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14451632104 = 2371321980369
BaseRepresentation
bin11010111010110001…
…00110011111101000
31101022011021222100111
431131120212133220
5214044104211404
610350004344104
71021060563130
oct153530463750
941264258314
1014451632104
11614662a108
1229739a5034
13149405a700
149b147bac0
15598ae5104
hex35d6267e8

14451632104 has 96 divisors (see below), whose sum is σ = 35298504000. Its totient is φ = 5416160256.

The previous prime is 14451632053. The next prime is 14451632141. The reversal of 14451632104 is 40123615441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139632 + ... + 220000.

It is an arithmetic number, because the mean of its divisors is an integer number (367692750).

Almost surely, 214451632104 is an apocalyptic number.

14451632104 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 14451632104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649252000).

14451632104 is an abundant number, since it is smaller than the sum of its proper divisors (20846871896).

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

14451632104 is a wasteful number, since it uses less digits than its factorization.

14451632104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80427 (or 80410 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 14451632104 in words is "fourteen billion, four hundred fifty-one million, six hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 169 182 247 266 338 364 494 532 676 728 988 1064 1183 1352 1729 1976 2366 3211 3458 4732 6422 6916 9464 12844 13832 22477 25688 44954 80369 89908 160738 179816 321476 562583 642952 1044797 1125166 1527011 2089594 2250332 3054022 4179188 4500664 6108044 7313579 8358376 10689077 12216088 13582361 14627158 19851143 21378154 27164722 29254316 39702286 42756308 54329444 58508632 79404572 85512616 95076527 108658888 138958001 158809144 190153054 258064859 277916002 380306108 516129718 555832004 760612216 1032259436 1111664008 1806454013 2064518872 3612908026 7225816052 14451632104