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13134400123014 = 2321785259503441
BaseRepresentation
bin1011111100100001011101…
…0000001111000010000110
31201111122011221001011221100
42333020113100033002012
53210143222412414024
643533505441400530
72523633451655622
oct277102720170206
951448157034840
1013134400123014
1142042a4502425
121581650039146
13743751336c21
143359cba3c182
1517b9c895a7c9
hexbf21740f086

13134400123014 has 48 divisors (see below), whose sum is σ = 30132272373840. Its totient is φ = 4120539601920.

The previous prime is 13134400122947. The next prime is 13134400123027. The reversal of 13134400123014 is 41032100443131.

13134400123014 is a `hidden beast` number, since 1 + 3 + 1 + 344 + 0 + 0 + 12 + 301 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25837534 + ... + 26340974.

It is an arithmetic number, because the mean of its divisors is an integer number (627755674455).

Almost surely, 213134400123014 is an apocalyptic number.

13134400123014 is an abundant number, since it is smaller than the sum of its proper divisors (16997872250826).

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

13134400123014 is a wasteful number, since it uses less digits than its factorization.

13134400123014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588725 (or 588722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13134400123014 its reverse (41032100443131), we get a palindrome (54166500566145).

The spelling of 13134400123014 in words is "thirteen trillion, one hundred thirty-four billion, four hundred million, one hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 85259 170518 255777 503441 511554 767331 1006882 1449403 1510323 1534662 2898806 3020646 4348209 4530969 8558497 8696418 9061938 13044627 17116994 25675491 26089254 51350982 77026473 154052946 42922876219 85845752438 128768628657 257537257314 386305885971 729688895723 772611771942 1459377791446 2189066687169 4378133374338 6567200061507 13134400123014