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12404142330 = 2353771157393
BaseRepresentation
bin10111000110101100…
…00011000011111010
31012000110120201101220
423203112003003322
5200400430023310
65410503452510
7616246320156
oct134326030372
935013521356
1012404142330
1152958a67a8
1224a2157136
131228ac66b8
14859580066
154c8ea1670
hex2e35830fa

12404142330 has 64 divisors (see below), whose sum is σ = 31005358848. Its totient is φ = 3173022720.

The previous prime is 12404142301. The next prime is 12404142347. The reversal of 12404142330 is 3324140421.

12404142330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12404142330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114 + ... + 157506.

It is an arithmetic number, because the mean of its divisors is an integer number (484458732).

Almost surely, 212404142330 is an apocalyptic number.

12404142330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502679424).

12404142330 is an abundant number, since it is smaller than the sum of its proper divisors (18601216518).

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

12404142330 is a wasteful number, since it uses less digits than its factorization.

12404142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157511.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12404142330 its reverse (3324140421), we get a palindrome (15728282751).

The spelling of 12404142330 in words is "twelve billion, four hundred four million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 71 74 111 142 185 213 222 355 370 426 555 710 1065 1110 2130 2627 5254 7881 13135 15762 26270 39405 78810 157393 314786 472179 786965 944358 1573930 2360895 4721790 5823541 11174903 11647082 17470623 22349806 29117705 33524709 34941246 55874515 58235410 67049418 87353115 111749030 167623545 174706230 335247090 413471411 826942822 1240414233 2067357055 2480828466 4134714110 6202071165 12404142330