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144101113434131 = 7263311251682581
BaseRepresentation
bin100000110000111100100111…
…101011011001000000010011
3200220012221011100200220021012
4200300330213223121000103
5122341423040014343011
61230251045420521135
742231650632225310
oct4060744753310023
9626187140626235
10144101113434131
1141a07a36909507
12141b39173b01ab
1362538a48c1219
1427827614c5d07
15119d60231ca8b
hex830f27ad9013

144101113434131 has 16 divisors (see below), whose sum is σ = 165844727313408. Its totient is φ = 122649954885600.

The previous prime is 144101113434079. The next prime is 144101113434151. The reversal of 144101113434131 is 131434311101441.

It is a cyclic number.

It is not a de Polignac number, because 144101113434131 - 210 = 144101113433107 is a prime.

It is a super-2 number, since 2×1441011134341312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144101113434151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125268740 + ... + 126413841.

It is an arithmetic number, because the mean of its divisors is an integer number (10365295457088).

Almost surely, 2144101113434131 is an apocalyptic number.

144101113434131 is a deficient number, since it is larger than the sum of its proper divisors (21743613879277).

144101113434131 is a wasteful number, since it uses less digits than its factorization.

144101113434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251683162.

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 144101113434131 its reverse (131434311101441), we get a palindrome (275535424535572).

The spelling of 144101113434131 in words is "one hundred forty-four trillion, one hundred one billion, one hundred thirteen million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 7 263 311 1841 2177 81793 572551 251682581 1761778067 66192518803 78273282691 463347631621 547912978837 20585873347733 144101113434131