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12144254340 = 2235316529169
BaseRepresentation
bin10110100111101101…
…01001110110000100
31011100100120001002210
423103312221312010
5144332412114330
65325021303420
7606642313221
oct132366516604
934310501083
1012144254340
11517212a039
12242b104b70
1311b700141a
14832c4c948
154b12678b0
hex2d3da9d84

12144254340 has 48 divisors (see below), whose sum is σ = 35100817920. Its totient is φ = 3134000640.

The previous prime is 12144254329. The next prime is 12144254393. The reversal of 12144254340 is 4345244121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12144254298 and 12144254307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3262725 + ... + 3266444.

It is an arithmetic number, because the mean of its divisors is an integer number (731267040).

Almost surely, 212144254340 is an apocalyptic number.

12144254340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144254340 is an abundant number, since it is smaller than the sum of its proper divisors (22956563580).

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

12144254340 is a wasteful number, since it uses less digits than its factorization.

12144254340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529212 (or 6529210 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12144254340 its reverse (4345244121), we get a palindrome (16489498461).

The spelling of 12144254340 in words is "twelve billion, one hundred forty-four million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 6529169 13058338 19587507 26116676 32645845 39175014 65291690 78350028 97937535 130583380 195875070 202404239 391750140 404808478 607212717 809616956 1012021195 1214425434 2024042390 2428850868 3036063585 4048084780 6072127170 12144254340