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114334565641 = 2943799311471
BaseRepresentation
bin110101001111011011…
…1110000010100001001
3101221010011122201121021
41222132313300110021
53333124122100031
6124305150312441
711155213526032
oct1523667602411
9357104581537
10114334565641
114454197746a
121a1aa4b8721
13aa2152c54a
145768b47a89
152e92908511
hex1a9edf0509

114334565641 has 16 divisors (see below), whose sum is σ = 121053461760. Its totient is φ = 107801850240.

The previous prime is 114334565629. The next prime is 114334565647. The reversal of 114334565641 is 146565433411.

It is a cyclic number.

It is not a de Polignac number, because 114334565641 - 217 = 114334434569 is a prime.

It is a super-2 number, since 2×1143345656412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114334565647) by changing a digit.

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, 9961536 + ... + 9973006.

It is an arithmetic number, because the mean of its divisors is an integer number (7565841360).

Almost surely, 2114334565641 is an apocalyptic number.

It is an amenable number.

114334565641 is a deficient number, since it is larger than the sum of its proper divisors (6718896119).

114334565641 is a wasteful number, since it uses less digits than its factorization.

114334565641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536.

The product of its digits is 518400, while the sum is 43.

The spelling of 114334565641 in words is "one hundred fourteen billion, three hundred thirty-four million, five hundred sixty-five thousand, six hundred forty-one".

Divisors: 1 29 43 1247 7993 11471 231797 332659 343699 493253 9967271 14304337 91687703 2658943387 3942571229 114334565641