225904
- 138017201225904 squared (1380172012259042) is 19048747834231676600440617216
- 138017201225904 cubed (1380172012259043) is 2629054862938656320674282025610669607563264
-
The
square root of 138017201225904 is 11748072.2344520847 -
The
cube root of 138017201225904 is 51678.6395335195
Scales and comparisons
How big is 138017201225904?- 138,017,201,225,904 seconds is equal to 4,388,520 years, 4 weeks, 2 days, 11 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,017,201,225,904 would take you about ten million, nine hundred seventy-one thousand, three hundred 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 138017201225904 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138017201225904
- 138017201225904 backwards is 409522102710831
- The number of decimal digits it has is: 15
- The sum of 138017201225904's digits is 45
- More coming soon!
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The information we have on file for 138017201225904 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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