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14004028896 = 2531121392737
BaseRepresentation
bin11010000101011010…
…01000010111100000
31100010222001101011220
431002231020113200
5212140012411041
610233334535040
71004014165404
oct150255102740
940128041156
1014004028896
115a36a00200
122869b07480
1314223bc940
1496bc45104
1556e67bd66
hex342b485e0

14004028896 has 144 divisors (see below), whose sum is σ = 43514895312. Its totient is φ = 3917168640.

The previous prime is 14004028891. The next prime is 14004028937. The reversal of 14004028896 is 69882040041.

It is a super-2 number, since 2×140040288962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004028891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104640 + ... + 197376.

It is an arithmetic number, because the mean of its divisors is an integer number (302186773).

Almost surely, 214004028896 is an apocalyptic number.

14004028896 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 14004028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757447656).

14004028896 is an abundant number, since it is smaller than the sum of its proper divisors (29510866416).

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

14004028896 is a wasteful number, since it uses less digits than its factorization.

14004028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92785 (or 92766 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14004028896 in words is "fourteen billion, four million, twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 9438 11616 12584 13728 18876 25168 37752 50336 75504 92737 151008 185474 278211 370948 556422 741896 1020107 1112844 1205581 1483792 2040214 2225688 2411162 2967584 3060321 3616743 4080428 4451376 4822324 6120642 7233486 8160856 8902752 9644648 11221177 12241284 13261391 14466972 16321712 19289296 22442354 24482568 26522782 28933944 32643424 33663531 38578592 39784173 44884708 48965136 53045564 57867888 67327062 79568346 89769416 97930272 106091128 115735776 134654124 145875301 159136692 179538832 212182256 269308248 291750602 318273384 359077664 424364512 437625903 538616496 583501204 636546768 875251806 1077232992 1167002408 1273093536 1750503612 2334004816 3501007224 4668009632 7002014448 14004028896