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1051675714440 = 23325131713218649
BaseRepresentation
bin11110100110111001100…
…00011110001110001000
310201112120002101201011200
433103130300132032020
5114212312440330230
62123044432224200
7135660335035431
oct17233460361610
93645502351150
101051675714440
1137601658400a
1214b9a409b060
1378232260b70
1438c8953a488
151c5532b4160
hexf4dcc1e388

1051675714440 has 192 divisors, whose sum is σ = 3897386766000. Its totient is φ = 243646119936.

The previous prime is 1051675714367. The next prime is 1051675714487. The reversal of 1051675714440 is 444175761501.

1051675714440 is a `hidden beast` number, since 1 + 0 + 516 + 7 + 57 + 1 + 44 + 40 = 666.

1051675714440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 758121972804 + 293553741636 = 870702^2 + 541806^2 .

It is a super-2 number, since 2×10516757144402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6529765 + ... + 6688884.

Almost surely, 21051675714440 is an apocalyptic number.

1051675714440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051675714440 is an abundant number, since it is smaller than the sum of its proper divisors (2845711051560).

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

1051675714440 is a wasteful number, since it uses less digits than its factorization.

1051675714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218696 (or 13218689 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1051675714440 in words is "one trillion, fifty-one billion, six hundred seventy-five million, seven hundred fourteen thousand, four hundred forty".