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150086999040 = 21035112930631
BaseRepresentation
bin1000101111000111100…
…0011101110000000000
3112100101211011112010020
42023301320131300000
54424334232432130
6152540553133440
713562203304526
oct2136170356000
9470354145106
10150086999040
115871921a890
12251079ba280
13111cb5c0494
14739b15a316
153d86566e10
hex22f1e1dc00

150086999040 has 352 divisors, whose sum is σ = 541760002560. Its totient is φ = 35128934400.

The previous prime is 150086999039. The next prime is 150086999047. The reversal of 150086999040 is 40999680051.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1500869990402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150086999047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4884525 + ... + 4915155.

Almost surely, 2150086999040 is an apocalyptic number.

150086999040 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 150086999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270880001280).

150086999040 is an abundant number, since it is smaller than the sum of its proper divisors (391673003520).

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

150086999040 is a wasteful number, since it uses less digits than its factorization.

150086999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30699 (or 30681 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 150086999040 in words is "one hundred fifty billion, eighty-six million, nine hundred ninety-nine thousand, forty".