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3134976479760 = 243549932616143
BaseRepresentation
bin101101100111101011001…
…010001101001000010000
3102002200220220022212221010
4231213223022031020100
5402330412434323020
610400104401530520
7442331432255556
oct55475312151020
912080826285833
103134976479760
11aa95995487a4
124276b5343a40
1319981c7197c8
14aba3b29dbd6
1556834414de0
hex2d9eb28d210

3134976479760 has 80 divisors (see below), whose sum is σ = 9720377213184. Its totient is φ = 835825975296.

The previous prime is 3134976479759. The next prime is 3134976479779. The reversal of 3134976479760 is 679746794313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3134976479691 and 3134976479700.

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 15 ways as a sum of consecutive naturals, for example, 109752 + ... + 2506391.

Almost surely, 23134976479760 is an apocalyptic number.

3134976479760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134976479760 is an abundant number, since it is smaller than the sum of its proper divisors (6585400733424).

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

3134976479760 is a wasteful number, since it uses less digits than its factorization.

3134976479760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621152 (or 2621146 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 66.

The spelling of 3134976479760 in words is "three trillion, one hundred thirty-four billion, nine hundred seventy-six million, four hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4993 9986 14979 19972 24965 29958 39944 49930 59916 74895 79888 99860 119832 149790 199720 239664 299580 399440 599160 1198320 2616143 5232286 7848429 10464572 13080715 15696858 20929144 26161430 31393716 39242145 41858288 52322860 62787432 78484290 104645720 125574864 156968580 209291440 313937160 627874320 13062401999 26124803998 39187205997 52249607996 65312009995 78374411994 104499215992 130624019990 156748823988 195936029985 208998431984 261248039980 313497647976 391872059970 522496079960 626995295952 783744119940 1044992159920 1567488239880 3134976479760