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21344331426282 = 234612159920201
BaseRepresentation
bin1001101101001100111010…
…10010101110100111101010
32210120111110011012202020000
410312212131102232213222
510244201142321120112
6113221241150043430
74332035300426124
oct466463522564752
983514404182200
1021344331426282
11688a09770aa07
1224888114a9576
13bba9b9934157
1453b0dd35c214
15270335b837dc
hex13699d4ae9ea

21344331426282 has 40 divisors (see below), whose sum is σ = 48611164066212. Its totient is φ = 6998141448000.

The previous prime is 21344331426269. The next prime is 21344331426283. The reversal of 21344331426282 is 28262413344312.

It is a happy number.

21344331426282 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 3 + 3 + 14 + 2 + 628 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20729818106001 + 614513320281 = 4553001^2 + 783909^2 .

It is not an unprimeable number, because it can be changed into a prime (21344331426283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1079950219 + ... + 1079969982.

Almost surely, 221344331426282 is an apocalyptic number.

21344331426282 is an abundant number, since it is smaller than the sum of its proper divisors (27266832639930).

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

21344331426282 is a wasteful number, since it uses less digits than its factorization.

21344331426282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159920276 (or 2159920267 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 21344331426282 in words is "twenty-one trillion, three hundred forty-four billion, three hundred thirty-one million, four hundred twenty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 9882 2159920201 4319840402 6479760603 12959521206 19439281809 38878563618 58317845427 116635690854 131755132261 174953536281 263510264522 349907072562 395265396783 790530793566 1185796190349 2371592380698 3557388571047 7114777142094 10672165713141 21344331426282