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133418119914120 = 23352414613351311
BaseRepresentation
bin11110010101011111010011…
…101001001110001010001000
3122111101122111011122221111010
4132111133103221032022020
5114441410302144222440
61151431234350203520
740050066246454536
oct3625372351161210
9574348434587433
10133418119914120
1139569341540a38
1212b693aa4b35a0
13595a37574a7a2
1424d368597b156
1510657a1379580
hex7957d3a4e288

133418119914120 has 64 divisors (see below), whose sum is σ = 401915166301440. Its totient is φ = 35430538060800.

The previous prime is 133418119914097. The next prime is 133418119914259. The reversal of 133418119914120 is 21419911814331.

It is a self number, because there is not a number n which added to its sum of digits gives 133418119914120.

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, 2306646736 + ... + 2306704575.

It is an arithmetic number, because the mean of its divisors is an integer number (6279924473460).

Almost surely, 2133418119914120 is an apocalyptic number.

133418119914120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133418119914120 is an abundant number, since it is smaller than the sum of its proper divisors (268497046387320).

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

133418119914120 is a wasteful number, since it uses less digits than its factorization.

133418119914120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613351566 (or 4613351562 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 133418119914120 in words is "one hundred thirty-three trillion, four hundred eighteen billion, one hundred nineteen million, nine hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 4613351311 9226702622 13840053933 18453405244 23066756555 27680107866 36906810488 46133513110 55360215732 69200269665 92267026220 110720431464 138400539330 184534052440 276801078660 553602157320 1111817665951 2223635331902 3335452997853 4447270663804 5559088329755 6670905995706 8894541327608 11118176659510 13341811991412 16677264989265 22236353319020 26683623982824 33354529978530 44472706638040 66709059957060 133418119914120