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14318340504012 = 2234435449188609
BaseRepresentation
bin1101000001011011111110…
…0110010111100111001100
31212200211010202202010020000
43100112333212113213030
53334042430132112022
650241431012524300
73005315553112206
oct320267746274714
955624122663200
1014318340504012
114620412a33016
121732ba7320690
137cb2a16c2c9c
14377023315776
1519c6bd7c56ac
hexd05bf9979cc

14318340504012 has 120 divisors (see below), whose sum is σ = 38308690266000. Its totient is φ = 4660905037824.

The previous prime is 14318340504001. The next prime is 14318340504037. The reversal of 14318340504012 is 21040504381341.

14318340504012 is a `hidden beast` number, since 1 + 4 + 31 + 83 + 40 + 504 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×143183405040122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75821164 + ... + 76009772.

It is an arithmetic number, because the mean of its divisors is an integer number (319239085550).

Almost surely, 214318340504012 is an apocalyptic number.

14318340504012 is a gapful number since it is divisible by the number (12) 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 14318340504012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154345133000).

14318340504012 is an abundant number, since it is smaller than the sum of its proper divisors (23990349761988).

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

14318340504012 is a wasteful number, since it uses less digits than its factorization.

14318340504012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194117 (or 194106 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 14318340504012 its reverse (21040504381341), we get a palindrome (35358844885353).

The spelling of 14318340504012 in words is "fourteen trillion, three hundred eighteen billion, three hundred forty million, five hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 5449 6966 10898 13932 16347 21796 32694 49041 65388 98082 147123 188609 196164 234307 294246 377218 441369 468614 565827 588492 702921 754436 882738 937228 1131654 1405842 1697481 1765476 2108763 2263308 2811684 3394962 4217526 5092443 6326289 6789924 8110187 8435052 10184886 12652578 15277329 16220374 18978867 20369772 24330561 25305156 30554658 32440748 37957734 48661122 61109316 72991683 75915468 97322244 145983366 218975049 291966732 437950098 656925147 875900196 1027730441 1313850294 2055460882 2627700588 3083191323 4110921764 6166382646 9249573969 12332765292 18499147938 27748721907 36998295876 44192408963 55497443814 83246165721 88384817926 110994887628 132577226889 166492331442 176769635852 265154453778 332984662884 397731680667 530308907556 795463361334 1193195042001 1590926722668 2386390084002 3579585126003 4772780168004 7159170252006 14318340504012