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3131031440 = 245172302229
BaseRepresentation
bin1011101010011111…
…1011111110010000
322002012120212200102
42322213323332100
522403021001230
61234404511532
7140406220355
oct27247737620
98065525612
103131031440
111367427299
127346ab5a8
133ab8a1634
14219b9462c
15134d28045
hexba9fbf90

3131031440 has 40 divisors (see below), whose sum is σ = 7707866040. Its totient is φ = 1178740736.

The previous prime is 3131031439. The next prime is 3131031467. The reversal of 3131031440 is 441301313.

It can be written as a sum of positive squares in 4 ways, for example, as 1361314816 + 1769716624 = 36896^2 + 42068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149755 + ... + 1152474.

It is an arithmetic number, because the mean of its divisors is an integer number (192696651).

Almost surely, 23131031440 is an apocalyptic number.

It is an amenable number.

3131031440 is an abundant number, since it is smaller than the sum of its proper divisors (4576834600).

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

3131031440 is a wasteful number, since it uses less digits than its factorization.

3131031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302259 (or 2302253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3131031440 is about 55955.6202717832. The cubic root of 3131031440 is about 1462.9488532925.

Adding to 3131031440 its reverse (441301313), we get a palindrome (3572332753).

The spelling of 3131031440 in words is "three billion, one hundred thirty-one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2302229 4604458 9208916 11511145 18417832 23022290 36835664 39137893 46044580 78275786 92089160 156551572 184178320 195689465 313103144 391378930 626206288 782757860 1565515720 3131031440