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21343444308 = 22321736795027
BaseRepresentation
bin10011111000001010…
…110001110101010100
32001002110110022101100
4103320022301311110
5322202410204213
613445520030100
71353624166104
oct237012616524
961073408340
1021343444308
1190628aa67a
124177a62330
132021b140b4
1410668b5204
1584db8d773
hex4f82b1d54

21343444308 has 72 divisors (see below), whose sum is σ = 57281357952. Its totient is φ = 6677667072.

The previous prime is 21343444303. The next prime is 21343444351. The reversal of 21343444308 is 80344434312.

21343444308 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 344 + 4 + 308 = 666.

It is a super-2 number, since 2×213434443082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343444303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 177091 + ... + 272117.

It is an arithmetic number, because the mean of its divisors is an integer number (795574416).

Almost surely, 221343444308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343444308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28640678976).

21343444308 is an abundant number, since it is smaller than the sum of its proper divisors (35937913644).

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

21343444308 is a wasteful number, since it uses less digits than its factorization.

21343444308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95421 (or 95416 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 21343444308 in words is "twenty-one billion, three hundred forty-three million, four hundred forty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 367 612 734 1101 1468 2202 3303 4404 6239 6606 12478 13212 18717 24956 37434 56151 74868 95027 112302 190054 224604 285081 380108 570162 855243 1140324 1615459 1710486 3230918 3420972 4846377 6461836 9692754 14539131 19385508 29078262 34874909 58156524 69749818 104624727 139499636 209249454 313874181 418498908 592873453 627748362 1185746906 1255496724 1778620359 2371493812 3557240718 5335861077 7114481436 10671722154 21343444308