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144541305541540 = 22553136359722209
BaseRepresentation
bin100000110111010110100101…
…001011000001001110100100
3200221210000101002210212120201
4200313112211023001032210
5122421131043204312130
61231225205321240244
742305523203343115
oct4067264513011644
9627700332725521
10144541305541540
1142067694880aa6
12142650a6933084
13628625703482b
142799b9d58220c
1511a9cb74e8bca
hex8375a52c13a4

144541305541540 has 24 divisors (see below), whose sum is σ = 309263849972280. Its totient is φ = 56725644438528.

The previous prime is 144541305541519. The next prime is 144541305541559. The reversal of 144541305541540 is 45145503145441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13167666897984 + 131373638643556 = 3628728^2 + 11461834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68179860045 + ... + 68179862164.

It is an arithmetic number, because the mean of its divisors is an integer number (12885993748845).

Almost surely, 2144541305541540 is an apocalyptic number.

144541305541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144541305541540 is an abundant number, since it is smaller than the sum of its proper divisors (164722544430740).

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

144541305541540 is a wasteful number, since it uses less digits than its factorization.

144541305541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136359722271 (or 136359722269 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 46.

Adding to 144541305541540 its reverse (45145503145441), we get a palindrome (189686808686981).

The spelling of 144541305541540 in words is "one hundred forty-four trillion, five hundred forty-one billion, three hundred five million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 136359722209 272719444418 545438888836 681798611045 1363597222090 2727194444180 7227065277077 14454130554154 28908261108308 36135326385385 72270652770770 144541305541540