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8007134144 = 26125111471
BaseRepresentation
bin1110111010100001…
…10010101111000000
3202200000211120002212
413131100302233000
5112344311243034
63402312401252
7402265342262
oct73520625700
922600746085
108007134144
113439900439
1216756a6228
139a7b703c9
1455d603b32
1531ce592ce
hex1dd432bc0

8007134144 has 14 divisors (see below), whose sum is σ = 15889156944. Its totient is φ = 4003567040.

The previous prime is 8007134131. The next prime is 8007134171. The reversal of 8007134144 is 4414317008.

It is a super-2 number, since 2×80071341442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8007134144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62555672 + ... + 62555799.

Almost surely, 28007134144 is an apocalyptic number.

It is an amenable number.

8007134144 is a deficient number, since it is larger than the sum of its proper divisors (7882022800).

8007134144 is a wasteful number, since it uses less digits than its factorization.

8007134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125111483 (or 125111473 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 8007134144 is about 89482.5912901498. The cubic root of 8007134144 is about 2000.5943353652.

The spelling of 8007134144 in words is "eight billion, seven million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 125111471 250222942 500445884 1000891768 2001783536 4003567072 8007134144