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13114133223440 = 245163926665293
BaseRepresentation
bin1011111011010101111101…
…0000001001100000010000
31201102200212111022000022012
42332311133100021200100
53204330221101122230
643520314415402052
72522315306113064
oct276653720114020
951380774260265
1013114133223440
1141a6744357847
121579734823328
13741871580762
14334a2811baa4
1517b1de56d395
hexbed5f409810

13114133223440 has 20 divisors (see below), whose sum is σ = 30490359744684. Its totient is φ = 5245653289344.

The previous prime is 13114133223419. The next prime is 13114133223461. The reversal of 13114133223440 is 4432233141131.

It is an interprime number because it is at equal distance from previous prime (13114133223419) and next prime (13114133223461).

It can be written as a sum of positive squares in 2 ways, for example, as 8771477342224 + 4342655881216 = 2961668^2 + 2083904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13114133223397 and 13114133223406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81963332567 + ... + 81963332726.

Almost surely, 213114133223440 is an apocalyptic number.

13114133223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114133223440 is an abundant number, since it is smaller than the sum of its proper divisors (17376226521244).

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

13114133223440 is a wasteful number, since it uses less digits than its factorization.

13114133223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163926665306 (or 163926665300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13114133223440 its reverse (4432233141131), we get a palindrome (17546366364571).

The spelling of 13114133223440 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163926665293 327853330586 655706661172 819633326465 1311413322344 1639266652930 2622826644688 3278533305860 6557066611720 13114133223440