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14313331424 = 2571723915727
BaseRepresentation
bin11010101010010010…
…00001101011100000
31100221112001120111002
431111021001223200
5213303203101144
610324144211132
71014461211140
oct152511015340
940845046432
1014313331424
116085558827
122935609aa8
1314714c69a2
1499ad5a920
1558b8c714e
hex355241ae0

14313331424 has 96 divisors (see below), whose sum is σ = 34244259840. Its totient is φ = 5748922368.

The previous prime is 14313331381. The next prime is 14313331447. The reversal of 14313331424 is 42413331341.

It is a happy number.

It is a congruent number.

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, 902249 + ... + 917975.

It is an arithmetic number, because the mean of its divisors is an integer number (356711040).

Almost surely, 214313331424 is an apocalyptic number.

14313331424 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 14313331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122129920).

14313331424 is an abundant number, since it is smaller than the sum of its proper divisors (19930928416).

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

14313331424 is a wasteful number, since it uses less digits than its factorization.

14313331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000 (or 15992 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 14313331424 its reverse (42413331341), we get a palindrome (56726662765).

The spelling of 14313331424 in words is "fourteen billion, three hundred thirteen million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 239 272 476 478 544 952 956 1673 1904 1912 3346 3808 3824 4063 6692 7648 8126 13384 15727 16252 26768 28441 31454 32504 53536 56882 62908 65008 110089 113764 125816 130016 220178 227528 251632 267359 440356 455056 503264 534718 880712 910112 1069436 1761424 1871513 2138872 3522848 3743026 3758753 4277744 7486052 7517506 8555488 14972104 15035012 26311271 29944208 30070024 52622542 59888416 60140048 63898801 105245084 120280096 127797602 210490168 255595204 420980336 447291607 511190408 841960672 894583214 1022380816 1789166428 2044761632 3578332856 7156665712 14313331424