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614435242146 = 231117547624993
BaseRepresentation
bin10001111000011110011…
…00011100000010100010
32011201222001022100001020
420330033030130002202
540031330410222041
61150133451350310
762251164246045
oct10741714340242
92151861270036
10614435242146
11217642748690
129b0b9152396
1345c304999cb
1421a4b496c5c
1510eb22c6866
hex8f0f31c0a2

614435242146 has 32 divisors (see below), whose sum is σ = 1419443984448. Its totient is φ = 175239997440.

The previous prime is 614435242121. The next prime is 614435242151. The reversal of 614435242146 is 641242534416.

It is a junction number, because it is equal to n+sod(n) for n = 614435242098 and 614435242107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273811375 + ... + 273813618.

It is an arithmetic number, because the mean of its divisors is an integer number (44357624514).

Almost surely, 2614435242146 is an apocalyptic number.

614435242146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

614435242146 is an abundant number, since it is smaller than the sum of its proper divisors (805008742302).

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

614435242146 is a wasteful number, since it uses less digits than its factorization.

614435242146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547625026.

The product of its digits is 552960, while the sum is 42.

The spelling of 614435242146 in words is "six hundred fourteen billion, four hundred thirty-five million, two hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 547624993 1095249986 1642874979 3285749958 6023874923 9309624881 12047749846 18071624769 18619249762 27928874643 36143249538 55857749286 102405873691 204811747382 307217621073 614435242146