42157562138984448
42,157,562,138,984,448 is an even composite number composed of five prime numbers multiplied together.
What does the number 42157562138984448 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1710 divisors.
42157562138984448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 42157562138984448:
218 × 32 × 134 × 372 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 37 × 37 × 457)See below for interesting mathematical facts about the number 42157562138984448 from the Numbermatics database.
Names of 42157562138984448
- Cardinal: 42157562138984448 can be written as Forty-two quadrillion, one hundred fifty-seven trillion, five hundred sixty-two billion, one hundred thirty-eight million, nine hundred eighty-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.2157562138984448 × 1016
Factors of 42157562138984448
Divisors of 42157562138984448
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 169 192 208 222 234 256 288 296 312 333 338 384 416 444 457 468 481 507 512 576 592 624 666 676 768 832 888 914 936 962 1014 1024 1152 1184 1248 1332 1352 1369 1371 1443 1521 1536 1664 1776 1828 1872 1924 2028 2048 2197 2304 2368 2496 2664 2704 2738 2742 2886 3042 3072 3328 3552 3656 3744 3848 4056 4096 4107 4113 4329 4394 4608 4736 4992 5328 5408 5476 5484 5772 5941 6084 6144 6253 6591 6656 7104 7312 7488 7696 8112 8192 8214 8226 8658 8788 9216 9472 9984 10656 10816 10952 10968 11544 11882 12168 12288 12321 12506 13182 13312 14208 14624 14976 15392 16224 16384 16428 16452 16909 17316 17576 17797 17823 18432 18759 18944 19773 19968 21312 21632 21904 21936 23088 23764 24336 24576 24642 25012 26364 26624 28416 28561 29248 29952 30784 32448 32768 32856 32904 33818 34632 35152 35594 35646 36864 37518 37888 39546 39936 42624 43264 43808 43872 46176 47528 48672 49152 49284 50024 50727 52728 53248 53391 53469 56277 56832 57122 58496 59904 61568 64896 65536 65712 65808 67636 69264 70304 71188 71292 73728 75036 75776 77233 79092 79872 81289 85248 85683 86528 87616 87744 92352 95056 97344 98304 98568 100048 101454 105456 106496 106782 106938 112554 113664 114244 116992 119808 123136 129792 131072 131424 131616 135272 138528 140608 142376 142584 147456 150072 151552 152181 154466 158184 159744 160173 162578 170496 171366 173056 175232 175488 184704 190112 194688 196608 197136 200096 202908 210912 212992 213564 213876 219817 225108 227328 228488 231361 231699 233984 239616 243867 246272 257049 259584 262144 262848 263232 270544 277056 281216 284752 285168 294912 300144 303104 304362 308932 316368 319488 320346 325156 340992 342732 346112 350464 350976 369408 380224 389376 393216 394272 400192 405816 421824 425984 427128 427752 439634 450216 454656 456976 462722 463398 467968 479232 487734 492544 514098 519168 525696 526464 541088 554112 562432 569504 570336 589824 600288 606208 608724 617864 625633 632736 638976 640692 650312 659451 681984 685464 692224 694083 695097 700928 701952 731601 738816 760448 778752 786432 788544 800384 811632 843648 851968 854256 855504 879268 900432 909312 913952 925444 926796 935936 958464 975468 985088 1004029 1028196 1038336 1051392 1052928 1056757 1082176 1108224 1124864 1139008 1140672 1179648 1200576 1212416 1217448 1235728 1251266 1265472 1277952 1281384 1300624 1318902 1363968 1370928 1384448 1388166 1390194 1401856 1403904 1463202 1477632 1520896 1557504 1577088 1600768 1623264 1687296 1703936 1708512 1711008 1758536 1800864 1818624 1827904 1850888 1853592 1871872 1876899 1916928 1950936 1970176 1978353 2008058 2056392 2076672 2082249 2102784 2105856 2113514 2164352 2216448 2249728 2278016 2281344 2359296 2401152 2424832 2434896 2471456 2502532 2530944 2555904 2562768 2601248 2637804 2727936 2741856 2768896 2776332 2780388 2803712 2807808 2857621 2926404 2955264 3007693 3012087 3041792 3115008 3154176 3170271 3201536 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263200178176 263907014592 266509647872 272924540928 277022507008 278172258624 280915574784 285899265808 295668252672 296100200448 299823353856 