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144644436440 = 23571656131193
BaseRepresentation
bin1000011010110101111…
…0101111000111011000
3111211100112000200210122
42012231132233013120
54332212433431230
6150240532132412
713310265265220
oct2065536570730
9454315020718
10144644436440
1156386016a69
1224049167108
1310841b6a23a
1470023b5080
153b68840be5
hex21ad7af1d8

144644436440 has 64 divisors (see below), whose sum is σ = 371977220160. Its totient is φ = 49587793920.

The previous prime is 144644436413. The next prime is 144644436449. The reversal of 144644436440 is 44634446441.

It is a junction number, because it is equal to n+sod(n) for n = 144644436391 and 144644436400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144644436449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4621484 + ... + 4652676.

It is an arithmetic number, because the mean of its divisors is an integer number (5812144065).

Almost surely, 2144644436440 is an apocalyptic number.

144644436440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144644436440 is an abundant number, since it is smaller than the sum of its proper divisors (227332783720).

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

144644436440 is a wasteful number, since it uses less digits than its factorization.

144644436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47772 (or 47768 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 144644436440 in words is "one hundred forty-four billion, six hundred forty-four million, four hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 16561 31193 33122 62386 66244 82805 115927 124772 132488 155965 165610 218351 231854 249544 311930 331220 436702 463708 579635 623860 662440 873404 927416 1091755 1159270 1247720 1746808 2183510 2318540 4367020 4637080 8734040 516587273 1033174546 2066349092 2582936365 3616110911 4132698184 5165872730 7232221822 10331745460 14464443644 18080554555 20663490920 28928887288 36161109110 72322218220 144644436440