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14442046340 = 225722102317
BaseRepresentation
bin11010111001101000…
…00010001110000100
31101021111020222011012
431130310002032010
5214034130440330
610345023101352
71020613240241
oct153464021604
941244228135
1014442046340
116141182197
122970741858
131492082567
149b00a45c8
15597d4ec95
hex35cd02384

14442046340 has 12 divisors (see below), whose sum is σ = 30328297356. Its totient is φ = 5776818528.

The previous prime is 14442046301. The next prime is 14442046391. The reversal of 14442046340 is 4364024441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10849722244 + 3592324096 = 104162^2 + 59936^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14442046297 and 14442046306.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361051139 + ... + 361051178.

It is an arithmetic number, because the mean of its divisors is an integer number (2527358113).

Almost surely, 214442046340 is an apocalyptic number.

14442046340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442046340 is an abundant number, since it is smaller than the sum of its proper divisors (15886251016).

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

14442046340 is a wasteful number, since it uses less digits than its factorization.

14442046340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722102326 (or 722102324 counting only the distinct ones).

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

The spelling of 14442046340 in words is "fourteen billion, four hundred forty-two million, forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 722102317 1444204634 2888409268 3610511585 7221023170 14442046340