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3116446624140 = 2235191392713871
BaseRepresentation
bin101101010110011010101…
…100011010100110001100
3102000221002112010200122020
4231112122230122212030
5402024440313433030
610343401550450140
7441104311142103
oct55263254324614
912027075120566
103116446624140
11aa174a967a33
12423ba3803950
13197b587acab5
14aaba034903a
15560ec797510
hex2d59ab1a98c

3116446624140 has 48 divisors (see below), whose sum is σ = 8726509693440. Its totient is φ = 831008704960.

The previous prime is 3116446624139. The next prime is 3116446624189. The reversal of 3116446624140 is 414266446113.

It is a happy number.

3116446624140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31164466241402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3116446624092 and 3116446624101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208596 + ... + 2505275.

It is an arithmetic number, because the mean of its divisors is an integer number (181802285280).

Almost surely, 23116446624140 is an apocalyptic number.

3116446624140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3116446624140 is an abundant number, since it is smaller than the sum of its proper divisors (5610063069300).

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

3116446624140 is a wasteful number, since it uses less digits than its factorization.

3116446624140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733022 (or 2733020 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 3116446624140 in words is "three trillion, one hundred sixteen billion, four hundred forty-six million, six hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 19139 38278 57417 76556 95695 114834 191390 229668 287085 382780 574170 1148340 2713871 5427742 8141613 10855484 13569355 16283226 27138710 32566452 40708065 54277420 81416130 162832260 51940777069 103881554138 155822331207 207763108276 259703885345 311644662414 519407770690 623289324828 779111656035 1038815541380 1558223312070 3116446624140