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14286137747024 = 24111330832025281
BaseRepresentation
bin1100111111100100000000…
…1010100110011001010000
31212120202000111120120022202
43033321000022212121100
53333031002230401044
650214543332022332
73003065545152263
oct317710012463120
955522014516282
1014286137747024
114608798357070
1217288ba7619a8
137c823bb726b0
1437564a512cda
1519b9365d7c4e
hexcfe402a6650

14286137747024 has 80 divisors (see below), whose sum is σ = 32529010135104. Its totient is φ = 5992236441600.

The previous prime is 14286137746973. The next prime is 14286137747033. The reversal of 14286137747024 is 42074773168241.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6041264 + ... + 8066544.

Almost surely, 214286137747024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14286137747024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264505067552).

14286137747024 is an abundant number, since it is smaller than the sum of its proper divisors (18242872388080).

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

14286137747024 is a wasteful number, since it uses less digits than its factorization.

14286137747024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028396 (or 2028390 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 14286137747024 in words is "fourteen trillion, two hundred eighty-six billion, one hundred thirty-seven million, seven hundred forty-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 3083 6166 12332 24664 33913 40079 49328 67826 80158 135652 160316 271304 320632 440869 542608 641264 881738 1763476 2025281 3526952 4050562 7053904 8101124 16202248 22278091 26328653 32404496 44556182 52657306 89112364 105314612 178224728 210629224 289615183 356449456 421258448 579230366 1158460732 2316921464 4633842928 6243941323 12487882646 24975765292 49951530584 68683354553 81171237199 99903061168 137366709106 162342474398 274733418212 324684948796 549466836424 649369897592 892883609189 1098933672848 1298739795184 1785767218378 3571534436756 7143068873512 14286137747024