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12415071752240 = 245312989495827
BaseRepresentation
bin1011010010101001101111…
…1100010001000000110000
31121221212110200210211001012
42310222123330101000300
53111402031332032430
642223223310130052
72420650023465113
oct264523374210060
947855420724035
1012415071752240
113a57225386793
12148615a4b0928
136c09756aa201
1430cc6d72257a
15167e27aa3695
hexb4a9bf11030

12415071752240 has 40 divisors (see below), whose sum is σ = 28865192263920. Its totient is φ = 4966002818816.

The previous prime is 12415071752233. The next prime is 12415071752249. The reversal of 12415071752240 is 4225717051421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124150717522402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12415071752249) 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 7 ways as a sum of consecutive naturals, for example, 24791207 + ... + 25287033.

It is an arithmetic number, because the mean of its divisors is an integer number (721629806598).

Almost surely, 212415071752240 is an apocalyptic number.

12415071752240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12415071752240 is an abundant number, since it is smaller than the sum of its proper divisors (16450120511680).

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

12415071752240 is a wasteful number, since it uses less digits than its factorization.

12415071752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808829 (or 808823 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 12415071752240 in words is "twelve trillion, four hundred fifteen billion, seventy-one million, seven hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 312989 495827 625978 991654 1251956 1564945 1983308 2479135 2503912 3129890 3966616 4958270 5007824 6259780 7933232 9916540 12519560 19833080 25039120 39666160 155188396903 310376793806 620753587612 775941984515 1241507175224 1551883969030 2483014350448 3103767938060 6207535876120 12415071752240