Search a number
-
+
4037420537514 = 234713322185027
BaseRepresentation
bin111010110000001001000…
…001000101011010101010
3112021222021210000222010000
4322300021001011122222
51012122114124200024
612330433154003430
7564460021221120
oct72601101053252
915258253028100
104037420537514
111317295702331
1255258bb76576
1323395b649020
14dd5ab0d3910
15700512bbcc9
hex3ac090456aa

4037420537514 has 160 divisors (see below), whose sum is σ = 11138126541696. Its totient is φ = 1064471103360.

The previous prime is 4037420537509. The next prime is 4037420537531. The reversal of 4037420537514 is 4157350247304.

It is a happy number.

4037420537514 is a `hidden beast` number, since 4 + 0 + 3 + 74 + 205 + 375 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4037420537514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47441469 + ... + 47526495.

Almost surely, 24037420537514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4037420537514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569063270848).

4037420537514 is an abundant number, since it is smaller than the sum of its proper divisors (7100706004182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4037420537514 is a wasteful number, since it uses less digits than its factorization.

4037420537514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88282 (or 88273 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 4037420537514 in words is "four trillion, thirty-seven billion, four hundred twenty million, five hundred thirty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 3221 4914 6442 7371 9663 14742 19326 22547 28989 41873 45094 57978 67641 83746 85027 86967 125619 135282 170054 173934 202923 251238 255081 260901 293111 376857 405846 510162 521802 586222 595189 608769 753714 765243 879333 1105351 1130571 1190378 1217538 1530486 1758666 1785567 1826307 2210702 2261142 2295729 2637999 3316053 3391713 3571134 3652614 4591458 5275998 5356701 6632106 6783426 6887187 7737457 7913997 9948159 10713402 13774374 15474914 15827994 16070103 19896318 23212371 23741991 29844477 32140206 46424742 47483982 48210309 59688954 69637113 89533431 96420618 139274226 179066862 208911339 273871967 417822678 547743934 626734017 821615901 1253468034 1643231802 1917103769 2464847703 3560335571 3834207538 4929695406 5751311307 7120671142 7394543109 10681006713 11502622614 14789086218 17253933921 21362013426 22183629327 24922348997 32043020139 34507867842 44367258654 49844697994 51761801763 64086040278 74767046991 96129060417 103523603526 149534093982 155285405289 192258120834 224301140973 288387181251 310570810578 448602281946 576774362502 672903422919 1345806845838 2018710268757 4037420537514