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12144515250150 = 23252103439596851
BaseRepresentation
bin1011000010111001110110…
…0001000111011111100110
31121000000010011000110022200
42300232131201013133212
53042433431401001100
641455040245235330
72362261260246303
oct260563541073746
947000104013280
1012144515250150
113962507285238
121441831702b46
136a12b886781a
142ddb24b660aa
15160d90243e00
hexb0b9d8477e6

12144515250150 has 144 divisors (see below), whose sum is σ = 33020144551680. Its totient is φ = 3199784472000.

The previous prime is 12144515250143. The next prime is 12144515250151. The reversal of 12144515250150 is 5105251544121.

12144515250150 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 51 + 52 + 501 + 50 = 666.

It is a super-2 number, since 2×121445152501502 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144515250151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20049225 + ... + 20646075.

Almost surely, 212144515250150 is an apocalyptic number.

12144515250150 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 12144515250150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510072275840).

12144515250150 is an abundant number, since it is smaller than the sum of its proper divisors (20875629301530).

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

12144515250150 is a wasteful number, since it uses less digits than its factorization.

12144515250150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597411 (or 597403 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 12144515250150 its reverse (5105251544121), we get a palindrome (17249766794271).

The spelling of 12144515250150 in words is "twelve trillion, one hundred forty-four billion, five hundred fifteen million, two hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 103 150 206 225 309 439 450 515 618 878 927 1030 1317 1545 1854 2195 2575 2634 3090 3951 4390 4635 5150 6585 7725 7902 9270 10975 13170 15450 19755 21950 23175 32925 39510 45217 46350 65850 90434 98775 135651 197550 226085 271302 406953 452170 596851 678255 813906 1130425 1193702 1356510 1790553 2034765 2260850 2984255 3391275 3581106 4069530 5371659 5968510 6782550 8952765 10173825 10743318 14921275 17905530 20347650 26858295 29842550 44763825 53716590 61475653 89527650 122951306 134291475 184426959 262017589 268582950 307378265 368853918 524035178 553280877 614756530 786052767 922134795 1106561754 1310087945 1536891325 1572105534 1844269590 2358158301 2620175890 2766404385 3073782650 3930263835 4610673975 4716316602 5532808770 6550439725 7860527670 9221347950 11790791505 13100879450 13832021925 19651319175 23581583010 26987811667 27664043850 39302638350 53975623334 58953957525 80963435001 117907915050 134939058335 161926870002 242890305003 269878116670 404817175005 485780610006 674695291675 809634350010 1214451525015 1349390583350 2024085875025 2428903050030 4048171750050 6072257625075 12144515250150