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144545025513132 = 223217236184682211
BaseRepresentation
bin100000110111011010000010…
…111001100101011010101100
3200221210100222100121000021100
4200313122002321211122230
5122421211203012410012
61231231022405203100
742306014323520256
oct4067320271453254
9627710870530240
10144545025513132
1142069223691792
1214265964700490
1362866ca92b95a
14279a033640cd6
1511a9e33da78dc
hex837682e656ac

144545025513132 has 36 divisors (see below), whose sum is σ = 386870509463256. Its totient is φ = 45347458984320.

The previous prime is 144545025513067. The next prime is 144545025513151. The reversal of 144545025513132 is 231315520545441.

144545025513132 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 502 + 5 + 5 + 1 + 3 + 132 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118092340494 + ... + 118092341717.

It is an arithmetic number, because the mean of its divisors is an integer number (10746403040646).

Almost surely, 2144545025513132 is an apocalyptic number.

144545025513132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144545025513132 is an abundant number, since it is smaller than the sum of its proper divisors (242325483950124).

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

144545025513132 is a wasteful number, since it uses less digits than its factorization.

144545025513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236184682238 (or 236184682233 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 144545025513132 in words is "one hundred forty-four trillion, five hundred forty-five billion, twenty-five million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 236184682211 472369364422 708554046633 944738728844 1417108093266 2125662139899 2834216186532 4015139597587 4251324279798 8030279195174 8502648559596 12045418792761 16060558390348 24090837585522 36136256378283 48181675171044 72272512756566 144545025513132