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21434114304 = 28329303001
BaseRepresentation
bin10011111101100100…
…101010000100000000
32001022210001211020100
4103331210222010000
5322344113124204
613502515242400
71356104652111
oct237544520400
961283054210
1021434114304
1190a9aa9359
1241a22a9400
13203783bc95
141074958208
15856aeda39
hex4fd92a100

21434114304 has 54 divisors (see below), whose sum is σ = 61799842286. Its totient is φ = 7144704000.

The previous prime is 21434114269. The next prime is 21434114329. The reversal of 21434114304 is 40341143412.

21434114304 is a `hidden beast` number, since 2 + 1 + 4 + 341 + 14 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21362745600 + 71368704 = 146160^2 + 8448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4649197 + ... + 4653804.

Almost surely, 221434114304 is an apocalyptic number.

21434114304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21434114304 is an abundant number, since it is smaller than the sum of its proper divisors (40365727982).

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

21434114304 is an equidigital number, since it uses as much as digits as its factorization.

21434114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303023 (or 9303006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21434114304 its reverse (40341143412), we get a palindrome (61775257716).

The spelling of 21434114304 in words is "twenty-one billion, four hundred thirty-four million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9303001 18606002 27909003 37212004 55818006 74424008 83727009 111636012 148848016 167454018 223272024 297696032 334908036 446544048 595392064 669816072 893088096 1190784128 1339632144 1786176192 2381568256 2679264288 3572352384 5358528576 7144704768 10717057152 21434114304