Search a number
-
+
14545616001504 = 253725398525113
BaseRepresentation
bin1101001110101010101001…
…0001100101100111100000
31220111112202222200122021020
43103222222101211213200
53401303410144022004
650534055211325440
73030612632011110
oct323525221454740
956445688618236
1014545616001504
1146a8841036185
12176b055450880
138168517c1b93
14384023a71040
151a357159d8d9
hexd3aaa4659e0

14545616001504 has 96 divisors (see below), whose sum is σ = 43654039752960. Its totient is φ = 4154252977152.

The previous prime is 14545616001491. The next prime is 14545616001569. The reversal of 14545616001504 is 40510061654541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556349 + ... + 5968764.

It is an arithmetic number, because the mean of its divisors is an integer number (454729580760).

Almost surely, 214545616001504 is an apocalyptic number.

14545616001504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14545616001504 is an abundant number, since it is smaller than the sum of its proper divisors (29108423751456).

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

14545616001504 is a wasteful number, since it uses less digits than its factorization.

14545616001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527672 (or 8527664 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 14545616001504 in words is "fourteen trillion, five hundred forty-five billion, six hundred sixteen million, one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2539 5078 7617 10156 15234 17773 20312 30468 35546 40624 53319 60936 71092 81248 106638 121872 142184 213276 243744 284368 426552 568736 853104 1706208 8525113 17050226 25575339 34100452 51150678 59675791 68200904 102301356 119351582 136401808 179027373 204602712 238703164 272803616 358054746 409205424 477406328 716109492 818410848 954812656 1432218984 1909625312 2864437968 5728875936 21645261907 43290523814 64935785721 86581047628 129871571442 151516833349 173162095256 259743142884 303033666698 346324190512 454550500047 519486285768 606067333396 692648381024 909101000094 1038972571536 1212134666792 1818202000188 2077945143072 2424269333584 3636404000376 4848538667168 7272808000752 14545616001504