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31034184480 = 25345131671103
BaseRepresentation
bin11100111001110010…
…000001001100100000
32222002211021220210000
4130321302001030200
51002024222400410
622131254140000
72146025133645
oct347162011440
988084256700
1031034184480
1112185a96152
126021351600
132c07710a90
141705933dcc
15c1980ddc0
hex739c81320

31034184480 has 480 divisors, whose sum is σ = 118763656704. Its totient is φ = 7586555904.

The previous prime is 31034184479. The next prime is 31034184521. The reversal of 31034184480 is 8448143013.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28135609 + ... + 28136711.

Almost surely, 231034184480 is an apocalyptic number.

31034184480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31034184480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59381828352).

31034184480 is an abundant number, since it is smaller than the sum of its proper divisors (87729472224).

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

31034184480 is a wasteful number, since it uses less digits than its factorization.

31034184480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31034184480 in words is "thirty-one billion, thirty-four million, one hundred eighty-four thousand, four hundred eighty".