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12440240325 = 32523110511697
BaseRepresentation
bin10111001010111111…
…10000000011000101
31012002222111200112200
423211133300003011
5200434200142300
65414233305113
7620165204142
oct134537600305
935088450480
1012440240325
115304211757
1224b2265199
131233425166
148602993c9
154cc232200
hex2e57f00c5

12440240325 has 72 divisors (see below), whose sum is σ = 23036073216. Its totient is φ = 6410880000.

The previous prime is 12440240303. The next prime is 12440240327. The reversal of 12440240325 is 52304204421.

12440240325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12440240325 - 212 = 12440236229 is a prime.

It is a super-2 number, since 2×124402403252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440240327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7329877 + ... + 7331573.

Almost surely, 212440240325 is an apocalyptic number.

12440240325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12440240325 is a deficient number, since it is larger than the sum of its proper divisors (10595832891).

12440240325 is a wasteful number, since it uses less digits than its factorization.

12440240325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12440240325 its reverse (52304204421), we get a palindrome (64744444746).

The spelling of 12440240325 in words is "twelve billion, four hundred forty million, two hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 1051 1395 1697 2325 3153 5091 5255 6975 8485 9459 15273 15765 25455 26275 32581 42425 47295 52607 76365 78825 97743 127275 157821 162905 236475 263035 293229 381825 473463 488715 789105 814525 1315175 1466145 1783547 2367315 2443575 3945525 5350641 7330725 8917735 11836575 16051923 26753205 44588675 55289957 80259615 133766025 165869871 276449785 401298075 497609613 829349355 1382248925 2488048065 4146746775 12440240325