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21320240344344 = 2333891109042881
BaseRepresentation
bin1001101100100000000010…
…10110100010110100011000
32210111012021012120222121000
410312100001112202310120
510243302323012004334
6113202214434345000
74330223300545464
oct466200126426430
983435235528530
1021320240344344
11687a954947537
12248400942b160
13bb864a7c7596
14539c959b34a4
1526e8c5ba0299
hex1364015a2d18

21320240344344 has 64 divisors (see below), whose sum is σ = 59888315628000. Its totient is φ = 7026895687680.

The previous prime is 21320240344331. The next prime is 21320240344367. The reversal of 21320240344344 is 44344304202312.

21320240344344 is a `hidden beast` number, since 2 + 1 + 3 + 202 + 4 + 0 + 3 + 443 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21320240344299 and 21320240344308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554502217 + ... + 554540664.

Almost surely, 221320240344344 is an apocalyptic number.

21320240344344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21320240344344 is an abundant number, since it is smaller than the sum of its proper divisors (38568075283656).

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

21320240344344 is a wasteful number, since it uses less digits than its factorization.

21320240344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109042985 (or 1109042975 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 21320240344344 its reverse (44344304202312), we get a palindrome (65664544546656).

The spelling of 21320240344344 in words is "twenty-one trillion, three hundred twenty billion, two hundred forty million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 19224 1109042881 2218085762 3327128643 4436171524 6654257286 8872343048 9981385929 13308514572 19962771858 26617029144 29944157787 39925543716 59888315574 79851087432 98704816409 119776631148 197409632818 239553262296 296114449227 394819265636 592228898454 789638531272 888343347681 1184457796908 1776686695362 2368915593816 2665030043043 3553373390724 5330060086086 7106746781448 10660120172172 21320240344344