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3131014440 = 2335172137659
BaseRepresentation
bin1011101010011111…
…0111110100101000
322002012120000100210
42322213313310220
522403014430230
61234404301120
7140406116661
oct27247676450
98065500323
103131014440
111367415544
127346a17a0
133ab896988
14219b8c368
15134d22eb0
hexba9f7d28

3131014440 has 192 divisors, whose sum is σ = 10066161600. Its totient is φ = 778903552.

The previous prime is 3131014429. The next prime is 3131014483. The reversal of 3131014440 is 444101313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4750831 + ... + 4751489.

It is an arithmetic number, because the mean of its divisors is an integer number (52427925).

Almost surely, 23131014440 is an apocalyptic number.

3131014440 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 3131014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033080800).

3131014440 is an abundant number, since it is smaller than the sum of its proper divisors (6935147160).

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

3131014440 is a wasteful number, since it uses less digits than its factorization.

3131014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3131014440 is about 55955.4683654779. The cubic root of 3131014440 is about 1462.9462055840.

Adding to 3131014440 its reverse (444101313), we get a palindrome (3575115753).

The spelling of 3131014440 in words is "three billion, one hundred thirty-one million, fourteen thousand, four hundred forty".