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14201312320 = 2651314232399
BaseRepresentation
bin11010011100111011…
…01101010001000000
31100122201021102011101
431032131231101000
5213041013443240
610305103224144
71011631106626
oct151635552100
940581242141
1014201312320
1160282a8158
122903ba8054
1314542355b0
1498a11b516
15581b4b39a
hex34e76d440

14201312320 has 112 divisors (see below), whose sum is σ = 36458956800. Its totient is φ = 5237692416.

The previous prime is 14201312273. The next prime is 14201312387. The reversal of 14201312320 is 2321310241.

It is a happy number.

It is a super-2 number, since 2×142013123202 (a number of 21 digits) contains 22 as substring.

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, 5918481 + ... + 5920879.

It is an arithmetic number, because the mean of its divisors is an integer number (325526400).

Almost surely, 214201312320 is an apocalyptic number.

14201312320 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 14201312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229478400).

14201312320 is an abundant number, since it is smaller than the sum of its proper divisors (22257644480).

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

14201312320 is a wasteful number, since it uses less digits than its factorization.

14201312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14201312320 its reverse (2321310241), we get a palindrome (16522622561).

The spelling of 14201312320 in words is "fourteen billion, two hundred one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1423 2080 2399 2846 4160 4798 5692 7115 9596 11384 11995 14230 18499 19192 22768 23990 28460 31187 36998 38384 45536 47980 56920 62374 73996 76768 91072 92495 95960 113840 124748 147992 153536 155935 184990 191920 227680 249496 295984 311870 369980 383840 455360 498992 591968 623740 739960 767680 997984 1183936 1247480 1479920 1995968 2494960 2959840 3413777 4989920 5919680 6827554 9979840 13655108 17068885 27310216 34137770 44379101 54620432 68275540 88758202 109240864 136551080 177516404 218481728 221895505 273102160 355032808 443791010 546204320 710065616 887582020 1092408640 1420131232 1775164040 2840262464 3550328080 7100656160 14201312320