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144331321100141 = 72171181146712017
BaseRepresentation
bin100000110100010011000001…
…000111111100011101101101
3200221000221100221001000100102
4200310103001013330131231
5122404211021200201031
61230544521002040445
742254410454134400
oct4064230107743555
9627027327030312
10144331321100141
1141a9662a06223a
12142304634a9125
13626c501314b86
14278d95d42bd37
1511a45c773b7cb
hex8344c11fc76d

144331321100141 has 24 divisors (see below), whose sum is σ = 177922359013176. Its totient is φ = 116336760207360.

The previous prime is 144331321100123. The next prime is 144331321100173. The reversal of 144331321100141 is 141001123133441.

It can be written as a sum of positive squares in 4 ways, for example, as 82544584014025 + 61786737086116 = 9085405^2 + 7860454^2 .

It is not a de Polignac number, because 144331321100141 - 246 = 73962576922477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144331321103141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72372236 + ... + 74339781.

It is an arithmetic number, because the mean of its divisors is an integer number (7413431625549).

Almost surely, 2144331321100141 is an apocalyptic number.

It is an amenable number.

144331321100141 is a deficient number, since it is larger than the sum of its proper divisors (33591037913035).

144331321100141 is a wasteful number, since it uses less digits than its factorization.

144331321100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146713229 (or 146713222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 144331321100141 its reverse (141001123133441), we get a palindrome (285332444233582).

The spelling of 144331321100141 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred thousand, one hundred forty-one".

Divisors: 1 7 17 49 119 833 1181 8267 20077 57869 140539 983773 146712017 1026984119 2494104289 7188888833 17458730023 122211110161 173266892077 1212868244539 2945537165309 8490077711773 20618760157163 144331321100141