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13227146240 = 210572114793
BaseRepresentation
bin11000101000110011…
…00011110000000000
31021010211012122112012
430110121203300000
5204042122134430
610024303352052
7645531613400
oct142431436000
937124178465
1013227146240
115678419820
1226918b2628
13132a472069
148d69b6800
1552636e695
hex314663c00

13227146240 has 264 divisors, whose sum is σ = 40273857072. Its totient is φ = 4121886720.

The previous prime is 13227146237. The next prime is 13227146263. The reversal of 13227146240 is 4264172231.

It is a super-2 number, since 2×132271462402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13227146197 and 13227146206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757284 + ... + 2762076.

Almost surely, 213227146240 is an apocalyptic number.

13227146240 is a gapful number since it is divisible by the number (10) 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 13227146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136928536).

13227146240 is an abundant number, since it is smaller than the sum of its proper divisors (27046710832).

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

13227146240 is a wasteful number, since it uses less digits than its factorization.

13227146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 13227146240 in words is "thirteen billion, two hundred twenty-seven million, one hundred forty-six thousand, two hundred forty".