Search a number
-
+
114174744201 = 32716722947389
BaseRepresentation
bin110101001010101011…
…0000101011010001001
3101220201000220221210200
41222111112011122021
53332312213303301
6124241241002413
711151233212230
oct1522526053211
9356630827720
10114174744201
114446a737231
121a164a83409
13a9c73a214b
145751823b17
152e83888c86
hex1a95585689

114174744201 has 48 divisors (see below), whose sum is σ = 190439558400. Its totient is φ = 64567476864.

The previous prime is 114174744181. The next prime is 114174744239. The reversal of 114174744201 is 102447471411.

114174744201 is a `hidden beast` number, since 1 + 141 + 7 + 474 + 42 + 0 + 1 = 666.

It is not a de Polignac number, because 114174744201 - 29 = 114174743689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114174744001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2385615 + ... + 2433003.

It is an arithmetic number, because the mean of its divisors is an integer number (3967490800).

Almost surely, 2114174744201 is an apocalyptic number.

It is an amenable number.

114174744201 is a deficient number, since it is larger than the sum of its proper divisors (76264814199).

114174744201 is a wasteful number, since it uses less digits than its factorization.

114174744201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47798 (or 47795 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 114174744201 in words is "one hundred fourteen billion, one hundred seventy-four million, seven hundred forty-four thousand, two hundred one".

Divisors: 1 3 7 9 21 63 167 229 501 687 1169 1503 1603 2061 3507 4809 10521 14427 38243 47389 114729 142167 267701 331723 344187 426501 803103 995169 2409309 2985507 7913963 10852081 23741889 32556243 55397741 71225667 75964567 97668729 166193223 227893701 498579669 683681103 1812297527 5436892581 12686082689 16310677743 38058248067 114174744201