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155313491040 = 25335233783509
BaseRepresentation
bin1001000010100101100…
…1111100110001100000
3112211220001201211022000
42100221121330301200
510021040223203130
6155203335044000
714135545614531
oct2205131746140
9484801654260
10155313491040
115a960464664
1226126210600
13118523506b6
147735338688
15409030c260
hex242967cc60

155313491040 has 768 divisors, whose sum is σ = 590739609600. Its totient is φ = 38006267904.

The previous prime is 155313490991. The next prime is 155313491051. The reversal of 155313491040 is 40194313551.

155313491040 is a `hidden beast` number, since 1 + 5 + 531 + 34 + 91 + 0 + 4 + 0 = 666.

155313491040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 155313490986 and 155313491004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305134306 + ... + 305134814.

It is an arithmetic number, because the mean of its divisors is an integer number (769192200).

Almost surely, 2155313491040 is an apocalyptic number.

155313491040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155313491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295369804800).

155313491040 is an abundant number, since it is smaller than the sum of its proper divisors (435426118560).

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

155313491040 is a wasteful number, since it uses less digits than its factorization.

155313491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 155313491040 in words is "one hundred fifty-five billion, three hundred thirteen million, four hundred ninety-one thousand, forty".