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14505286864016 = 24132932237106397
BaseRepresentation
bin1101001100010100011001…
…1110001000110010010000
31220100200200101022012000102
43103011012132020302100
53400123311414122031
650503345314111532
73024654350003564
oct323050636106220
956320611265012
1014505286864016
114692726312293
12176327b27b5a8
13812ac54ac310
143820b98a76a4
151a24b0c4e7cb
hexd3146788c90

14505286864016 has 80 divisors (see below), whose sum is σ = 30382996707504. Its totient is φ = 6668853614592.

The previous prime is 14505286863961. The next prime is 14505286864027. The reversal of 14505286864016 is 61046868250541.

It can be written as a sum of positive squares in 8 ways, for example, as 4587221568400 + 9918065295616 = 2141780^2 + 3149296^2 .

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, 136278530 + ... + 136384926.

Almost surely, 214505286864016 is an apocalyptic number.

14505286864016 is a gapful number since it is divisible by the number (16) 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 14505286864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191498353752).

14505286864016 is an abundant number, since it is smaller than the sum of its proper divisors (15877709843488).

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

14505286864016 is a wasteful number, since it uses less digits than its factorization.

14505286864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108948 (or 108942 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 14505286864016 in words is "fourteen trillion, five hundred five billion, two hundred eighty-six million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 293 586 1172 2237 2344 3809 4474 4688 7618 8948 15236 17896 29081 30472 35792 58162 60944 106397 116324 212794 232648 425588 465296 655441 851176 1310882 1383161 1702352 2621764 2766322 5243528 5532644 8520733 10487056 11065288 17041466 22130576 31174321 34082932 62348642 68165864 124697284 136331728 238010089 249394568 405266173 476020178 498789136 810532346 952040356 1621064692 1904080712 3094131157 3242129384 3808161424 6188262314 6484258768 12376524628 24753049256 49506098512 69736956077 139473912154 278947824308 557895648616 906580429001 1115791297232 1813160858002 3626321716004 7252643432008 14505286864016