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12342054144 = 28372327967
BaseRepresentation
bin10110111111010010…
…01100110100000000
31011212010202022102110
423133221030310000
5200234031213034
65400405015320
7614563505100
oct133751146400
934763668373
1012342054144
115263849a52
1224853b4540
131218c98124
1485121b200
154c37d9de9
hex2dfa4cd00

12342054144 has 108 divisors (see below), whose sum is σ = 38210895744. Its totient is φ = 3526290432.

The previous prime is 12342054133. The next prime is 12342054203. The reversal of 12342054144 is 44145024321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126352 + ... + 201615.

Almost surely, 212342054144 is an apocalyptic number.

12342054144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12342054144 is an abundant number, since it is smaller than the sum of its proper divisors (25868841600).

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

12342054144 is an equidigital number, since it uses as much as digits as its factorization.

12342054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328000 (or 327979 counting only the distinct ones).

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

Adding to 12342054144 its reverse (44145024321), we get a palindrome (56487078465).

It can be divided in two parts, 1234 and 2054144, that added together give a triangular number (2055378 = T2027).

The spelling of 12342054144 in words is "twelve billion, three hundred forty-two million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 327967 655934 983901 1311868 1967802 2295769 2623736 3935604 4591538 5247472 6887307 7871208 9183076 10494944 13774614 15742416 16070383 18366152 20989888 27549228 31484832 32140766 36732304 41979776 48211149 55098456 62969664 64281532 73464608 83959552 96422298 110196912 125939328 128563064 146929216 192844596 220393824 251878656 257126128 293858432 385689192 440787648 514252256 587716864 771378384 881575296 1028504512 1542756768 1763150592 2057009024 3085513536 4114018048 6171027072 12342054144