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14086906368 = 29329521607
BaseRepresentation
bin11010001111010010…
…10010001000000000
31100100201222222200220
431013221102020000
5212322222000433
610245455143040
71006041504603
oct150751221000
940321888626
1014086906368
115a79767287
122891814a80
131436619972
14978c5a33a
15576a9d2b3
hex347a52200

14086906368 has 160 divisors (see below), whose sum is σ = 38961077760. Its totient is φ = 4517560320.

The previous prime is 14086906349. The next prime is 14086906369. The reversal of 14086906368 is 86360968041.

It is a self number, because there is not a number n which added to its sum of digits gives 14086906368.

It is not an unprimeable number, because it can be changed into a prime (14086906369) 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, 23207121 + ... + 23207727.

It is an arithmetic number, because the mean of its divisors is an integer number (243506736).

Almost surely, 214086906368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14086906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480538880).

14086906368 is an abundant number, since it is smaller than the sum of its proper divisors (24874171392).

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

14086906368 is an equidigital number, since it uses as much as digits as its factorization.

14086906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 14086906368 in words is "fourteen billion, eighty-six million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 521 607 696 768 928 1042 1214 1392 1536 1563 1821 1856 2084 2428 2784 3126 3642 3712 4168 4856 5568 6252 7284 7424 8336 9712 11136 12504 14568 14848 15109 16672 17603 19424 22272 25008 29136 30218 33344 35206 38848 44544 45327 50016 52809 58272 60436 66688 70412 77696 90654 100032 105618 116544 120872 133376 140824 155392 181308 200064 211236 233088 241744 266752 281648 310784 316247 362616 400128 422472 466176 483488 563296 632494 725232 800256 844944 932352 948741 966976 1126592 1264988 1450464 1689888 1897482 1933952 2253184 2529976 2900928 3379776 3794964 3867904 4506368 5059952 5801856 6759552 7589928 7735808 9012736 9171163 10119904 11603712 13519104 15179856 18342326 20239808 23207424 27038208 27513489 30359712 36684652 40479616 55026978 60719424 73369304 80959232 110053956 121438848 146738608 161918464 220107912 242877696 293477216 440215824 485755392 586954432 880431648 1173908864 1760863296 2347817728 3521726592 4695635456 7043453184 14086906368