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149469433344 = 293271131107127
BaseRepresentation
bin1000101100110100010…
…0101000111000000000
3112021210210002221020200
42023031010220320000
54422103133331334
6152355412405200
713540664135460
oct2131504507000
9467723087220
10149469433344
1158431664610
1224b75016800
13111306844aa
14733d11dba0
153d4c229799
hex22cd128e00

149469433344 has 960 divisors, whose sum is σ = 564772995072. Its totient is φ = 36926668800.

The previous prime is 149469433327. The next prime is 149469433357. The reversal of 149469433344 is 443334964941.

149469433344 is a `hidden beast` number, since 1 + 494 + 6 + 94 + 33 + 34 + 4 = 666.

It is a super-2 number, since 2×1494694333442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13436928) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1176924609 + ... + 1176924735.

Almost surely, 2149469433344 is an apocalyptic number.

149469433344 is a gapful number since it is divisible by the number (14) 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 149469433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282386497536).

149469433344 is an abundant number, since it is smaller than the sum of its proper divisors (415303561728).

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

149469433344 is a wasteful number, since it uses less digits than its factorization.

149469433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 149469433344 in words is "one hundred forty-nine billion, four hundred sixty-nine million, four hundred thirty-three thousand, three hundred forty-four".