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144612230112 = 2532771732257
BaseRepresentation
bin1000011010101110001…
…1111000001111100000
3111211021021102110000200
42012223203320033200
54332131212330422
6150233421545200
713306424450220
oct2065343701740
9454237373020
10144612230112
1156369919969
122403a415200
13108382a1c3c
146ddbdd0080
153b65acd2ac
hex21ab8f83e0

144612230112 has 72 divisors (see below), whose sum is σ = 469989754416. Its totient is φ = 41317779456.

The previous prime is 144612230089. The next prime is 144612230123. The reversal of 144612230112 is 211032216441.

144612230112 is a `hidden beast` number, since 1 + 4 + 4 + 612 + 2 + 30 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35864113 + ... + 35868144.

It is an arithmetic number, because the mean of its divisors is an integer number (6527635478).

Almost surely, 2144612230112 is an apocalyptic number.

144612230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144612230112 is an abundant number, since it is smaller than the sum of its proper divisors (325377524304).

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

144612230112 is a wasteful number, since it uses less digits than its factorization.

144612230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71732280 (or 71732269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 144612230112 its reverse (211032216441), we get a palindrome (355644446553).

The spelling of 144612230112 in words is "one hundred forty-four billion, six hundred twelve million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 71732257 143464514 215196771 286929028 430393542 502125799 573858056 645590313 860787084 1004251598 1147716112 1291180626 1506377397 1721574168 2008503196 2295432224 2582361252 3012754794 3443148336 4017006392 4519132191 5164722504 6025509588 6886296672 8034012784 9038264382 10329445008 12051019176 16068025568 18076528764 20658890016 24102038352 36153057528 48204076704 72306115056 144612230112