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141503364 = 223210936061
BaseRepresentation
bin10000110111100…
…10101110000100
3100212021010010100
420123302232010
5242211101424
622012524100
73335521152
oct1033625604
9325233110
10141503364
1172969632
123b480630
1323415702
1414b163d2
15c651dc9
hex86f2b84

141503364 has 36 divisors (see below), whose sum is σ = 360980620. Its totient is φ = 46733760.

The previous prime is 141503339. The next prime is 141503377. The reversal of 141503364 is 463305141.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 74132100 = 8208^2 + 8610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1415033643 (a number of 25 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 14107 + ... + 21954.

Almost surely, 2141503364 is an apocalyptic number.

It is an amenable number.

141503364 is an abundant number, since it is smaller than the sum of its proper divisors (219477256).

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

141503364 is a wasteful number, since it uses less digits than its factorization.

141503364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36180 (or 36175 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 141503364 is about 11895.5186519966. The cubic root of 141503364 is about 521.1014178926.

The spelling of 141503364 in words is "one hundred forty-one million, five hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 36061 72122 108183 144244 216366 324549 432732 649098 1298196 3930649 7861298 11791947 15722596 23583894 35375841 47167788 70751682 141503364