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149940666720 = 253251325931039
BaseRepresentation
bin1000101110100100101…
…0010000000101100000
3112100000121211001220200
42023221022100011200
54424034302313340
6152514244505200
713555445431635
oct2135112200540
9470017731820
10149940666720
1158653663189
12250869ab200
13111a71a6b00
14738594818c
153d787ae330
hex22e9290160

149940666720 has 432 divisors, whose sum is σ = 555528093120. Its totient is φ = 36810768384.

The previous prime is 149940666679. The next prime is 149940666721. The reversal of 149940666720 is 27666049941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149940666721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144311961 + ... + 144312999.

It is an arithmetic number, because the mean of its divisors is an integer number (1285944660).

Almost surely, 2149940666720 is an apocalyptic number.

149940666720 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 149940666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277764046560).

149940666720 is an abundant number, since it is smaller than the sum of its proper divisors (405587426400).

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

149940666720 is a wasteful number, since it uses less digits than its factorization.

149940666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 149940666720 in words is "one hundred forty-nine billion, nine hundred forty million, six hundred sixty-six thousand, seven hundred twenty".