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149931924480 = 21033513194391
BaseRepresentation
bin1000101110100010100…
…0111001110000000000
3112100000000100220211000
42023220220321300000
54424030033040410
6152513333252000
713555311221232
oct2135050716000
9470000326730
10149931924480
1158649731a98
1225083a94000
13111a54358a0
147384710252
153d77b33dc0
hex22e8a39c00

149931924480 has 704 divisors, whose sum is σ = 604156492800. Its totient is φ = 34955919360.

The previous prime is 149931924449. The next prime is 149931924491. The reversal of 149931924480 is 84429139941.

149931924480 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 3 + 192 + 448 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34143085 + ... + 34147475.

Almost surely, 2149931924480 is an apocalyptic number.

149931924480 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 149931924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302078246400).

149931924480 is an abundant number, since it is smaller than the sum of its proper divisors (454224568320).

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

149931924480 is a wasteful number, since it uses less digits than its factorization.

149931924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 149931924480 in words is "one hundred forty-nine billion, nine hundred thirty-one million, nine hundred twenty-four thousand, four hundred eighty".