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149423630400 = 2632521119131379
BaseRepresentation
bin1000101100101001010…
…1111010100001000000
3112021200120220220102100
42023022111322201000
54422004422133100
6152351054550400
713536566621262
oct2131225724100
9467616826370
10149423630400
1158408820140
1224b61808400
1311124038565
147336dd9b32
153d481cd400
hex22ca57a840

149423630400 has 1008 divisors, whose sum is σ = 616137350400. Its totient is φ = 33965568000.

The previous prime is 149423630387. The next prime is 149423630437. The reversal of 149423630400 is 4036324941.

It is a happy number.

149423630400 is a `hidden beast` number, since 14 + 9 + 4 + 2 + 3 + 630 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394257411 + ... + 394257789.

Almost surely, 2149423630400 is an apocalyptic number.

149423630400 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 149423630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308068675200).

149423630400 is an abundant number, since it is smaller than the sum of its proper divisors (466713720000).

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

149423630400 is a wasteful number, since it uses less digits than its factorization.

149423630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 149423630400 in words is "one hundred forty-nine billion, four hundred twenty-three million, six hundred thirty thousand, four hundred".