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141264516 = 22341247149
BaseRepresentation
bin10000110101110…
…00011010000100
3100211210222111010
420122320122010
5242130431031
622003442220
73333504621
oct1032703204
9324728433
10141264516
1172816138
123b386370
1323360a93
1414a93348
15c606246
hex86b8684

141264516 has 72 divisors (see below), whose sum is σ = 347356800. Its totient is φ = 44660480.

The previous prime is 141264499. The next prime is 141264521. The reversal of 141264516 is 615462141.

It is a super-5 number, since 5×1412645165 (a number of 42 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 948010 + ... + 948158.

It is an arithmetic number, because the mean of its divisors is an integer number (4824400).

Almost surely, 2141264516 is an apocalyptic number.

It is an amenable number.

141264516 is an abundant number, since it is smaller than the sum of its proper divisors (206092284).

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

141264516 is a wasteful number, since it uses less digits than its factorization.

141264516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 242 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 141264516 is about 11885.4750010254. The cubic root of 141264516 is about 520.8080582565.

The spelling of 141264516 in words is "one hundred forty-one million, two hundred sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 149 164 188 246 282 298 447 492 564 596 894 1681 1788 1927 3362 3854 5043 5781 6109 6724 7003 7708 10086 11562 12218 14006 18327 20172 21009 23124 24436 28012 36654 42018 73308 79007 84036 158014 237021 250469 287123 316028 474042 500938 574246 751407 861369 948084 1001876 1148492 1502814 1722738 3005628 3445476 11772043 23544086 35316129 47088172 70632258 141264516