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114054426054 = 2353173103703
BaseRepresentation
bin110101000111000101…
…1000110110111000110
3101220101122112011100000
41222032023012313012
53332040413113204
6124221302102130
711145242424402
oct1521613066706
9356348464300
10114054426054
1144408828448
121a13071a946
13a9a849648a
14573d864102
152e7801e039
hex1a8e2c6dc6

114054426054 has 96 divisors (see below), whose sum is σ = 268163610624. Its totient is φ = 36287403840.

The previous prime is 114054425987. The next prime is 114054426061. The reversal of 114054426054 is 450624450411.

114054426054 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 4 + 42 + 605 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1047967 + ... + 1151669.

It is an arithmetic number, because the mean of its divisors is an integer number (2793370944).

Almost surely, 2114054426054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114054426054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134081805312).

114054426054 is an abundant number, since it is smaller than the sum of its proper divisors (154109184570).

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

114054426054 is a wasteful number, since it uses less digits than its factorization.

114054426054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103824 (or 103812 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 114054426054 its reverse (450624450411), we get a palindrome (564678876465).

The spelling of 114054426054 in words is "one hundred fourteen billion, fifty-four million, four hundred twenty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 81 93 146 162 186 219 243 279 438 486 558 657 837 1314 1674 1971 2263 2511 3942 4526 5022 5913 6789 7533 11826 13578 15066 17739 20367 35478 40734 61101 103703 122202 183303 207406 311109 366606 549909 622218 933327 1099818 1866654 2799981 3214793 5599962 6429586 7570319 8399943 9644379 15140638 16799886 19288758 22710957 25199829 28933137 45421914 50399658 57866274 68132871 86799411 136265742 173598822 204398613 234679889 260398233 408797226 469359778 520796466 613195839 704039667 781194699 1226391678 1408079334 1562389398 1839587517 2112119001 3679175034 4224238002 6336357003 12672714006 19009071009 38018142018 57027213027 114054426054