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12271239414 = 2327198361757
BaseRepresentation
bin10110110110110110…
…00100000011110110
31011200012111112212200
423123123010003312
5200112414130124
65345355125330
7613043546130
oct133333040366
934605445780
1012271239414
115227881885
122465743846
131207402815
14845a66050
154bc49cbc9
hex2db6c40f6

12271239414 has 96 divisors (see below), whose sum is σ = 32371073280. Its totient is φ = 3281466816.

The previous prime is 12271239401. The next prime is 12271239419. The reversal of 12271239414 is 41493217221.

12271239414 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 1 + 239 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271239419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167824 + ... + 229580.

It is an arithmetic number, because the mean of its divisors is an integer number (337198680).

Almost surely, 212271239414 is an apocalyptic number.

12271239414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12271239414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185536640).

12271239414 is an abundant number, since it is smaller than the sum of its proper divisors (20099833866).

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

12271239414 is a wasteful number, since it uses less digits than its factorization.

12271239414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61874 (or 61871 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 12271239414 in words is "twelve billion, two hundred seventy-one million, two hundred thirty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 249 266 342 399 498 581 747 798 1162 1197 1494 1577 1743 2394 3154 3486 4731 5229 9462 10458 11039 14193 22078 28386 33117 61757 66234 99351 123514 185271 198702 370542 432299 555813 864598 1111626 1173383 1296897 2346766 2593794 3520149 3890691 5125831 7040298 7781382 8213681 10251662 10560447 15377493 16427362 21120894 24641043 30754986 35880817 46132479 49282086 71761634 73923129 92264958 97390789 107642451 147846258 194781578 215284902 292172367 322927353 584344734 645854706 681735523 876517101 1363471046 1753034202 2045206569 4090413138 6135619707 12271239414