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144735405228 = 22335932259937
BaseRepresentation
bin1000011011001011100…
…1110000010010101100
3111211120212012101112000
42012302321300102230
54332404230431403
6150253542012300
713312451434311
oct2066271602254
9454525171460
10144735405228
11564223aa187
1224073717090
131085796b11b
1470104d4d08
153b7180e7a3
hex21b2e704ac

144735405228 has 48 divisors (see below), whose sum is σ = 375872888160. Its totient is φ = 48163756032.

The previous prime is 144735405161. The next prime is 144735405253. The reversal of 144735405228 is 822504537441.

144735405228 is a `hidden beast` number, since 1 + 4 + 4 + 73 + 54 + 0 + 522 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065925 + ... + 1194012.

It is an arithmetic number, because the mean of its divisors is an integer number (7830685170).

Almost surely, 2144735405228 is an apocalyptic number.

144735405228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144735405228 is an abundant number, since it is smaller than the sum of its proper divisors (231137482932).

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

144735405228 is a wasteful number, since it uses less digits than its factorization.

144735405228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260543 (or 2260535 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 144735405228 in words is "one hundred forty-four billion, seven hundred thirty-five million, four hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 593 1186 1779 2372 3558 5337 7116 10674 16011 21348 32022 64044 2259937 4519874 6779811 9039748 13559622 20339433 27119244 40678866 61018299 81357732 122036598 244073196 1340142641 2680285282 4020427923 5360570564 8040855846 12061283769 16081711692 24122567538 36183851307 48245135076 72367702614 144735405228