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13114134424400 = 2452153732132657
BaseRepresentation
bin1011111011010101111101…
…0100101110101101010000
31201102200212120120000201012
42332311133110232231100
53204330221403040100
643520314501230052
72522315322244322
oct276653724565520
951380776500635
1013114134424400
1141a6744aa8079
121579735102328
137418718b1299
14334a28351612
1517b1de709135
hexbed5f52eb50

13114134424400 has 60 divisors (see below), whose sum is σ = 31508772212412. Its totient is φ = 5245310085120.

The previous prime is 13114134424387. The next prime is 13114134424441. The reversal of 13114134424400 is 442443141131.

It can be written as a sum of positive squares in 6 ways, for example, as 7382936728336 + 5731197696064 = 2717156^2 + 2393992^2 .

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, 5082872 + ... + 7215528.

Almost surely, 213114134424400 is an apocalyptic number.

13114134424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114134424400 is an abundant number, since it is smaller than the sum of its proper divisors (18394637788012).

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

13114134424400 is a wasteful number, since it uses less digits than its factorization.

13114134424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148048 (or 2148037 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13114134424400 its reverse (442443141131), we get a palindrome (13556577565531).

The spelling of 13114134424400 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 15373 30746 61492 76865 122984 153730 245968 307460 384325 614920 768650 1229840 1537300 2132657 3074600 4265314 6149200 8530628 10663285 17061256 21326570 34122512 42653140 53316425 85306280 106632850 170612560 213265700 426531400 853062800 32785336061 65570672122 131141344244 163926680305 262282688488 327853360610 524565376976 655706721220 819633401525 1311413442440 1639266803050 2622826884880 3278533606100 6557067212200 13114134424400