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14224896336 = 2437175034951
BaseRepresentation
bin11010011111101111…
…01011000101010000
31100201100122121100110
431033313223011100
5213113033140321
610311304521320
71012335423660
oct151767530520
940640577313
1014224896336
11603a646182
12290ba80240
1314590a2131
1498d2da1a0
15583c59176
hex34fdeb150

14224896336 has 160 divisors (see below), whose sum is σ = 44565147648. Its totient is φ = 3816806400.

The previous prime is 14224896311. The next prime is 14224896337. The reversal of 14224896336 is 63369842241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224896337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2870661 + ... + 2875611.

Almost surely, 214224896336 is an apocalyptic number.

14224896336 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 14224896336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282573824).

14224896336 is an abundant number, since it is smaller than the sum of its proper divisors (30340251312).

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

14224896336 is a wasteful number, since it uses less digits than its factorization.

14224896336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5483 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 14224896336 in words is "fourteen billion, two hundred twenty-four million, eight hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 503 714 816 952 1006 1428 1509 1904 2012 2856 3018 3521 4024 4951 5712 6036 7042 8048 8551 9902 10563 12072 14084 14853 17102 19804 21126 24144 25653 28168 29706 34204 34657 39608 42252 51306 56336 59412 59857 68408 69314 79216 84167 84504 102612 103971 118824 119714 136816 138628 168334 169008 179571 205224 207942 237648 239428 252501 277256 336668 359142 410448 415884 478856 505002 554512 589169 673336 718284 831768 957712 1010004 1178338 1346672 1436568 1663536 1767507 2020008 2356676 2490353 2873136 3535014 4040016 4713352 4980706 7070028 7471059 9426704 9961412 14140056 14942118 17432471 19922824 28280112 29884236 34864942 39845648 42336001 52297413 59768472 69729884 84672002 104594826 119536944 127008003 139459768 169344004 209189652 254016006 278919536 296352007 338688008 418379304 508032012 592704014 677376016 836758608 889056021 1016064024 1185408028 1778112042 2032128048 2370816056 3556224084 4741632112 7112448168 14224896336