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14031202016 = 251331091831
BaseRepresentation
bin11010001000101001…
…10010011011100000
31100012212011220200202
431010110302123200
5212213441431031
610240145204332
71004464151336
oct150424623340
940185156622
1014031202016
115a5027a827
1228770306a8
131427c15000
149716b9b56
15571c482cb
hex3445326e0

14031202016 has 96 divisors (see below), whose sum is σ = 30215908800. Its totient is φ = 6413022720.

The previous prime is 14031202001. The next prime is 14031202063. The reversal of 14031202016 is 61020213041.

It is a congruent number.

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, 7662221 + ... + 7664051.

It is an arithmetic number, because the mean of its divisors is an integer number (314749050).

Almost surely, 214031202016 is an apocalyptic number.

14031202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14031202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107954400).

14031202016 is an abundant number, since it is smaller than the sum of its proper divisors (16184706784).

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

14031202016 is a wasteful number, since it uses less digits than its factorization.

14031202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14031202016 its reverse (61020213041), we get a palindrome (75051415057).

The spelling of 14031202016 in words is "fourteen billion, thirty-one million, two hundred two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 169 208 218 338 416 436 676 872 1352 1417 1744 1831 2197 2704 2834 3488 3662 4394 5408 5668 7324 8788 11336 14648 17576 18421 22672 23803 29296 35152 36842 45344 47606 58592 70304 73684 95212 147368 190424 199579 239473 294736 309439 380848 399158 478946 589472 618878 761696 798316 957892 1237756 1596632 1915784 2475512 2594527 3193264 3831568 4022707 4951024 5189054 6386528 7663136 8045414 9902048 10378108 16090828 20756216 32181656 33728851 41512432 64363312 67457702 83024864 128726624 134915404 269830808 438475063 539661616 876950126 1079323232 1753900252 3507800504 7015601008 14031202016