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14534402025 = 35211213177247
BaseRepresentation
bin11011000100101000…
…10101111111101001
31101111221001010100010
431202110111333221
5214231301331100
610402122402133
71023114243633
oct154224257751
941457033303
1014534402025
116189322400
122997660349
1314a824a7b0
149bc465a53
155a0ee4750
hex362515fe9

14534402025 has 144 divisors (see below), whose sum is σ = 30122572032. Its totient is φ = 6121420800.

The previous prime is 14534402021. The next prime is 14534402027. The reversal of 14534402025 is 52020443541.

It is not a de Polignac number, because 14534402025 - 22 = 14534402021 is a prime.

It is a super-2 number, since 2×145344020252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14534401983 and 14534402001.

It is not an unprimeable number, because it can be changed into a prime (14534402021) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2001952 + ... + 2009198.

It is an arithmetic number, because the mean of its divisors is an integer number (209184528).

Almost surely, 214534402025 is an apocalyptic number.

14534402025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14534402025 is an abundant number, since it is smaller than the sum of its proper divisors (15588170007).

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

14534402025 is a wasteful number, since it uses less digits than its factorization.

14534402025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 14534402025 its reverse (52020443541), we get a palindrome (66554845566).

The spelling of 14534402025 in words is "fourteen billion, five hundred thirty-four million, four hundred two thousand, twenty-five".

Divisors: 1 3 5 11 13 15 17 25 33 39 51 55 65 75 85 121 143 165 187 195 221 255 275 325 363 425 429 561 605 663 715 825 935 975 1105 1275 1573 1815 2057 2145 2431 2805 3025 3315 3575 4675 4719 5525 6171 7247 7293 7865 9075 10285 10725 12155 14025 16575 21741 23595 26741 30855 36235 36465 39325 51425 60775 79717 80223 94211 108705 117975 123199 133705 154275 181175 182325 239151 282633 369597 398585 401115 471055 543525 615995 668525 876887 1036321 1195755 1355189 1413165 1601587 1847985 1992925 2005575 2355275 2630661 3079975 3108963 4065567 4384435 4804761 5181605 5978775 6775945 7065825 8007935 9239925 11399531 13153305 14907079 15544815 17617457 20327835 21922175 24023805 25908025 33879725 34198593 40039675 44721237 52852371 56997655 65766525 74535395 77724075 88087285 101639175 120119025 170992965 193792027 223606185 264261855 284988275 372676975 440436425 581376081 854964825 968960135 1118030925 1321309275 2906880405 4844800675 14534402025