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144042441002141 = 1173308369118419
BaseRepresentation
bin100000110000000101111110…
…100001110100110010011101
3200220000022201101011112110112
4200300011332201310302131
5122334442404344032031
61230204103415015405
742224502652620263
oct4060057641646235
9626008641145415
10144042441002141
11419950688489a0
12141a448206a565
13624b1b4202046
14277d99708c433
15119bd1b40362b
hex83017e874c9d

144042441002141 has 32 divisors (see below), whose sum is σ = 159383425351680. Its totient is φ = 129077961955200.

The previous prime is 144042441002137. The next prime is 144042441002167. The reversal of 144042441002141 is 141200144240441.

It is a cyclic number.

It is not a de Polignac number, because 144042441002141 - 22 = 144042441002137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144042441002098 and 144042441002107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042441022141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17109206030 + ... + 17109214448.

It is an arithmetic number, because the mean of its divisors is an integer number (4980732042240).

Almost surely, 2144042441002141 is an apocalyptic number.

144042441002141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144042441002141 is a deficient number, since it is larger than the sum of its proper divisors (15340984349539).

144042441002141 is a wasteful number, since it uses less digits than its factorization.

144042441002141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497.

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 144042441002141 its reverse (141200144240441), we get a palindrome (285242585242582).

The spelling of 144042441002141 in words is "one hundred forty-four trillion, forty-two billion, four hundred forty-one million, two thousand, one hundred forty-one".

Divisors: 1 11 73 803 3083 6911 8419 33913 76021 92609 225059 504503 614587 2475649 5549533 6760457 21306613 25955777 58183709 234372743 285513547 640020799 1555382749 1894771721 4247410757 17109210239 20842488931 46721518327 179380374847 1973184123317 13094767363831 144042441002141