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12142578294 = 237711311163
BaseRepresentation
bin10110100111100000…
…10000101001110110
31011100020101220000000
423103300100221312
5144332000001134
65324521332130
7606622132620
oct132360205166
934306356000
1012142578294
115171194880
12242a637046
1311b6865592
14832933c10
154b1035e99
hex2d3c10a76

12142578294 has 256 divisors, whose sum is σ = 35185950720. Its totient is φ = 3049552800.

The previous prime is 12142578289. The next prime is 12142578353. The reversal of 12142578294 is 49287524121.

12142578294 is a `hidden beast` number, since 12 + 1 + 42 + 578 + 29 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10440157 + ... + 10441319.

It is an arithmetic number, because the mean of its divisors is an integer number (137445120).

Almost surely, 212142578294 is an apocalyptic number.

12142578294 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 12142578294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592975360).

12142578294 is an abundant number, since it is smaller than the sum of its proper divisors (23043372426).

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

12142578294 is a wasteful number, since it uses less digits than its factorization.

12142578294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1217 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12142578294 in words is "twelve billion, one hundred forty-two million, five hundred seventy-eight thousand, two hundred ninety-four".