Search a number
-
+
107044740114 = 23134729199329
BaseRepresentation
bin110001110110001011…
…1010001110000010010
3101020022010120012221020
41203230113101300102
53223211423140424
6121101540140310
710506445164264
oct1435427216022
9336263505836
10107044740114
1141440a68674
12188b5097696
13a12c17b910
145276905b34
152bb7940079
hex18ec5d1c12

107044740114 has 32 divisors (see below), whose sum is σ = 235463397120. Its totient is φ = 32236058112.

The previous prime is 107044740043. The next prime is 107044740139. The reversal of 107044740114 is 411047440701.

It is a super-3 number, since 3×1070447401143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 14595999 + ... + 14603330.

It is an arithmetic number, because the mean of its divisors is an integer number (7358231160).

Almost surely, 2107044740114 is an apocalyptic number.

107044740114 is an abundant number, since it is smaller than the sum of its proper divisors (128418657006).

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

107044740114 is a wasteful number, since it uses less digits than its factorization.

107044740114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29199394.

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 107044740114 in words is "one hundred seven billion, forty-four million, seven hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 3666 29199329 58398658 87597987 175195974 379591277 759182554 1138773831 1372368463 2277547662 2744736926 4117105389 8234210778 17840790019 35681580038 53522370057 107044740114