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252214736144 = 2472251917287
BaseRepresentation
bin1110101011100100101…
…0110111010100010000
3220010000021112002221212
43222321022313110100
513113013433024034
6311511005035252
724136054612310
oct3527112672420
9803007462855
10252214736144
1197a667092a8
1240a6a255b28
131aa25b7ca57
14c2c8a07440
1568624972ce
hex3ab92b7510

252214736144 has 20 divisors (see below), whose sum is σ = 558475487424. Its totient is φ = 108092029728.

The previous prime is 252214736141. The next prime is 252214736153. The reversal of 252214736144 is 441637412252.

252214736144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2522147361442 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252214736141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1125958532 + ... + 1125958755.

Almost surely, 2252214736144 is an apocalyptic number.

It is an amenable number.

252214736144 is an abundant number, since it is smaller than the sum of its proper divisors (306260751280).

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

252214736144 is a wasteful number, since it uses less digits than its factorization.

252214736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251917302 (or 2251917296 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The spelling of 252214736144 in words is "two hundred fifty-two billion, two hundred fourteen million, seven hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2251917287 4503834574 9007669148 15763421009 18015338296 31526842018 36030676592 63053684036 126107368072 252214736144