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21434013144 = 2332404973523
BaseRepresentation
bin10011111101100100…
…010001010111011000
32001022202212200110200
4103331210101113120
5322344101410034
613502513142200
71356104051145
oct237544212730
961282780420
1021434013144
1190a9a3a355
1241a225a960
132037804c1b
14107492d3cc
15856acda99
hex4fd9115d8

21434013144 has 48 divisors (see below), whose sum is σ = 58065579000. Its totient is φ = 7142809344.

The previous prime is 21434013131. The next prime is 21434013203. The reversal of 21434013144 is 44131043412.

21434013144 is a `hidden beast` number, since 2 + 1 + 4 + 340 + 1 + 314 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254767 + ... + 328289.

Almost surely, 221434013144 is an apocalyptic number.

21434013144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21434013144 is an abundant number, since it is smaller than the sum of its proper divisors (36631565856).

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

21434013144 is a wasteful number, since it uses less digits than its factorization.

21434013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77584 (or 77577 counting only the distinct ones).

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

Adding to 21434013144 its reverse (44131043412), we get a palindrome (65565056556).

The spelling of 21434013144 in words is "twenty-one billion, four hundred thirty-four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4049 8098 12147 16196 24294 32392 36441 48588 72882 73523 97176 145764 147046 220569 291528 294092 441138 588184 661707 882276 1323414 1764552 2646828 5293656 297694627 595389254 893083881 1190778508 1786167762 2381557016 2679251643 3572335524 5358503286 7144671048 10717006572 21434013144