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12414315452 = 22711397101527
BaseRepresentation
bin10111000111111001…
…10110101110111100
31012001011201120022012
423203330312232330
5200411031043302
65411505510352
7616431640340
oct134374665674
935034646265
1012414315452
1152a0614a40
1224a56423b8
13122ac48cb6
1485aa6b620
154c9d10a52
hex2e3f36bbc

12414315452 has 48 divisors (see below), whose sum is σ = 27154272768. Its totient is φ = 4824515520.

The previous prime is 12414315439. The next prime is 12414315457. The reversal of 12414315452 is 25451341421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414315457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71513 + ... + 173039.

It is an arithmetic number, because the mean of its divisors is an integer number (565714016).

Almost surely, 212414315452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414315452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577136384).

12414315452 is an abundant number, since it is smaller than the sum of its proper divisors (14739957316).

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

12414315452 is a wasteful number, since it uses less digits than its factorization.

12414315452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101946 (or 101944 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

Adding to 12414315452 its reverse (25451341421), we get a palindrome (37865656873).

The spelling of 12414315452 in words is "twelve billion, four hundred fourteen million, three hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 397 794 1588 2779 4367 5558 8734 11116 17468 30569 61138 101527 122276 203054 406108 710689 1116797 1421378 2233594 2842756 4467188 7817579 15635158 31270316 40306219 80612438 161224876 282143533 443368409 564287066 886736818 1128574132 1773473636 3103578863 6207157726 12414315452