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149244376320 = 28325131731261
BaseRepresentation
bin1000101011111110101…
…0000111010100000000
3112021020002121212001100
42022333222013110000
54421123030020240
6152321212534400
713532262160524
oct2127752072400
9467202555040
10149244376320
1158326617976
1224b11781400
13110c5b66060
14731b297d84
153d375c0e30
hex22bfa87500

149244376320 has 1296 divisors, whose sum is σ = 618382202256. Its totient is φ = 32912179200.

The previous prime is 149244376319. The next prime is 149244376327. The reversal of 149244376320 is 23673442941.

149244376320 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 4 + 4 + 3 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24878121984 + 124366254336 = 157728^2 + 352656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149244376327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2446629090 + ... + 2446629150.

It is an arithmetic number, because the mean of its divisors is an integer number (477146761).

Almost surely, 2149244376320 is an apocalyptic number.

149244376320 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 149244376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309191101128).

149244376320 is an abundant number, since it is smaller than the sum of its proper divisors (469137825936).

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

149244376320 is a wasteful number, since it uses less digits than its factorization.

149244376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 149244376320 in words is "one hundred forty-nine billion, two hundred forty-four million, three hundred seventy-six thousand, three hundred twenty".