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144506642551021 = 6779711057244747
BaseRepresentation
bin100000110110110110010011…
…000110001101000011101101
3200221122200220101021111202001
4200312312103012031003231
5122420044100443113041
61231201233553132301
742303155212650532
oct4066662306150355
9627580811244661
10144506642551021
1142053a174921a3
121425a43225a091
136282bc189925a
142798231b20d89
1511a8e39338131
hex836d9318d0ed

144506642551021 has 16 divisors (see below), whose sum is σ = 146861358509376. Its totient is φ = 142157781063936.

The previous prime is 144506642550971. The next prime is 144506642551043. The reversal of 144506642551021 is 120155246605441.

It is a cyclic number.

It is not a de Polignac number, because 144506642551021 - 29 = 144506642550509 is a prime.

It is a super-3 number, since 3×1445066425510213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144506642551121) 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 15 ways as a sum of consecutive naturals, for example, 590310370 + ... + 590555116.

It is an arithmetic number, because the mean of its divisors is an integer number (9178834906836).

Almost surely, 2144506642551021 is an apocalyptic number.

It is an amenable number.

144506642551021 is a deficient number, since it is larger than the sum of its proper divisors (2354715958355).

144506642551021 is a wasteful number, since it uses less digits than its factorization.

144506642551021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256668.

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 144506642551021 in words is "one hundred forty-four trillion, five hundred six billion, six hundred forty-two million, five hundred fifty-one thousand, twenty-one".

Divisors: 1 67 797 11057 53399 244747 740819 8812429 16398049 195063359 590432743 2706167579 13069245053 181313227793 2156815560463 144506642551021