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330942149136 = 24327417309857
BaseRepresentation
bin1001101000011011011…
…00000111001000010000
31011122012221001001202200
410310031230013020100
520410232142233021
6412011022443200
732624024565564
oct4641554071020
91148187031680
10330942149136
11118396240985
125417ba33500
13252914571b1
14120367596a4
15891dd8d126
hex4d0db07210

330942149136 has 60 divisors (see below), whose sum is σ = 926306237532. Its totient is φ = 110298820608.

The previous prime is 330942149117. The next prime is 330942149141. The reversal of 330942149136 is 631941249033.

It is a happy number.

330942149136 is a `hidden beast` number, since 330 + 9 + 42 + 149 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230861030400 + 100081118736 = 480480^2 + 316356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330942149091 and 330942149100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913120 + ... + 1222976.

Almost surely, 2330942149136 is an apocalyptic number.

330942149136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

330942149136 is an abundant number, since it is smaller than the sum of its proper divisors (595364088396).

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

330942149136 is a wasteful number, since it uses less digits than its factorization.

330942149136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317288 (or 317279 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 330942149136 in words is "three hundred thirty billion, nine hundred forty-two million, one hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7417 14834 22251 29668 44502 59336 66753 89004 118672 133506 178008 267012 309857 356016 534024 619714 929571 1068048 1239428 1859142 2478856 2788713 3718284 4957712 5577426 7436568 11154852 14873136 22309704 44619408 2298209369 4596418738 6894628107 9192837476 13789256214 18385674952 20683884321 27578512428 36771349904 41367768642 55157024856 82735537284 110314049712 165471074568 330942149136