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14345918496 = 2532713547387
BaseRepresentation
bin11010101110001010…
…10101100000100000
31101000210101011112200
431113011111200200
5213340023342441
610331310453200
71015335203160
oct152705254040
941023334480
1014345918496
1160a1995998
122944504200
131478196390
149a14005a0
1558e6b27b6
hex357155820

14345918496 has 144 divisors (see below), whose sum is σ = 50210806464. Its totient is φ = 3783532032.

The previous prime is 14345918443. The next prime is 14345918513. The reversal of 14345918496 is 69481954341.

14345918496 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 591 + 8 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247486 + ... + 299901.

It is an arithmetic number, because the mean of its divisors is an integer number (348686156).

Almost surely, 214345918496 is an apocalyptic number.

14345918496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14345918496 is an abundant number, since it is smaller than the sum of its proper divisors (35864887968).

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

14345918496 is a wasteful number, since it uses less digits than its factorization.

14345918496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547423 (or 547412 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 14345918496 in words is "fourteen billion, three hundred forty-five million, nine hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 547387 1094774 1642161 2189548 3284322 3831709 4379096 4926483 6568644 7116031 7663418 8758192 9852966 11495127 13137288 14232062 15326836 17516384 19705932 21348093 22990254 26274576 28464124 30653672 34485381 39411864 42696186 45980508 49812217 52549152 56928248 61307344 64044279 68970762 78823728 85392372 91961016 99624434 113856496 122614688 128088558 137941524 149436651 157647456 170784744 183922032 199248868 227712992 256177116 275883048 298873302 341569488 367844064 398497736 448309953 512354232 551766096 597746604 683138976 796995472 896619906 1024708464 1103532192 1195493208 1593990944 1793239812 2049416928 2390986416 3586479624 4781972832 7172959248 14345918496