Search a number
-
+
232123134133344 = 2532417949313889
BaseRepresentation
bin110100110001110101100000…
…111101000100010001100000
31010102212202101022202202012210
4310301311200331010101200
5220411101134314231334
62141403521245322120
766615225440254356
oct6461654075042140
91112782338682183
10232123134133344
1167a63960865053
122204b027b66340
139c6a16b56600c
144146b691277d6
151bc80c70385e9
hexd31d60f44460

232123134133344 has 24 divisors (see below), whose sum is σ = 609323227100280. Its totient is φ = 77374378044416.

The previous prime is 232123134133339. The next prime is 232123134133381. The reversal of 232123134133344 is 443331431321232.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2321231341333442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1208974656849 + ... + 1208974657040.

It is an arithmetic number, because the mean of its divisors is an integer number (25388467795845).

Almost surely, 2232123134133344 is an apocalyptic number.

232123134133344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232123134133344 is an abundant number, since it is smaller than the sum of its proper divisors (377200092966936).

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

232123134133344 is a wasteful number, since it uses less digits than its factorization.

232123134133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417949313902 (or 2417949313894 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

Adding to 232123134133344 its reverse (443331431321232), we get a palindrome (675454565454576).

The spelling of 232123134133344 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, one hundred thirty-four million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2417949313889 4835898627778 7253847941667 9671797255556 14507695883334 19343594511112 29015391766668 38687189022224 58030783533336 77374378044448 116061567066672 232123134133344