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150444113952 = 25311142466017
BaseRepresentation
bin1000110000011100101…
…0110000000000100000
3112101022201010211200110
42030013022300000200
54431102143121302
6153040231251320
713604100604056
oct2140712600040
9471281124613
10150444113952
1158891864580
12251a7519b40
1311257597c92
1473d275a1d6
153da7aa8b6c
hex23072b0020

150444113952 has 48 divisors (see below), whose sum is σ = 430817238432. Its totient is φ = 45589125120.

The previous prime is 150444113947. The next prime is 150444113957. The reversal of 150444113952 is 259311444051.

It is an interprime number because it is at equal distance from previous prime (150444113947) and next prime (150444113957).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1504441139522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150444113952.

It is not an unprimeable number, because it can be changed into a prime (150444113957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71231953 + ... + 71234064.

It is an arithmetic number, because the mean of its divisors is an integer number (8975359134).

Almost surely, 2150444113952 is an apocalyptic number.

150444113952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150444113952 is an abundant number, since it is smaller than the sum of its proper divisors (280373124480).

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

150444113952 is a wasteful number, since it uses less digits than its factorization.

150444113952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142466041 (or 142466033 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 150444113952 in words is "one hundred fifty billion, four hundred forty-four million, one hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 142466017 284932034 427398051 569864068 854796102 1139728136 1567126187 1709592204 2279456272 3134252374 3419184408 4558912544 4701378561 6268504748 6838368816 9402757122 12537009496 13676737632 18805514244 25074018992 37611028488 50148037984 75222056976 150444113952