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152031433051044 = 22324223095362529
BaseRepresentation
bin100010100100010110010011…
…100011111100101110100100
3201221022001200222011002020100
4202210112103203330232210
5124411340333330113134
61255202135352304100
744010623431606611
oct4244262343745644
9657261628132210
10152031433051044
1144495194562588
12150748633a2030
1366aa66c346771
14297850978b508
151289a46c58999
hex8a45938fcba4

152031433051044 has 18 divisors (see below), whose sum is σ = 384301677990230. Its totient is φ = 50677144350336.

The previous prime is 152031433051037. The next prime is 152031433051051. The reversal of 152031433051044 is 440150334130251.

152031433051044 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 31 + 43 + 30 + 510 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (152031433051037) and next prime (152031433051051).

It can be written as a sum of positive squares in only one way, i.e., 151345650316644 + 685782734400 = 12302262^2 + 828120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1520314330510442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4223095362529 = 152031433051044 / (1 + 5 + 2 + 0 + 3 + 1 + 4 + 3 + 3 + 0 + 5 + 1 + 0 + 4 + 4).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2111547681229 + ... + 2111547681300.

Almost surely, 2152031433051044 is an apocalyptic number.

It is an amenable number.

152031433051044 is an abundant number, since it is smaller than the sum of its proper divisors (232270244939186).

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

152031433051044 is a wasteful number, since it uses less digits than its factorization.

152031433051044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223095362539 (or 4223095362534 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 152031433051044 its reverse (440150334130251), we get a palindrome (592181767181295).

The spelling of 152031433051044 in words is "one hundred fifty-two trillion, thirty-one billion, four hundred thirty-three million, fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4223095362529 8446190725058 12669286087587 16892381450116 25338572175174 38007858262761 50677144350348 76015716525522 152031433051044