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144111044243140 = 225132189325317373
BaseRepresentation
bin100000110001000101110111…
…100110011010111011000100
3200220020212210110021021012021
4200301011313212122323010
5122342103404311240030
61230255411052332524
742232452006553252
oct4061056746327304
9626225713237167
10144111044243140
1141a11172565287
12141b5829174144
1362547c8164180
1427830243975d2
15119d9d40ae97a
hex83117799aec4

144111044243140 has 48 divisors (see below), whose sum is σ = 325927568777328. Its totient is φ = 53207799151104.

The previous prime is 144111044243129. The next prime is 144111044243171. The reversal of 144111044243140 is 41342440111441.

It can be written as a sum of positive squares in 8 ways, for example, as 23836130715076 + 120274913528064 = 4882226^2 + 10966992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144111044243096 and 144111044243105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6966507 + ... + 18350866.

It is an arithmetic number, because the mean of its divisors is an integer number (6790157682861).

Almost surely, 2144111044243140 is an apocalyptic number.

144111044243140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144111044243140 is an abundant number, since it is smaller than the sum of its proper divisors (181816524534188).

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

144111044243140 is a wasteful number, since it uses less digits than its factorization.

144111044243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25339288 (or 25339286 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 144111044243140 its reverse (41342440111441), we get a palindrome (185453484354581).

The spelling of 144111044243140 in words is "one hundred forty-four trillion, one hundred eleven billion, forty-four million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 21893 43786 87572 109465 218930 284609 437860 569218 1138436 1423045 2846090 5692180 25317373 50634746 101269492 126586865 253173730 329125849 506347460 658251698 1316503396 1645629245 3291258490 6582516980 554273247089 1108546494178 2217092988356 2771366235445 5542732470890 7205552212157 11085464941780 14411104424314 28822208848628 36027761060785 72055522121570 144111044243140