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1051368440616 = 23321310910305109
BaseRepresentation
bin11110100110010100111…
…00010100001100101000
310201111202200012120201200
433103022130110030220
5114211200310044431
62122554134244200
7135646614202404
oct17231234241450
93644680176650
101051368440616
113759790916aa
1214b9191b6660
13781b36b7330
1438c5a7d2104
151c536319ee6
hexf4ca714328

1051368440616 has 96 divisors (see below), whose sum is σ = 3094624533000. Its totient is φ = 320530079232.

The previous prime is 1051368440599. The next prime is 1051368440623. The reversal of 1051368440616 is 6160448631501.

1051368440616 is a `hidden beast` number, since 1 + 0 + 513 + 6 + 84 + 40 + 6 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 541186807716 + 510181632900 = 735654^2 + 714270^2 .

It is a super-2 number, since 2×10513684406162 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5050531 + ... + 5254578.

Almost surely, 21051368440616 is an apocalyptic number.

It is an amenable number.

1051368440616 is an abundant number, since it is smaller than the sum of its proper divisors (2043256092384).

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

1051368440616 is a wasteful number, since it uses less digits than its factorization.

1051368440616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305243 (or 10305236 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1051368440616 in words is "one trillion, fifty-one billion, three hundred sixty-eight million, four hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 436 468 654 872 936 981 1308 1417 1962 2616 2834 3924 4251 5668 7848 8502 11336 12753 17004 25506 34008 51012 102024 10305109 20610218 30915327 41220436 61830654 82440872 92745981 123661308 133966417 185491962 247322616 267932834 370983924 401899251 535865668 741967848 803798502 1071731336 1123256881 1205697753 1607597004 2246513762 2411395506 3215194008 3369770643 4493027524 4822791012 6739541286 8986055048 9645582024 10109311929 13479082572 14602339453 20218623858 26958165144 29204678906 40437247716 43807018359 58409357812 80874495432 87614036718 116818715624 131421055077 175228073436 262842110154 350456146872 525684220308 1051368440616