42688454049792
42,688,454,049,792 is an even composite number composed of six prime numbers multiplied together.
What does the number 42688454049792 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
42688454049792 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 42688454049792:
214 × 34 × 31 × 43 × 59 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 43 × 59 × 409)See below for interesting mathematical facts about the number 42688454049792 from the Numbermatics database.
Names of 42688454049792
- Cardinal: 42688454049792 can be written as Forty-two trillion, six hundred eighty-eight billion, four hundred fifty-four million, forty-nine thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 4.2688454049792 × 1013
Factors of 42688454049792
Divisors of 42688454049792
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 59 62 64 72 81 86 93 96 108 118 124 128 129 144 162 172 177 186 192 216 236 248 256 258 279 288 324 344 354 372 384 387 409 432 472 496 512 516 531 558 576 648 688 708 744 768 774 818 837 864 944 992 1024 1032 1062 1116 1152 1161 1227 1296 1333 1376 1416 1488 1536 1548 1593 1636 1674 1728 1829 1888 1984 2048 2064 2124 2232 2304 2322 2454 2511 2537 2592 2666 2752 2832 2976 3072 3096 3186 3272 3348 3456 3483 3658 3681 3776 3968 3999 4096 4128 4248 4464 4608 4644 4779 4908 5022 5074 5184 5332 5487 5504 5664 5952 6144 6192 6372 6544 6696 6912 6966 7316 7362 7552 7611 7936 7998 8192 8256 8496 8928 9216 9288 9558 9816 10044 10148 10368 10664 10974 11008 11043 11328 11904 11997 12288 12384 12679 12744 13088 13392 13824 13932 14632 14724 15104 15222 15872 15996 16384 16461 16512 16992 17587 17856 18432 18576 19116 19632 20088 20296 20736 21328 21948 22016 22086 22656 22833 23808 23994 24131 24576 24768 25358 25488 26176 26784 27648 27864 29264 29448 30208 30444 31744 31992 32922 33024 33129 33984 35174 35712 35991 36864 37152 38037 38232 39264 40176 40592 41472 42656 43896 44032 44172 45312 45666 47616 47988 48262 49152 49383 49536 50716 50976 52352 52761 53568 55296 55728 58528 58896 60416 60888 63488 63984 65844 66048 66258 67968 68499 70348 71424 71982 72393 73728 74304 76074 76464 78528 78647 80352 81184 82944 85312 87792 88064 88344 90624 91332 95232 95976 96524 98766 99072 101432 101952 104704 105522 107136 107973 110592 111456 114111 117056 117792 120832 121776 126976 127968 131688 132096 132516 135936 136998 140696 142848 143964 144786 147456 148149 148608 152148 152928 157056 157294 158283 160704 162368 165888 170624 175584 176128 176688 181248 182664 190464 191952 193048 197532 198144 202864 203904 205497 209408 211044 214272 215946 217179 221184 222912 228222 234112 235584 235941 241664 243552 253952 255936 263376 264192 265032 271872 273996 281392 285696 287928 289572 296298 297216 304296 305856 314112 314588 316566 321408 324736 331776 341248 342333 351168 352256 353376 362496 365328 380928 383904 386096 395064 396288 405728 407808 410994 418816 422088 428544 431892 434358 442368 445824 456444 468224 471168 471882 474849 483328 487104 507904 511872 526752 528384 530064 543744 545197 547992 562784 571392 575856 579144 592596 594432 608592 611712 628224 629176 633132 642816 649472 651537 663552 682496 684666 702336 704512 706752 707823 724992 730656 748061 761856 767808 772192 790128 792576 811456 815616 821988 837632 844176 857088 863784 868716 891648 912888 936448 942336 943764 949698 966656 974208 1023744 1026999 1037633 1053504 1056768 1060128 1087488 1090394 1095984 1125568 1142784 1151712 1158288 1185192 1188864 1217184 1223424 1256448 1258352 1266264 1285632 1298944 1303074 1327104 1364992 1369332 1404672 1413504 1415646 1424547 1449984 1461312 1496122 1523712 1535616 1544384 1580256 1585152 1622912 1631232 1635591 1643976 1675264 1688352 1714176 1727568 1737432 1783296 1825776 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32938621952 34790916096 36768694272 37055949696 38251302912 40196284416 41364781056 41687943408 43032715776 45220819968 49407932928 51001737216 52186374144 55153041408 55583924544 57376954368 60294426624 62047171584 65877243904 74111899392 76502605824 80392568832 82729562112 83375886816 86065431552 90441639936 98815865856 104372748288 110306082816 111167849088 114753908736 120588853248 124094343168 131754487808 148223798784 153005211648 165459124224 166751773632 172130863104 180883279872 197631731712 222335698176 229507817472 241177706496 248188686336 263508975616 296447597568 330918248448 333503547264 344261726208 361766559744 395263463424 444671396352 459015634944 496377372672 527017951232 592895195136 667007094528 688523452416 723533119488 790526926848 889342792704 992754745344 1185790390272 1334014189056 1377046904832 1581053853696 1778685585408 2371580780544 2668028378112 3557371170816 4743161561088 5336056756224 7114742341632 10672113512448 14229484683264 21344227024896 42688454049792
- Sum of all divisors σ(n): 137328227097600
- Sum of proper divisors (its aliquot sum) s(n): 94639773047808
- 42688454049792 is an abundant number, because the sum of its proper divisors (94639773047808) is greater than itself. Its abundance is 51951318998016
Bases of 42688454049792
- Binary: 10011011010011001011100010001111000000000000002
- Hexadecimal: 0x26D32E23C000
- Base-36: F4QSZCW00
Squares and roots of 42688454049792
- 42688454049792 squared (426884540497922) is 1822304109161203005615243264
- 42688454049792 cubed (426884540497923) is 77791345228675159293222673829668048601088
-
The
square root of 42688454049792 is 6533640.1836795389 -
The
cube root of 42688454049792 is 34949.1653999231
Scales and comparisons
How big is 42688454049792?- 42,688,454,049,792 seconds is equal to 1,357,360 years, 41 weeks, 2 days, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 42,688,454,049,792 would take you about three million, three hundred ninety-three thousand, four 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 42688454049792 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688454049792
- 42688454049792 backwards is 29794045488624
- 42688454049792 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42688454049792's digits is 72
- More coming soon!
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The information we have on file for 42688454049792 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 42688454049792, math, Factors of 42688454049792, curriculum, school, college, exams, university, Prime factorization of 42688454049792, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred eighty-eight billion, four hundred fifty-four million, forty-nine thousand, seven hundred ninety-two.