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31005025440 = 2535531637477
BaseRepresentation
bin11100111000000010…
…110010010010100000
32222000210102111002120
4130320002302102200
51001444241303230
622124333144240
72145222240114
oct347002622240
988023374076
1031005025440
111217058a574
12601362b080
132c016717cc
141701b03744
15c16e9e310
hex7380b24a0

31005025440 has 192 divisors, whose sum is σ = 100132454016. Its totient is φ = 8061161472.

The previous prime is 31005025439. The next prime is 31005025463. The reversal of 31005025440 is 4452050013.

It is a super-2 number, since 2×310050254402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31005025440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4142982 + ... + 4150458.

It is an arithmetic number, because the mean of its divisors is an integer number (521523198).

Almost surely, 231005025440 is an apocalyptic number.

31005025440 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 31005025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50066227008).

31005025440 is an abundant number, since it is smaller than the sum of its proper divisors (69127428576).

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

31005025440 is a wasteful number, since it uses less digits than its factorization.

31005025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 31005025440 its reverse (4452050013), we get a palindrome (35457075453).

The spelling of 31005025440 in words is "thirty-one billion, five million, twenty-five thousand, four hundred forty".