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3313213142432 = 2510913743116087
BaseRepresentation
bin110000001101101010111…
…001000111010110100000
3102201201222112001111002212
4300031222321013112200
5413240430031024212
611014022532101252
7461241340016534
oct60155271072640
912651875044085
103313213142432
1110681424974a6
12456158464828
131b0585c3978b
14b6508c07bc4
155b2b6e07e22
hex3036ae475a0

3313213142432 has 96 divisors (see below), whose sum is σ = 6646578301440. Its totient is φ = 1625545635840.

The previous prime is 3313213142413. The next prime is 3313213142441. The reversal of 3313213142432 is 2342413123133.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 205947893 + ... + 205963979.

It is an arithmetic number, because the mean of its divisors is an integer number (69235190640).

Almost surely, 23313213142432 is an apocalyptic number.

3313213142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3313213142432 is an abundant number, since it is smaller than the sum of its proper divisors (3333365159008).

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

3313213142432 is a wasteful number, since it uses less digits than its factorization.

3313213142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16766 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 3313213142432 its reverse (2342413123133), we get a palindrome (5655626265565).

The spelling of 3313213142432 in words is "three trillion, three hundred thirteen billion, two hundred thirteen million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 109 137 218 274 431 436 548 862 872 1096 1724 1744 2192 3448 3488 4384 6896 13792 14933 16087 29866 32174 46979 59047 59732 64348 93958 118094 119464 128696 187916 236188 238928 257392 375832 472376 477856 514784 751664 944752 1503328 1753483 1889504 2203919 3506966 4407838 6436123 6933497 7013932 8815676 12872246 13866994 14027864 17631352 25744492 27733988 28055728 35262704 51488984 55467976 56111456 70525408 102977968 110935952 205955936 221871904 240227171 480454342 755751173 949889089 960908684 1511502346 1899778178 1921817368 3023004692 3799556356 3843634736 6046009384 7599112712 7687269472 12092018768 15198225424 24184037536 30396450848 103537910701 207075821402 414151642804 828303285608 1656606571216 3313213142432