304325206016 311650320384 320307273728 320775217152 321636674034 324808633344 342365856768 351876019456 360345682944 369013358592 370896344832 374554099712 394224336896 394800267264 395860521888 399764471808 415533760512 421373362176 427700289536 428848898712 433078177792 443502379008 456487809024 480460910592 481162825728 487212950016 492017811456 494528459776 518613368832 527814029184 533019295744 545849081856 556344517248 561831149568 571798531616 591336505344 592200400896 599646707712 608650412032 623300640768 640614547456 641550434304 643273348068 649617266688 684731713536 703752038912 720691365888 738026717184 741792689664 749108199424 788448673792 789600534528 791721043776 799528943616 831067521024 842746724352 855400579072 857697797424 866156355584 887004758016 912975618048 960921821184 962325651456 974425900032 989056919552 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73190212046848 82338988552704 83151010136064 87645659332608 90080260980736 92248494833664 94949464276992 101340293603328 109785318070272 124726515204096 126599285702656 135120391471104 142424196415488 146380424093696 164677977105408 180160521961472 189898928553984 202680587206656 219570636140544 249453030408192 270240782942208 284848392830976 292760848187392 329355954210816 360321043922944 379797857107968 405361174413312 439141272281088 540481565884416 569696785661952 585521696374784 658711908421632 810722348826624 878282544562176 1080963131768832 1139393571323904 1171043392749568 1317423816843264 1621444697653248 1756565089124352 2342086785499136 2634847633686528 3242889395306496 3513130178248704 4684173570998272 5269695267373056 7026260356497408 10539390534746112 14052520712994816 21078781069492224 42157562138984448
- Sum of all divisors σ(n): 135895902695269626
- Sum of proper divisors (its aliquot sum) s(n): 93738340556285178
- 42157562138984448 is an abundant number, because the sum of its proper divisors (93738340556285178) is greater than itself. Its abundance is 51580778417300730
Bases of 42157562138984448
- Binary: 100101011100011000010100010100111110010000000000000000002
- Hexadecimal: 0x95C61453E40000
- Base-36: BJ3LWOLJWG0
Squares and roots of 42157562138984448
- 42157562138984448 squared (421575621389844482) is 1777260045502334986508228785864704
- 42157562138984448 cubed (421575621389844483) is 74924950805399014715086729361209607752764088123392
-
The
square root of 42157562138984448 is 205323067.7225149193 -
The
cube root of 42157562138984448 is 348036.7968174809
Scales and comparisons
How big is 42157562138984448?- 42,157,562,138,984,448 seconds is equal to 1,340,480,074 years, 6 weeks, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 42,157,562,138,984,448 would take you about four billion, twenty-one million, four hundred forty thousand, two hundred twenty-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 42157562138984448 cubic inches would be around 29003.1 feet tall.
Recreational maths with 42157562138984448
- 42157562138984448 backwards is 84448983126575124
- The number of decimal digits it has is: 17
- The sum of 42157562138984448's digits is 81
- More coming soon!
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MLA style:
"Number 42157562138984448 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 42157562138984448 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/42157562138984448/
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Numbermatics. 2024. "Number 42157562138984448 - Facts about the integer". https://numbermatics.com/n/42157562138984448/
The information we have on file for 42157562138984448 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!
Keywords: Divisors of 42157562138984448, math, Factors of 42157562138984448, curriculum, school, college, exams, university, Prime factorization of 42157562138984448, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred fifty-seven trillion, five hundred sixty-two billion, one hundred thirty-eight million, nine hundred eighty-four thousand, four hundred forty-eight.