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14142921792 = 2631741105683
BaseRepresentation
bin11010010101111101…
…11101110001000000
31100111122101212102020
431022332331301000
5212431041444132
610255215521440
71010321565066
oct151276756100
940448355366
1014142921792
115aa834651a
1228a8529280
13144510009c
1498247c036
1557b96552c
hex34afbdc40

14142921792 has 112 divisors (see below), whose sum is σ = 40587728832. Its totient is φ = 4328734720.

The previous prime is 14142921791. The next prime is 14142921823. The reversal of 14142921792 is 29712924141.

It is not an unprimeable number, because it can be changed into a prime (14142921791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80983 + ... + 186665.

It is an arithmetic number, because the mean of its divisors is an integer number (362390436).

Almost surely, 214142921792 is an apocalyptic number.

14142921792 is a gapful number since it is divisible by the number (12) 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 14142921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293864416).

14142921792 is an abundant number, since it is smaller than the sum of its proper divisors (26444807040).

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

14142921792 is a wasteful number, since it uses less digits than its factorization.

14142921792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105756 (or 105746 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 14142921792 in words is "fourteen billion, one hundred forty-two million, nine hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 408 492 544 656 697 816 984 1088 1312 1394 1632 1968 2091 2624 2788 3264 3936 4182 5576 7872 8364 11152 16728 22304 33456 44608 66912 105683 133824 211366 317049 422732 634098 845464 1268196 1690928 1796611 2536392 3381856 3593222 4333003 5072784 5389833 6763712 7186444 8666006 10145568 10779666 12999009 14372888 17332012 20291136 21559332 25998018 28745776 34664024 43118664 51996036 57491552 69328048 73661051 86237328 103992072 114983104 138656096 147322102 172474656 207984144 220983153 277312192 294644204 344949312 415968288 441966306 589288408 831936576 883932612 1178576816 1767865224 2357153632 3535730448 4714307264 7071460896 14142921792