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114107016645 = 32519299944501
BaseRepresentation
bin110101001000101001…
…1101110010111000101
3101220112022111001001200
41222101103232113011
53332142344013040
6124230421213113
711146451431626
oct1522123562705
9356468431050
10114107016645
1144435488546
121a146261199
13a9b634aa7b
145746833a4d
152e7c95b630
hex1a914ee5c5

114107016645 has 48 divisors (see below), whose sum is σ = 208269360000. Its totient is φ = 57633552000.

The previous prime is 114107016623. The next prime is 114107016649. The reversal of 114107016645 is 546610701411.

114107016645 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 7 + 0 + 1 + 6 + 645 = 666.

It is not a de Polignac number, because 114107016645 - 28 = 114107016389 is a prime.

It is a super-2 number, since 2×1141070166452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114107016649) 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 47 ways as a sum of consecutive naturals, for example, 2541895 + ... + 2586395.

It is an arithmetic number, because the mean of its divisors is an integer number (4338945000).

Almost surely, 2114107016645 is an apocalyptic number.

114107016645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114107016645 is a deficient number, since it is larger than the sum of its proper divisors (94162343355).

114107016645 is a wasteful number, since it uses less digits than its factorization.

114107016645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47530 (or 47527 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 114107016645 in words is "one hundred fourteen billion, one hundred seven million, sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 2999 8997 14995 26991 44501 44985 56981 133503 134955 170943 222505 284905 400509 512829 667515 845519 854715 2002545 2536557 2564145 4227595 7609671 12682785 38048355 133458499 400375497 667292495 1201126491 2001877485 2535711481 6005632455 7607134443 12678557405 22821403329 38035672215 114107016645