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151057300440 = 23351258810837
BaseRepresentation
bin1000110010101110110…
…1110111101111011000
3112102220102221221102010
42030223231313233120
54433331132103230
6153221134105520
713625224603554
oct2145355675730
9472812857363
10151057300440
11590769a9672
122533894b2a0
131132462c917
14744dd76864
153de182d9b0
hex232bb77bd8

151057300440 has 32 divisors (see below), whose sum is σ = 453171901680. Its totient is φ = 40281946752.

The previous prime is 151057300439. The next prime is 151057300447. The reversal of 151057300440 is 44003750151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151057300398 and 151057300407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151057300447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629405299 + ... + 629405538.

Almost surely, 2151057300440 is an apocalyptic number.

151057300440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151057300440 is an abundant number, since it is smaller than the sum of its proper divisors (302114601240).

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

151057300440 is a wasteful number, since it uses less digits than its factorization.

151057300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258810851 (or 1258810847 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 151057300440 in words is "one hundred fifty-one billion, fifty-seven million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1258810837 2517621674 3776432511 5035243348 6294054185 7552865022 10070486696 12588108370 15105730044 18882162555 25176216740 30211460088 37764325110 50352433480 75528650220 151057300440