138742219862458416

Names of 138742219862458416

• Cardinal: 138742219862458416 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, two hundred nineteen billion, eight hundred sixty-two million, four hundred fifty-eight thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38742219862458416 × 10¹⁷

Factors of 138742219862458416

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 101146

Divisors of 138742219862458416

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 48 51 54 68 72 86 102 108 129 136 144 153 172 204 216 258 272 306 344 387 408 432 459 516 612 688 731 774 816 918 1032 1161 1224 1462 1548 1836 1849 2064 2193 2322 2448 2924 3096 3672 3698 4386 4644 5547 5848 6192 6579 7344 7396 8772 9288 11094 11696 13158 14792 16641 17544 18576 19737 22188 26316 29584 31433 33282 35088 39474 44376 49923 52632 62866 66564 78948 88752 94299 99846 101081 105264 125732 133128 157896 188598 199692 202162 251464 266256 282897 303243 315792 377196 399384 404324 502928 565794 606486 754392 798768 808648 848691 909729 1131588 1212972 1508784 1617296 1697382 1718377 1819458 2263176 2425944 2729187 3394764 3436754 3638916 4346483 4526352 4851888 5155131 5458374 6789528 6873508 7277832 8692966 10310262 10916748 13039449 13579056 13747016 14555664 15465393 17385932 20620524 21833496 26078898 27494032 30930786 34771864 39118347 41241048 43666992 46396179 52157796 61861572 69543728 73890211 78236694 82482096 92792358 104315592 117355041 123723144 147780422 156473388 185584716 186898769 208631184 221670633 234710082 247446288 295560844 312946776 371169432 373797538 443341266 469420164 560696307 591121688 625893552 665011899 742338864 747595076 886682532 938840328 1121392614 1182243376 1330023798 1495190152 1682088921 1773365064 1877680656 1995035697 2242785228 2660047596 2990380304 3177279073 3364177842 3546730128 3990071394 4485570456 5046266763 5320095192 6354558146 6728355684 7980142788 8971140912 9531837219 10092533526 10217368561 10640190384 12709116292 13456711368 15960285576 19063674438 20185067052 20434737122 25418232584 26913422736 28595511657 30652105683 31920571152 38127348876 40370134104 40869474244 50836465168 57191023314 61304211366 76254697752 80740268208 81738948488 85786534971 91956317049 114382046628 122608422732 152509395504 163477896976 171573069942 173695265537 183912634098 228764093256 245216845464 275868951147 343146139884 347390531074 367825268196 439346848123 457528186512 490433690928 521085796611 551737902294 686292279768 694781062148 735650536392 878693696246 1042171593222 1103475804588 1318040544369 1372584559536 1389562124296 1471301072784 1563257389833 1757387392492 2084343186444 2206951609176 2636081088738 2779124248592 3126514779666 3514774784984 3954121633107 4168686372888 4413903218352 4689772169499 5272162177476 6253029559332 7029549569968 7468896418091 7908243266214 8337372745776 9379544338998 10544324354952 11862364899321 12506059118664 14937792836182 15816486532428 18759088677996 18891914469289 21088648709904 22406689254273 23724729798642 25012118237328 29875585672364 31632973064856 37518177355992 37783828938578 44813378508546 47449459597284 56675743407867 59751171344728 63265946129712 67220067762819 75036354711984 75567657877156 89626757017092 94898919194568 113351486815734 119502342689456 134440135525638 151135315754312 170027230223601 179253514034184 189797838389136 201660203288457 226702973631468 268880271051276 302270631508624 321162545977913 340054460447202 358507028068368 403320406576914 453405947262936 510081690670803 537760542102552 642325091955826 680108920894404 806640813153828 906811894525872 963487637933739 1020163381341606 1075521084205104 1284650183911652 1360217841788808 1613281626307656 1926975275867478 2040326762683212 2569300367823304 2720435683577616 2890462913801217 3226563252615312 3853950551734956 4080653525366424 5138600735646608 5780925827602434 7707901103469912 8161307050732848 8671388741403651 11561851655204868 15415802206939824 17342777482807302 23123703310409736 34685554965614604 46247406620819472 69371109931229208 138742219862458416
• Sum of all divisors σ(n): 431706075163321680
• Sum of proper divisors (its aliquot sum) s(n): 292963855300863264
• 138742219862458416 is an abundant number, because the sum of its proper divisors (292963855300863264) is greater than itself. Its abundance is 154221635438404848

Bases of 138742219862458416

• Binary: 111101100111010010101000001011010010000000100000000110000₂
• Hexadecimal: 0x1ECE9505A404030
• Base-36: 11Y40FWG59O0

Squares and roots of 138742219862458416

• 138742219862458416 squared (138742219862458416²) is 19249403572362750605964727329229056
• 138742219862458416 cubed (138742219862458416³) is 2670704982657945205979860170410561672954066138935296
• The square root of 138742219862458416 is 372481167.1245385475
• The cube root of 138742219862458416 is 517689.7262128665

Scales and comparisons

• 138,742,219,862,458,416 seconds is equal to 4,411,573,433 years, 39 weeks, 4 days, 13 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,742,219,862,458,416 would take you about thirteen billion, two hundred thirty-four million, seven hundred twenty thousand, three hundred one 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 138742219862458416 cubic inches would be around 43140.8 feet tall.

Recreational maths with 138742219862458416

• 138742219862458416 backwards is 614854268912247831
• The number of decimal digits it has is: 18
• The sum of 138742219862458416's digits is 81
• More coming soon!