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14357853104 = 247793175119
BaseRepresentation
bin11010101111100101…
…10111001110110000
31101001121211111202012
431113302313032300
5213401102244404
610332414342052
71015541511020
oct152762671660
941047744665
1014357853104
1160a86a7601
1229484ba928
13147a7b468a
149a2c29a80
1559076da6e
hex357cb73b0

14357853104 has 80 divisors (see below), whose sum is σ = 32302694400. Its totient is φ = 6055126272.

The previous prime is 14357853089. The next prime is 14357853113. The reversal of 14357853104 is 40135875341.

It is a super-2 number, since 2×143578531042 (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, 2802257 + ... + 2807375.

It is an arithmetic number, because the mean of its divisors is an integer number (403783680).

Almost surely, 214357853104 is an apocalyptic number.

14357853104 is a gapful number since it is divisible by the number (14) 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 14357853104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151347200).

14357853104 is an abundant number, since it is smaller than the sum of its proper divisors (17944841296).

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

14357853104 is a wasteful number, since it uses less digits than its factorization.

14357853104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 14357853104 in words is "fourteen billion, three hundred fifty-seven million, eight hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 317 553 632 634 1106 1264 1268 2212 2219 2536 4424 4438 5072 5119 8848 8876 10238 17752 20476 25043 35504 35833 40952 50086 71666 81904 100172 143332 175301 200344 286664 350602 400688 404401 573328 701204 808802 1402408 1617604 1622723 2804816 2830807 3235208 3245446 5661614 6470416 6490892 11323228 11359061 12981784 22646456 22718122 25963568 45292912 45436244 90872488 128195117 181744976 256390234 512780468 897365819 1025560936 1794731638 2051121872 3589463276 7178926552 14357853104