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14814910680 = 23351271675821
BaseRepresentation
bin11011100110000100…
…11001100011011000
31102020110212102212120
431303002121203120
5220320104120210
610450022541240
71033061443263
oct156302314330
942213772776
1014814910680
1163126a3739
122a55597820
1315213b284b
14a07803cda
155ba953270
hex3730998d8

14814910680 has 128 divisors (see below), whose sum is σ = 45070663680. Its totient is φ = 3895395840.

The previous prime is 14814910639. The next prime is 14814910687. The reversal of 14814910680 is 8601941841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814910687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542170 + ... + 2547990.

It is an arithmetic number, because the mean of its divisors is an integer number (352114560).

Almost surely, 214814910680 is an apocalyptic number.

14814910680 is a gapful number since it is divisible by the number (10) 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 14814910680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22535331840).

14814910680 is an abundant number, since it is smaller than the sum of its proper divisors (30255753000).

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

14814910680 is a wasteful number, since it uses less digits than its factorization.

14814910680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 14814910680 in words is "fourteen billion, eight hundred fourteen million, nine hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 167 254 334 381 501 508 635 668 762 835 1002 1016 1270 1336 1524 1670 1905 2004 2505 2540 3048 3340 3810 4008 5010 5080 5821 6680 7620 10020 11642 15240 17463 20040 21209 23284 29105 34926 42418 46568 58210 63627 69852 84836 87315 106045 116420 127254 139704 169672 174630 212090 232840 254508 318135 349260 424180 509016 636270 698520 739267 848360 972107 1272540 1478534 1944214 2217801 2545080 2916321 2957068 3696335 3888428 4435602 4860535 5832642 5914136 7392670 7776856 8871204 9721070 11089005 11665284 14581605 14785340 17742408 19442140 22178010 23330568 29163210 29570680 38884280 44356020 58326420 88712040 116652840 123457589 246915178 370372767 493830356 617287945 740745534 987660712 1234575890 1481491068 1851863835 2469151780 2962982136 3703727670 4938303560 7407455340 14814910680