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153114834640 = 2451913935433
BaseRepresentation
bin1000111010011001011…
…0101111011011010000
3112122012211120111201111
42032212112233123100
510002034344202030
6154201234143104
714030220422545
oct2164626573320
9478184514644
10153114834640
1159a32372559
1225811a21a94
131159199c791
1475a732abcc
153eb22a862a
hex23a65af6d0

153114834640 has 20 divisors (see below), whose sum is σ = 355991990724. Its totient is φ = 61245933824.

The previous prime is 153114834637. The next prime is 153114834667. The reversal of 153114834640 is 46438411351.

It can be written as a sum of positive squares in 2 ways, for example, as 121455038016 + 31659796624 = 348504^2 + 177932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 153114834593 and 153114834602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956967637 + ... + 956967796.

Almost surely, 2153114834640 is an apocalyptic number.

153114834640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153114834640 is an abundant number, since it is smaller than the sum of its proper divisors (202877156084).

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

153114834640 is a wasteful number, since it uses less digits than its factorization.

153114834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913935446 (or 1913935440 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 153114834640 in words is "one hundred fifty-three billion, one hundred fourteen million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1913935433 3827870866 7655741732 9569677165 15311483464 19139354330 30622966928 38278708660 76557417320 153114834640