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30133131416040 = 23351714771142851
BaseRepresentation
bin1101101100111111010101…
…00110000001000111101000
310221200200212201221102100210
412312133222212001013220
512422200123120303130
6144030545223301120
76230022041635332
oct666375246010750
9127620781842323
1030133131416040
11966843112a424
1234680048aa7a0
1313a7707cbb483
147626466aa452
15373c729de5b0
hex1b67ea9811e8

30133131416040 has 64 divisors (see below), whose sum is σ = 95717005680960. Its totient is φ = 7562825139200.

The previous prime is 30133131415967. The next prime is 30133131416053. The reversal of 30133131416040 is 4061413133103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30133131415989 and 30133131416007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7385569386 + ... + 7385573465.

It is an arithmetic number, because the mean of its divisors is an integer number (1495578213765).

Almost surely, 230133131416040 is an apocalyptic number.

30133131416040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30133131416040 is an abundant number, since it is smaller than the sum of its proper divisors (65583874264920).

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

30133131416040 is a wasteful number, since it uses less digits than its factorization.

30133131416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771142882 (or 14771142878 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 30133131416040 its reverse (4061413133103), we get a palindrome (34194544549143).

The spelling of 30133131416040 in words is "thirty trillion, one hundred thirty-three billion, one hundred thirty-one million, four hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 14771142851 29542285702 44313428553 59084571404 73855714255 88626857106 118169142808 147711428510 177253714212 221567142765 251109428467 295422857020 354507428424 443134285530 502218856934 590845714040 753328285401 886268571060 1004437713868 1255547142335 1506656570802 1772537142120 2008875427736 2511094284670 3013313141604 3766641427005 5022188569340 6026626283208 7533282854010 10044377138680 15066565708020 30133131416040