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14249735376 = 24317232772741
BaseRepresentation
bin11010100010101100…
…11011010011010000
31100210002101120002220
431101112123103100
5213140413013001
610313553141040
71013056516002
oct152126332320
940702346086
1014249735376
116052671108
12291825a780
13146128aca6
14992724372
15586013c36
hex35159b4d0

14249735376 has 160 divisors (see below), whose sum is σ = 40833600768. Its totient is φ = 4259143680.

The previous prime is 14249735369. The next prime is 14249735377. The reversal of 14249735376 is 67353794241.

It is a super-2 number, since 2×142497353762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14249735377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5197366 + ... + 5200106.

Almost surely, 214249735376 is an apocalyptic number.

14249735376 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 14249735376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416800384).

14249735376 is an abundant number, since it is smaller than the sum of its proper divisors (26583865392).

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

14249735376 is a wasteful number, since it uses less digits than its factorization.

14249735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3063 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The spelling of 14249735376 in words is "fourteen billion, two hundred forty-nine million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 277 368 391 408 552 554 782 816 831 1104 1108 1173 1564 1662 2216 2346 2741 3128 3324 4432 4692 4709 5482 6256 6371 6648 8223 9384 9418 10964 12742 13296 14127 16446 18768 18836 19113 21928 25484 28254 32892 37672 38226 43856 46597 50968 56508 63043 65784 75344 76452 93194 101936 108307 113016 126086 131568 139791 152904 186388 189129 216614 226032 252172 279582 305808 324921 372776 378258 433228 504344 559164 649842 745552 756516 759257 866456 1008688 1071731 1118328 1299684 1513032 1518514 1732912 2143462 2236656 2277771 2599368 3026064 3037028 3215193 4286924 4555542 5198736 6074056 6430386 8573848 9111084 12148112 12860772 12907369 17147696 17462911 18222168 25721544 25814738 34925822 36444336 38722107 51443088 51629476 52388733 69851644 77444214 103258952 104777466 139703288 154888428 206517904 209554932 279406576 296869487 309776856 419109864 593738974 619553712 838219728 890608461 1187477948 1781216922 2374955896 3562433844 4749911792 7124867688 14249735376