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13144070142 = 2327293597173
BaseRepresentation
bin11000011110111001…
…01001011111111110
31020221000212221112200
430033130221133332
5203404340221032
610012135012330
7643502516130
oct141734513776
936830787480
1013144070142
115635537495
122669b0a0a6
1313161a57c8
148c994d050
1551de0e47c
hex30f7297fe

13144070142 has 48 divisors (see below), whose sum is σ = 33669548640. Its totient is φ = 3625949376.

The previous prime is 13144070141. The next prime is 13144070189. The reversal of 13144070142 is 24107044131.

13144070142 is a `hidden beast` number, since 13 + 1 + 440 + 70 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144070141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794933 + ... + 1802240.

It is an arithmetic number, because the mean of its divisors is an integer number (701448930).

Almost surely, 213144070142 is an apocalyptic number.

13144070142 is an abundant number, since it is smaller than the sum of its proper divisors (20525478498).

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

13144070142 is a wasteful number, since it uses less digits than its factorization.

13144070142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597217 (or 3597214 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 13144070142 in words is "thirteen billion, one hundred forty-four million, seventy thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 3597173 7194346 10791519 21583038 25180211 32374557 50360422 64749114 75540633 104318017 151081266 208636034 226621899 312954051 453243798 625908102 730226119 938862153 1460452238 1877724306 2190678357 4381356714 6572035071 13144070142