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149406992640 = 283357160889
BaseRepresentation
bin1000101100100101011…
…0011100100100000000
3112021122102121121201000
42023021112130210000
54421441142231030
6152345302212000
713536305324553
oct2131126344400
9467572547630
10149406992640
11583aa396a24
1224b58124000
1311120761629
147334b0869a
153d469e3860
hex22c959c900

149406992640 has 288 divisors, whose sum is σ = 537663571200. Its totient is φ = 39280066560.

The previous prime is 149406992587. The next prime is 149406992677. The reversal of 149406992640 is 46299604941.

It is a happy number.

149406992640 is a `hidden beast` number, since 1 + 494 + 0 + 6 + 9 + 92 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2423316 + ... + 2484204.

It is an arithmetic number, because the mean of its divisors is an integer number (1866887400).

Almost surely, 2149406992640 is an apocalyptic number.

149406992640 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 149406992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268831785600).

149406992640 is an abundant number, since it is smaller than the sum of its proper divisors (388256578560).

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

149406992640 is an equidigital number, since it uses as much as digits as its factorization.

149406992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60990 (or 60970 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 149406992640 in words is "one hundred forty-nine billion, four hundred six million, nine hundred ninety-two thousand, six hundred forty".