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40152323016 = 23321342897781
BaseRepresentation
bin100101011001010000…
…111101001111001000
310211122021200100101200
4211121100331033020
51124212443314031
630240135344200
72621004054141
oct453120751710
9124567610350
1040152323016
1116034a37633
127946b22060
133a2b7b5920
141d2c8dcac8
1510a00748e6
hex95943d3c8

40152323016 has 48 divisors (see below), whose sum is σ = 117110944860. Its totient is φ = 12354560640.

The previous prime is 40152322999. The next prime is 40152323017. The reversal of 40152323016 is 61032325104.

40152323016 is a `hidden beast` number, since 401 + 5 + 23 + 230 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40148136900 + 4186116 = 200370^2 + 2046^2 .

It is a super-2 number, since 2×401523230162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40152323017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21447955 + ... + 21449826.

Almost surely, 240152323016 is an apocalyptic number.

It is an amenable number.

40152323016 is an abundant number, since it is smaller than the sum of its proper divisors (76958621844).

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

40152323016 is a wasteful number, since it uses less digits than its factorization.

40152323016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42897806 (or 42897799 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 40152323016 in words is "forty billion, one hundred fifty-two million, three hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 42897781 85795562 128693343 171591124 257386686 343182248 386080029 514773372 557671153 772160058 1029546744 1115342306 1544320116 1673013459 2230684612 3088640232 3346026918 4461369224 5019040377 6692053836 10038080754 13384107672 20076161508 40152323016