Search a number
-
+
114267773136 = 243111243717401
BaseRepresentation
bin110101001101011100…
…0111101100011010000
3101220221111222022111210
41222122320331203100
53333010022220021
6124254402540120
711153443021506
oct1523270754320
9356844868453
10114267773136
11445081a7250
121a190067640
13aa1074495a
14575dd1c676
152e8bb12e76
hex1a9ae3d8d0

114267773136 has 80 divisors (see below), whose sum is σ = 322071761088. Its totient is φ = 34621824000.

The previous prime is 114267773101. The next prime is 114267773183. The reversal of 114267773136 is 631377762411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 6558036 + ... + 6575436.

Almost surely, 2114267773136 is an apocalyptic number.

114267773136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114267773136 is an abundant number, since it is smaller than the sum of its proper divisors (207803987952).

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

114267773136 is a wasteful number, since it uses less digits than its factorization.

114267773136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29860 (or 29854 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The spelling of 114267773136 in words is "one hundred fourteen billion, two hundred sixty-seven million, seven hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12437 17401 24874 34802 37311 49748 52203 69604 74622 99496 104406 136807 139208 149244 191411 198992 208812 273614 278416 298488 382822 410421 417624 547228 574233 596976 765644 820842 835248 1094456 1148466 1531288 1641684 2188912 2296932 3062576 3283368 4593864 6566736 9187728 216416237 432832474 649248711 865664948 1298497422 1731329896 2380578607 2596994844 3462659792 4761157214 5193989688 7141735821 9522314428 10387979376 14283471642 19044628856 28566943284 38089257712 57133886568 114267773136