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149062230720 = 263351379107157
BaseRepresentation
bin1000101011010011001…
…1010010001011000000
3112020202101212220021000
42022310303102023000
54420234412340340
6152251144532000
713524621025014
oct2126463221300
9466671786230
10149062230720
115824281a217
1224a80781000
13110971c06b0
147301002544
153d265e1d30
hex22b4cd22c0

149062230720 has 896 divisors, whose sum is σ = 582524006400. Its totient is φ = 35660611584.

The previous prime is 149062230701. The next prime is 149062230727. The reversal of 149062230720 is 27032260941.

149062230720 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 622 + 3 + 0 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149062230727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 949440882 + ... + 949441038.

It is an arithmetic number, because the mean of its divisors is an integer number (650138400).

Almost surely, 2149062230720 is an apocalyptic number.

149062230720 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 149062230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291262003200).

149062230720 is an abundant number, since it is smaller than the sum of its proper divisors (433461775680).

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

149062230720 is a wasteful number, since it uses less digits than its factorization.

149062230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 149062230720 in words is "one hundred forty-nine billion, sixty-two million, two hundred thirty thousand, seven hundred twenty".