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2334043014144 = 21031387754751
BaseRepresentation
bin100001111101101111110…
…011100000010000000000
322021010120110201011211220
4201331233303200100000
5301220110002423034
64544124454035040
7330425522163462
oct41755763402000
98233513634756
102334043014144
1181a953484516
1231842a348a80
1313c13a25a21a
1480d7ad8a132
1540aa91d5749
hex21f6fce0400

2334043014144 has 88 divisors (see below), whose sum is σ = 6221637520128. Its totient is φ = 777944064000.

The previous prime is 2334043014131. The next prime is 2334043014151. The reversal of 2334043014144 is 4414103404332.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42602769 + ... + 42657519.

Almost surely, 22334043014144 is an apocalyptic number.

2334043014144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2334043014144 is an abundant number, since it is smaller than the sum of its proper divisors (3887594505984).

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

2334043014144 is a wasteful number, since it uses less digits than its factorization.

2334043014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68651 (or 68633 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2334043014144 its reverse (4414103404332), we get a palindrome (6748146418476).

The spelling of 2334043014144 in words is "two trillion, three hundred thirty-four billion, forty-three million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 13877 27754 41631 54751 55508 83262 109502 111016 164253 166524 219004 222032 328506 333048 438008 444064 657012 666096 876016 888128 1314024 1332192 1752032 1776256 2628048 2664384 3504064 3552512 5256096 5328768 7008128 7105024 10512192 10657536 14016256 14210048 21024384 21315072 28032512 42048768 42630144 56065024 84097536 168195072 759779627 1519559254 2279338881 3039118508 4558677762 6078237016 9117355524 12156474032 18234711048 24312948064 36469422096 48625896128 72938844192 97251792256 145877688384 194503584512 291755376768 389007169024 583510753536 778014338048 1167021507072 2334043014144