Search a number
-
+
114226128544 = 25111731615761
BaseRepresentation
bin110101001100001101…
…0000110011010100000
3101220211121121112212111
41222120122012122200
53332413342103134
6124250314205104
711152426033633
oct1523032063240
9356747545774
10114226128544
1144496743030
121a17a123794
13aa04c23698
14575859bc1a
152e88138c64
hex1a986866a0

114226128544 has 96 divisors (see below), whose sum is σ = 268137257472. Its totient is φ = 47290368000.

The previous prime is 114226128539. The next prime is 114226128553. The reversal of 114226128544 is 445821622411.

It is a happy number.

It is a super-3 number, since 3×1142261285443 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114226128497 and 114226128506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122377 + ... + 493384.

It is an arithmetic number, because the mean of its divisors is an integer number (2793096432).

Almost surely, 2114226128544 is an apocalyptic number.

It is an amenable number.

114226128544 is an abundant number, since it is smaller than the sum of its proper divisors (153911128928).

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

114226128544 is a wasteful number, since it uses less digits than its factorization.

114226128544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615830 (or 615822 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The spelling of 114226128544 in words is "one hundred fourteen billion, two hundred twenty-six million, one hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 68 88 124 136 176 187 248 272 341 352 374 496 527 544 682 748 992 1054 1364 1496 2108 2728 2992 4216 5456 5797 5984 8432 10912 11594 16864 23188 46376 92752 185504 615761 1231522 2463044 4926088 6773371 9852176 10467937 13546742 19088591 19704352 20935874 27093484 38177182 41871748 54186968 76354364 83743496 108373936 115147307 152708728 167486992 209974501 216747872 230294614 305417456 324506047 334973984 419949002 460589228 610834912 649012094 839898004 921178456 1298024188 1679796008 1842356912 2596048376 3359592016 3569566517 3684713824 5192096752 6719184032 7139133034 10384193504 14278266068 28556532136 57113064272 114226128544