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12414400600 = 235278867429
BaseRepresentation
bin10111000111111010…
…01011100001011000
31012001011212220002211
423203331023201120
5200411041304400
65411511404504
7616432443520
oct134375134130
935034786084
1012414400600
1152a0672a08
1224a5683734
13122ac78994
1485aa90680
154c9d2adba
hex2e3f4b858

12414400600 has 48 divisors (see below), whose sum is σ = 32986839600. Its totient is φ = 4256365440.

The previous prime is 12414400597. The next prime is 12414400667. The reversal of 12414400600 is 600441421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4432315 + ... + 4435114.

It is an arithmetic number, because the mean of its divisors is an integer number (687225825).

Almost surely, 212414400600 is an apocalyptic number.

12414400600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414400600 is an abundant number, since it is smaller than the sum of its proper divisors (20572439000).

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

12414400600 is a wasteful number, since it uses less digits than its factorization.

12414400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867452 (or 8867443 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 12414400600 in words is "twelve billion, four hundred fourteen million, four hundred thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8867429 17734858 35469716 44337145 62072003 70939432 88674290 124144006 177348580 221685725 248288012 310360015 354697160 443371450 496576024 620720030 886742900 1241440060 1551800075 1773485800 2482880120 3103600150 6207200300 12414400600