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14242642340 = 2256112979001
BaseRepresentation
bin11010100001110110…
…10111100110100100
31100202121001012021212
431100323113212210
5213132104023330
610313141130552
71012642314413
oct152073274644
940677035255
1014242642340
116049666aa3
1229159b9a58
13145c976624
149917d947a
155855b2295
hex350ed79a4

14242642340 has 48 divisors (see below), whose sum is σ = 30426687984. Its totient is φ = 5598720000.

The previous prime is 14242642339. The next prime is 14242642357. The reversal of 14242642340 is 4324624241.

It can be written as a sum of positive squares in 8 ways, for example, as 471150436 + 13771491904 = 21706^2 + 117352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14242642297 and 14242642306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577840 + ... + 1586840.

It is an arithmetic number, because the mean of its divisors is an integer number (633889333).

Almost surely, 214242642340 is an apocalyptic number.

14242642340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242642340 is an abundant number, since it is smaller than the sum of its proper divisors (16184045644).

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

14242642340 is a wasteful number, since it uses less digits than its factorization.

14242642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 14242642340 in words is "fourteen billion, two hundred forty-two million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1297 2594 5188 6485 9001 12970 18002 25940 36004 45005 79117 90010 158234 180020 316468 395585 549061 791170 1098122 1582340 2196244 2745305 5490610 10981220 11674297 23348594 46697188 58371485 116742970 233485940 712132117 1424264234 2848528468 3560660585 7121321170 14242642340