Search a number
-
+
114047746505 = 57118317592029
BaseRepresentation
bin110101000110111000…
…1101000000111001001
3101220101011221210201022
41222031301220013021
53332032210342010
6124220503002225
711145131564450
oct1521561500711
9356334853638
10114047746505
1144404a85a60
121a12a439375
13a9a6c98094
14573ca05b97
152e7764ed55
hex1a8dc681c9

114047746505 has 64 divisors (see below), whose sum is σ = 172866355200. Its totient is φ = 70163608320.

The previous prime is 114047746471. The next prime is 114047746537. The reversal of 114047746505 is 505647740411.

It is not a de Polignac number, because 114047746505 - 26 = 114047746441 is a prime.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 56207831 + ... + 56209859.

It is an arithmetic number, because the mean of its divisors is an integer number (2701036800).

Almost surely, 2114047746505 is an apocalyptic number.

It is an amenable number.

114047746505 is a deficient number, since it is larger than the sum of its proper divisors (58818608695).

114047746505 is a wasteful number, since it uses less digits than its factorization.

114047746505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894.

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 114047746505 in words is "one hundred fourteen billion, forty-seven million, seven hundred forty-six thousand, five hundred five".

Divisors: 1 5 7 11 35 55 77 83 385 415 581 913 1759 2029 2905 4565 6391 8795 10145 12313 14203 19349 22319 31955 61565 71015 96745 111595 135443 145997 156233 168407 677215 729985 781165 842035 1021979 1178849 1605967 1852477 3569011 5109895 5894245 8029835 9262385 11241769 12967339 17845055 24983077 39259121 56208845 64836695 124915385 196295605 274813847 296227913 1374069235 1481139565 2073595391 3258507043 10367976955 16292535215 22809549301 114047746505