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21343444344 = 233219109143137
BaseRepresentation
bin10011111000001010…
…110001110101111000
32001002110110022102200
4103320022301311320
5322202410204334
613445520030200
71353624166155
oct237012616570
961073408380
1021343444344
1190628aa702
124177a62360
132021b14111
1410668b522c
1584db8d799
hex4f82b1d78

21343444344 has 96 divisors (see below), whose sum is σ = 61406202000. Its totient is φ = 6678153216.

The previous prime is 21343444303. The next prime is 21343444351. The reversal of 21343444344 is 44344434312.

21343444344 is a `hidden beast` number, since 213 + 4 + 3 + 4 + 4 + 434 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 21343444299 and 21343444308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77544 + ... + 220680.

Almost surely, 221343444344 is an apocalyptic number.

21343444344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30703101000).

21343444344 is an abundant number, since it is smaller than the sum of its proper divisors (40062757656).

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

21343444344 is a wasteful number, since it uses less digits than its factorization.

21343444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143277 (or 143270 counting only the distinct ones).

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

Adding to 21343444344 its reverse (44344434312), we get a palindrome (65687878656).

The spelling of 21343444344 in words is "twenty-one billion, three hundred forty-three million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 109 114 152 171 218 228 327 342 436 456 654 684 872 981 1308 1368 1962 2071 2616 3924 4142 6213 7848 8284 12426 16568 18639 24852 37278 49704 74556 143137 149112 286274 429411 572548 858822 1145096 1288233 1717644 2576466 2719603 3435288 5152932 5439206 8158809 10305864 10878412 15601933 16317618 21756824 24476427 31203866 32635236 46805799 48952854 62407732 65270472 93611598 97905708 124815464 140417397 187223196 195811416 280834794 296436727 374446392 561669588 592873454 889310181 1123339176 1185746908 1778620362 2371493816 2667930543 3557240724 5335861086 7114481448 10671722172 21343444344