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31402414548 = 22325571566049
BaseRepresentation
bin11101001111101110…
…101101000111010100
310000001111011221110200
4131033232231013110
51003303004231143
622232010420500
72161116056001
oct351756550724
9100044157420
1031402414548
111235493191a
126104731730
132c65aaa8ab
14173c7c88a8
15c3bce91d3
hex74fbad1d4

31402414548 has 36 divisors (see below), whose sum is σ = 79520886900. Its totient is φ = 10448672256.

The previous prime is 31402414529. The next prime is 31402414577. The reversal of 31402414548 is 84541420413.

31402414548 is a `hidden beast` number, since 31 + 40 + 2 + 41 + 4 + 548 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2940025284 + 28462389264 = 54222^2 + 168708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×314024145482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 762973 + ... + 803076.

It is an arithmetic number, because the mean of its divisors is an integer number (2208913525).

Almost surely, 231402414548 is an apocalyptic number.

It is an amenable number.

31402414548 is an abundant number, since it is smaller than the sum of its proper divisors (48118472352).

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

31402414548 is a wasteful number, since it uses less digits than its factorization.

31402414548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566616 (or 1566611 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 31402414548 in words is "thirty-one billion, four hundred two million, four hundred fourteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 1566049 3132098 4698147 6264196 9396294 14094441 18792588 28188882 56377764 872289293 1744578586 2616867879 3489157172 5233735758 7850603637 10467471516 15701207274 31402414548