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14415122400225 = 3524142111135023
BaseRepresentation
bin1101000111000100100001…
…0000000000001111100001
31220001001221122221211222120
43101301020100000033201
53342134132313301400
650354114340454453
73015313112500011
oct321611020001741
956031848854876
1014415122400225
114658467880108
1217498b73aa429
138074565958b1
1437b9a4bd7c41
1519ee85237ca0
hexd1c484003e1

14415122400225 has 48 divisors (see below), whose sum is σ = 24472288506624. Its totient is φ = 7482734784000.

The previous prime is 14415122400167. The next prime is 14415122400247. The reversal of 14415122400225 is 52200422151441.

It is not a de Polignac number, because 14415122400225 - 27 = 14415122400097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4272937 + ... + 6862086.

It is an arithmetic number, because the mean of its divisors is an integer number (509839343888).

Almost surely, 214415122400225 is an apocalyptic number.

14415122400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14415122400225 is a deficient number, since it is larger than the sum of its proper divisors (10057166106399).

14415122400225 is a wasteful number, since it uses less digits than its factorization.

14415122400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135498 (or 11135493 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 14415122400225 its reverse (52200422151441), we get a palindrome (66615544551666).

The spelling of 14415122400225 in words is "fourteen trillion, four hundred fifteen billion, one hundred twenty-two million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 205 421 615 1025 1263 2105 3075 6315 10525 17261 31575 51783 86305 258915 431525 1294575 11135023 33405069 55675115 167025345 278375575 456535943 835126725 1369607829 2282679715 4687844683 6848039145 11413398575 14063534049 23439223415 34240195725 70317670245 117196117075 192201632003 351588351225 576604896009 961008160015 2883024480045 4805040800075 14415122400225