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42906151044 = 2232192232792
BaseRepresentation
bin100111111101011001…
…111110100010000100
311002202012111022021100
4213331121332202010
51200332433313134
631413311420100
73046153160241
oct477531764204
9132665438240
1042906151044
1117218449369
128395224630
13407a197c73
1421105445c8
1511b1bdd999
hex9fd67e884

42906151044 has 243 divisors, whose sum is σ = 121192931223. Its totient is φ = 12796157088.

The previous prime is 42906151033. The next prime is 42906151069. The reversal of 42906151044 is 44015160924.

The square root of 42906151044 is 207138.

It is a perfect power (a square), and thus also a powerful number.

42906151044 is a `hidden beast` number, since 4 + 29 + 0 + 615 + 10 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 543115797 + ... + 543115875.

Almost surely, 242906151044 is an apocalyptic number.

42906151044 is the 207138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42906151044

42906151044 is an abundant number, since it is smaller than the sum of its proper divisors (78286780179).

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

42906151044 is a wasteful number, since it uses less digits than its factorization.

42906151044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 42906151044 by its sum of digits (36), we get a square (1544621437584 = 12428282).

42906151044 divided by its sum of digits (36) gives a square (1191837529 = 345232).

The spelling of 42906151044 in words is "forty-two billion, nine hundred six million, one hundred fifty-one thousand, forty-four".