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31140144420 = 223571161910889
BaseRepresentation
bin11101000000000110…
…001110010100100100
32222101012200020111020
4131000012032110210
51002233334110140
622150001211140
72151452601030
oct350006162444
988335606436
1031140144420
111222a888450
126050930ab0
132c23660278
141715a371c0
15c23c8e6d0
hex74018e524

31140144420 has 192 divisors, whose sum is σ = 108893030400. Its totient is φ = 6459632640.

The previous prime is 31140144359. The next prime is 31140144421. The reversal of 31140144420 is 2444104113.

It is not an unprimeable number, because it can be changed into a prime (31140144421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2854336 + ... + 2865224.

It is an arithmetic number, because the mean of its divisors is an integer number (567151200).

Almost surely, 231140144420 is an apocalyptic number.

31140144420 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 31140144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446515200).

31140144420 is an abundant number, since it is smaller than the sum of its proper divisors (77752885980).

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

31140144420 is a wasteful number, since it uses less digits than its factorization.

31140144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11538 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31140144420 its reverse (2444104113), we get a palindrome (33584248533).

The spelling of 31140144420 in words is "thirty-one billion, one hundred forty million, one hundred forty-four thousand, four hundred twenty".