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155950401838140 = 2238571313060057
BaseRepresentation
bin100011011101011000001000…
…010011011101110000111100
3202110011201020122022200000000
4203131120020103131300330
5130420042410332310030
61311402343042234300
744564021223640560
oct4335301023356074
9673151218280000
10155950401838140
11457662152455a8
12155a8296055990
1369030a1492130
142a7207addb6a0
151306963e4a860
hex8dd6084ddc3c

155950401838140 has 432 divisors, whose sum is σ = 604577040779712. Its totient is φ = 32903818527744.

The previous prime is 155950401838139. The next prime is 155950401838163. The reversal of 155950401838140 is 41838104059551.

155950401838140 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 504 + 0 + 18 + 3 + 81 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5410992 + ... + 18471048.

Almost surely, 2155950401838140 is an apocalyptic number.

155950401838140 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 155950401838140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302288520389856).

155950401838140 is an abundant number, since it is smaller than the sum of its proper divisors (448626638941572).

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

155950401838140 is a wasteful number, since it uses less digits than its factorization.

155950401838140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13060110 (or 13060087 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 155950401838140 in words is "one hundred fifty-five trillion, nine hundred fifty billion, four hundred one million, eight hundred thirty-eight thousand, one hundred forty".