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400413316257708 = 2231320632221560191
BaseRepresentation
bin101101100001011000111110…
…1011110101001011110101100
31221111202010202110201110121120
41123002301331132221132230
5404440332432430221313
63535335201004500540
7150224623152102165
oct13302617536513654
91844663673643546
10400413316257708
11106647374301556
1238aaa94954a750
1314256a7692b810
1470c417217c76c
153145a08ae9d23
hex16c2c7d7a97ac

400413316257708 has 96 divisors (see below), whose sum is σ = 1007109556518912. Its totient is φ = 123088711276800.

The previous prime is 400413316257671. The next prime is 400413316257709. The reversal of 400413316257708 is 807752613314004.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (400413316257709) 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, 714499893 + ... + 715060083.

It is an arithmetic number, because the mean of its divisors is an integer number (10490724547072).

Almost surely, 2400413316257708 is an apocalyptic number.

It is an amenable number.

400413316257708 is an abundant number, since it is smaller than the sum of its proper divisors (606696240261204).

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

400413316257708 is a wasteful number, since it uses less digits than its factorization.

400413316257708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564495 (or 564493 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 400413316257708 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, two hundred fifty-seven thousand, seven hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2063 2221 4126 4442 6189 6663 8252 8884 12378 13326 24756 26652 26819 28873 53638 57746 80457 86619 107276 115492 160914 173238 321828 346476 560191 1120382 1680573 2240764 3361146 4581923 6722292 7282483 9163846 13745769 14564966 18327692 21847449 27491538 29129932 43694898 54983076 59564999 87389796 119129998 178694997 238259996 357389994 714779988 1155674033 1244184211 2311348066 2488368422 3467022099 3732552633 4622696132 4976736844 6934044198 7465105266 13868088396 14930210532 15023762429 16174394743 30047524858 32348789486 45071287287 48523184229 60095049716 64697578972 90142574574 97046368458 180285149148 194092736916 2566752027293 5133504054586 7700256081879 10267008109172 15400512163758 30801024327516 33367776354809 66735552709618 100103329064427 133471105419236 200206658128854 400413316257708