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12144431430 = 2325711900537
BaseRepresentation
bin10110100111101110…
…10101000101000110
31011100100220001000200
423103313111011012
5144332433301210
65325025151330
7606643651425
oct132367250506
934310801020
1012144431430
11517224009a
12242b18b546
1311b7063c01
14832c972bc
154b12a00c0
hex2d3dd5146

12144431430 has 48 divisors (see below), whose sum is σ = 32020264224. Its totient is φ = 3192900480.

The previous prime is 12144431407. The next prime is 12144431447. The reversal of 12144431430 is 3413444121.

12144431430 is a `hidden beast` number, since 1 + 214 + 443 + 1 + 4 + 3 + 0 = 666.

It is a super-4 number, since 4×121444314304 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12144431394 and 12144431403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943879 + ... + 956658.

It is an arithmetic number, because the mean of its divisors is an integer number (667088838).

Almost surely, 212144431430 is an apocalyptic number.

12144431430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144431430 is an abundant number, since it is smaller than the sum of its proper divisors (19875832794).

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

12144431430 is a wasteful number, since it uses less digits than its factorization.

12144431430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900621 (or 1900618 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12144431430 its reverse (3413444121), we get a palindrome (15557875551).

The spelling of 12144431430 in words is "twelve billion, one hundred forty-four million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 1900537 3801074 5701611 9502685 11403222 17104833 19005370 28508055 34209666 57016110 85524165 134938127 171048330 269876254 404814381 674690635 809628762 1214443143 1349381270 2024071905 2428886286 4048143810 6072215715 12144431430