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31314050554400 = 2552127308209159
BaseRepresentation
bin1110001111010110111101…
…10111000001101000100000
311002212121001000122022212222
413013223132313001220200
513101022133420220100
6150333250511010212
76411236235663215
oct707533667015040
9132777030568788
1031314050554400
119a8323a200779
123618a58209968
131461b964660b3
147a3872a0bb0c
1539483c4bb485
hex1c7adedc1a20

31314050554400 has 72 divisors (see below), whose sum is σ = 77047358653440. Its totient is φ = 12426993250560.

The previous prime is 31314050554363. The next prime is 31314050554417. The reversal of 31314050554400 is 445505041313.

It is a super-3 number, since 3×313140505544003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154002980 + ... + 154206179.

It is an arithmetic number, because the mean of its divisors is an integer number (1070102203520).

Almost surely, 231314050554400 is an apocalyptic number.

It is an amenable number.

31314050554400 is an abundant number, since it is smaller than the sum of its proper divisors (45733308099040).

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

31314050554400 is a wasteful number, since it uses less digits than its factorization.

31314050554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308209306 (or 308209293 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 31314050554400 its reverse (445505041313), we get a palindrome (31759555595713).

The spelling of 31314050554400 in words is "thirty-one trillion, three hundred fourteen billion, fifty million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 127 160 200 254 400 508 635 800 1016 1270 2032 2540 3175 4064 5080 6350 10160 12700 20320 25400 50800 101600 308209159 616418318 1232836636 1541045795 2465673272 3082091590 4931346544 6164183180 7705228975 9862693088 12328366360 15410457950 24656732720 30820915900 39142563193 49313465440 61641831800 78285126386 123283663600 156570252772 195712815965 246567327200 313140505544 391425631930 626281011088 782851263860 978564079825 1252562022176 1565702527720 1957128159650 3131405055440 3914256319300 6262810110880 7828512638600 15657025277200 31314050554400