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12144144150 = 23252199135613
BaseRepresentation
bin10110100111101100…
…01110111100010110
31011100100100102221200
423103312032330112
5144332400103100
65325015053330
7606641344035
oct132366167426
934310312850
1012144144150
115172064276
12242b071246
1311b6c93218
14832c2071c
154b1244e00
hex2d3d8ef16

12144144150 has 72 divisors (see below), whose sum is σ = 32791465200. Its totient is φ = 3222141120.

The previous prime is 12144144143. The next prime is 12144144223. The reversal of 12144144150 is 5144144121.

It is a happy number.

12144144150 is a `hidden beast` number, since 1 + 214 + 4 + 1 + 441 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21744 + ... + 157356.

Almost surely, 212144144150 is an apocalyptic number.

12144144150 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 12144144150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395732600).

12144144150 is an abundant number, since it is smaller than the sum of its proper divisors (20647321050).

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

12144144150 is a wasteful number, since it uses less digits than its factorization.

12144144150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135830 (or 135822 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12144144150 its reverse (5144144121), we get a palindrome (17288288271).

The spelling of 12144144150 in words is "twelve billion, one hundred forty-four million, one hundred forty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2985 3582 4975 5970 8955 9950 14925 17910 29850 44775 89550 135613 271226 406839 678065 813678 1220517 1356130 2034195 2441034 3390325 4068390 6102585 6780650 10170975 12205170 20341950 26986987 30512925 53973974 61025850 80960961 134934935 161921922 242882883 269869870 404804805 485765766 674674675 809609610 1214414415 1349349350 2024024025 2428828830 4048048050 6072072075 12144144150