Search a number
-
+
14100224096 = 257294746183
BaseRepresentation
bin11010010000111000…
…00101100001100000
31100101200001121012002
431020130011201200
5212334124132341
610251052423132
71006262633030
oct151034054140
940350047162
1014100224096
115a86233072
122896177aa8
13143930068a
1497a9258c0
15577d2e29b
hex348705860

14100224096 has 96 divisors (see below), whose sum is σ = 33518499840. Its totient is φ = 5710311936.

The previous prime is 14100224093. The next prime is 14100224111. The reversal of 14100224096 is 69042200141.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100224093) 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, 282221 + ... + 328403.

It is an arithmetic number, because the mean of its divisors is an integer number (349151040).

Almost surely, 214100224096 is an apocalyptic number.

14100224096 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 14100224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759249920).

14100224096 is an abundant number, since it is smaller than the sum of its proper divisors (19418275744).

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

14100224096 is a wasteful number, since it uses less digits than its factorization.

14100224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46276 (or 46268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 14100224096 in words is "fourteen billion, one hundred million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 47 56 58 94 112 116 188 203 224 232 329 376 406 464 658 752 812 928 1316 1363 1504 1624 2632 2726 3248 5264 5452 6496 9541 10528 10904 19082 21808 38164 43616 46183 76328 92366 152656 184732 305312 323281 369464 646562 738928 1293124 1339307 1477856 2170601 2586248 2678614 4341202 5172496 5357228 8682404 9375149 10344992 10714456 15194207 17364808 18750298 21428912 30388414 34729616 37500596 42857824 60776828 62947429 69459232 75001192 121553656 125894858 150002384 243107312 251789716 300004768 440632003 486214624 503579432 881264006 1007158864 1762528012 2014317728 3525056024 7050112048 14100224096