42135406848
42,135,406,848 is an even composite number composed of five prime numbers multiplied together.
What does the number 42135406848 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
42135406848 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42135406848:
28 × 37 × 17 × 19 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 233)See below for interesting mathematical facts about the number 42135406848 from the Numbermatics database.
Names of 42135406848
- Cardinal: 42135406848 can be written as Forty-two billion, one hundred thirty-five million, four hundred six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 4.2135406848 × 1010
Factors of 42135406848
Divisors of 42135406848
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 27 32 34 36 38 48 51 54 57 64 68 72 76 81 96 102 108 114 128 136 144 152 153 162 171 192 204 216 228 233 243 256 272 288 304 306 323 324 342 384 408 432 456 459 466 486 513 544 576 608 612 646 648 684 699 729 768 816 864 912 918 932 969 972 1026 1088 1152 1216 1224 1292 1296 1368 1377 1398 1458 1539 1632 1728 1824 1836 1864 1938 1944 2052 2097 2176 2187 2304 2432 2448 2584 2592 2736 2754 2796 2907 2916 3078 3264 3456 3648 3672 3728 3876 3888 3961 4104 4131 4194 4352 4374 4427 4617 4864 4896 5168 5184 5472 5508 5592 5814 5832 6156 6291 6528 6912 7296 7344 7456 7752 7776 7922 8208 8262 8388 8721 8748 8854 9234 9792 10336 10368 10944 11016 11184 11628 11664 11883 12312 12393 12582 13056 13281 13851 14592 14688 14912 15504 15552 15844 16416 16524 16776 17442 17496 17708 18468 18873 19584 20672 20736 21888 22032 22368 23256 23328 23766 24624 24786 25164 26163 26562 27702 29376 29824 31008 31104 31688 32832 33048 33552 34884 34992 35416 35649 36936 37179 37746 39168 39843 41344 41553 43776 44064 44736 46512 46656 47532 49248 49572 50328 52326 53124 55404 56619 58752 59648 62016 62208 63376 65664 66096 67104 69768 69984 70832 71298 73872 74358 75259 75492 78489 79686 82688 83106 88128 89472 93024 93312 95064 98496 99144 100656 104652 106248 106947 110808 113238 117504 119529 124032 126752 131328 132192 134208 139536 139968 141664 142596 147744 148716 150518 150984 156978 159372 166212 169857 176256 178944 186048 186624 190128 196992 198288 201312 209304 212496 213894 221616 225777 226476 235467 239058 248064 253504 264384 268416 279072 279936 283328 285192 295488 297432 301036 301968 313956 318744 320841 332424 339714 352512 358587 372096 380256 393984 396576 402624 418608 424992 427788 443232 451554 452952 470934 478116 507008 509571 528768 536832 558144 559872 566656 570384 590976 594864 602072 603936 627912 637488 641682 664848 677331 679428 706401 717174 744192 760512 793152 805248 837216 849984 855576 886464 903108 905904 941868 956232 962523 1014016 1019142 1057536 1075761 1116288 1133312 1140768 1181952 1189728 1204144 1207872 1255824 1274976 1283364 1329696 1354662 1358856 1412802 1434348 1521024 1586304 1610496 1674432 1699968 1711152 1772928 1806216 1811808 1883736 1912464 1925046 2031993 2038284 2151522 2232576 2281536 2379456 2408288 2415744 2511648 2549952 2566728 2659392 2709324 2717712 2825604 2868696 2887569 3042048 3172608 3227283 3348864 3399936 3422304 3545856 3612432 3623616 3767472 3824928 3850092 4063986 4076568 4303044 4563072 4758912 4816576 4831488 5023296 5099904 5133456 5318784 5418648 5435424 5651208 5737392 5775138 6095979 6454566 6697728 6844608 7224864 7247232 7534944 7649856 7700184 8127972 8153136 8606088 8662707 9126144 9517824 9633152 9681849 10046592 10199808 10266912 10637568 10837296 10870848 11302416 11474784 11550276 12191958 12909132 13689216 14449728 14494464 15069888 15299712 15400368 16255944 16306272 17212176 17325414 18287937 19266304 19363698 20093184 20533824 21674592 21741696 22604832 22949568 23100552 24383916 25818264 27378432 28899456 30139776 30599424 30800736 32511888 32612544 34424352 34650828 36575874 38727396 41067648 43349184 43483392 45209664 45899136 46201104 48767832 51636528 54863811 57798912 60279552 61601472 65023776 65225088 68848704 69301656 73151748 77454792 82135296 86698368 90419328 91798272 92402208 97535664 103273056 109727622 123202944 130047552 130450176 137697408 138603312 146303496 154909584 164591433 173396736 180838656 184804416 195071328 206546112 219455244 246405888 260095104 275394816 277206624 292606992 309819168 329182866 369608832 390142656 413092224 438910488 520190208 554413248 585213984 619638336 658365732 739217664 780285312 826184448 877820976 1108826496 1170427968 1239276672 1316731464 1560570624 1755641952 2217652992 2340855936 2478553344 2633462928 3511283904 4681711872 5266925856 7022567808 10533851712 14045135616 21067703424 42135406848
- Sum of all divisors σ(n): 141192979200
- Sum of proper divisors (its aliquot sum) s(n): 99057572352
- 42135406848 is an abundant number, because the sum of its proper divisors (99057572352) is greater than itself. Its abundance is 56922165504
Bases of 42135406848
- Binary: 1001110011110111011101001001000000002
- Hexadecimal: 0x9CF774900
- Base-36: JCUC000
Squares and roots of 42135406848
- 42135406848 squared (421354068482) is 1775392510246485295104
- 42135406848 cubed (421354068483) is 74806885734127666671256382472192
-
The
square root of 42135406848 is 205269.1083626565 -
The
cube root of 42135406848 is 3479.7581758239
Scales and comparisons
How big is 42135406848?- 42,135,406,848 seconds is equal to 1,339 years, 40 weeks, 2 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 42,135,406,848 would take you about two thousand, six hundred seventy-nine 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 42135406848 cubic inches would be around 290 feet tall.
Recreational maths with 42135406848
- 42135406848 backwards is 84860453124
- The number of decimal digits it has is: 11
- The sum of 42135406848's digits is 45
- More coming soon!
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