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144044042010440 = 235111325182524827
BaseRepresentation
bin100000110000000111011101…
…111101001011111101001000
3200220000110211221202011222012
4200300013131331023331020
5122340004144223313230
61230204530330115052
742224560433150045
oct4060073575137510
9626013757664865
10144044042010440
114199580a549150
12141a484a27ba88
13624b3aaacba30
14277daa99661cc
15119bdb1c51395
hex8301ddf4bf48

144044042010440 has 64 divisors (see below), whose sum is σ = 380759775399360. Its totient is φ = 48350447665920.

The previous prime is 144044042010433. The next prime is 144044042010469. The reversal of 144044042010440 is 44010240440441.

144044042010440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144044042010397 and 144044042010406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12591256694 + ... + 12591268133.

It is an arithmetic number, because the mean of its divisors is an integer number (5949371490615).

Almost surely, 2144044042010440 is an apocalyptic number.

144044042010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044042010440 is an abundant number, since it is smaller than the sum of its proper divisors (236715733388920).

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

144044042010440 is a wasteful number, since it uses less digits than its factorization.

144044042010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25182524862 (or 25182524858 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144044042010440 its reverse (44010240440441), we get a palindrome (188054282450881).

The spelling of 144044042010440 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 25182524827 50365049654 100730099308 125912624135 201460198616 251825248270 277007773097 327372822751 503650496540 554015546194 654745645502 1007300993080 1108031092388 1309491291004 1385038865485 1636864113755 2216062184776 2618982582008 2770077730970 3273728227510 3601101050261 5540155461940 6547456455020 7202202100522 11080310923880 13094912910040 14404404201044 18005505251305 28808808402088 36011010502610 72022021005220 144044042010440