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31431327400 = 23521114286967
BaseRepresentation
bin11101010001011100…
…111111111010101000
310000010111120212110001
4131101130333322220
51003332404434100
622234522232344
72161616606014
oct352134777250
9100114525401
1031431327400
111236a18a540
1261123556b4
132c6ba91aa5
141742593544
15c3e60ad6a
hex75173fea8

31431327400 has 48 divisors (see below), whose sum is σ = 79721281440. Its totient is φ = 11429572800.

The previous prime is 31431327377. The next prime is 31431327401. The reversal of 31431327400 is 472313413.

It is not an unprimeable number, because it can be changed into a prime (31431327401) 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, 7141284 + ... + 7145683.

It is an arithmetic number, because the mean of its divisors is an integer number (1660860030).

Almost surely, 231431327400 is an apocalyptic number.

It is an amenable number.

31431327400 is an abundant number, since it is smaller than the sum of its proper divisors (48289954040).

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

31431327400 is a wasteful number, since it uses less digits than its factorization.

31431327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14286994 (or 14286985 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 31431327400 in words is "thirty-one billion, four hundred thirty-one million, three hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 14286967 28573934 57147868 71434835 114295736 142869670 157156637 285739340 314313274 357174175 571478680 628626548 714348350 785783185 1257253096 1428696700 1571566370 2857393400 3143132740 3928915925 6286265480 7857831850 15715663700 31431327400