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13114052400 = 2435210928377
BaseRepresentation
bin11000011011010100…
…01000111100110000
31020211221101212221110
430031222020330300
5203324144134100
610005143353320
7642656414631
oct141552107460
936757355843
1013114052400
11561a5a4739
12265ba52840
13130cbc5727
148c5977888
1551b480250
hex30da88f30

13114052400 has 60 divisors (see below), whose sum is σ = 42008685032. Its totient is φ = 3497080320.

The previous prime is 13114052353. The next prime is 13114052401. The reversal of 13114052400 is 425041131.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (13114052401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5462989 + ... + 5465388.

Almost surely, 213114052400 is an apocalyptic number.

13114052400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114052400 is an abundant number, since it is smaller than the sum of its proper divisors (28894632632).

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

13114052400 is a wasteful number, since it uses less digits than its factorization.

13114052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928398 (or 10928387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13114052400 its reverse (425041131), we get a palindrome (13539093531).

The spelling of 13114052400 in words is "thirteen billion, one hundred fourteen million, fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10928377 21856754 32785131 43713508 54641885 65570262 87427016 109283770 131140524 163925655 174854032 218567540 262281048 273209425 327851310 437135080 524562096 546418850 655702620 819628275 874270160 1092837700 1311405240 1639256550 2185675400 2622810480 3278513100 4371350800 6557026200 13114052400