Search a number
-
+
40315833851304 = 233111779113709227
BaseRepresentation
bin10010010101010110000101…
…11101001001110110101000
312021202011012210001000200210
421022223002331021312220
520241013311431220204
6221424501031501120
711330502642351024
oct1112530275116650
9167664183030623
1040315833851304
11119339381a51a0
12463158b2277a0
1319659c791824b
149d542249d384
1549da92502389
hex24aac2f49da8

40315833851304 has 128 divisors (see below), whose sum is σ = 117893727590400. Its totient is φ = 11352729123840.

The previous prime is 40315833851239. The next prime is 40315833851309.

40315833851304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40315833851309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56500062 + ... + 57209165.

It is an arithmetic number, because the mean of its divisors is an integer number (921044746800).

Almost surely, 240315833851304 is an apocalyptic number.

40315833851304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40315833851304 is an abundant number, since it is smaller than the sum of its proper divisors (77577893739096).

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

40315833851304 is a wasteful number, since it uses less digits than its factorization.

40315833851304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113709343 (or 113709339 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

It can be divided in two parts, 4031583 and 3851304, that added together give a palindrome (7882887).

The spelling of 40315833851304 in words is "forty trillion, three hundred fifteen billion, eight hundred thirty-three million, eight hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 79 88 102 132 136 158 187 204 237 264 316 374 408 474 561 632 748 869 948 1122 1343 1496 1738 1896 2244 2607 2686 3476 4029 4488 5214 5372 6952 8058 10428 10744 14773 16116 20856 29546 32232 44319 59092 88638 118184 177276 354552 113709227 227418454 341127681 454836908 682255362 909673816 1250801497 1364510724 1933056859 2501602994 2729021448 3752404491 3866113718 5003205988 5799170577 7504808982 7732227436 8983028933 10006411976 11598341154 15009617964 15464454872 17966057866 21263625449 23196682308 26949086799 30019235928 35932115732 42527250898 46393364616 53898173598 63790876347 71864231464 85054501796 98813318263 107796347196 127581752694 152711491861 170109003592 197626636526 215592694392 255163505388 296439954789 305422983722 395253273052 458134475583 510327010776 592879909578 610845967444 790506546104 916268951166 1185759819156 1221691934888 1679826410471 1832537902332 2371519638312 3359652820942 3665075804664 5039479231413 6719305641884 10078958462826 13438611283768 20157916925652 40315833851304