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81138144318 = 23711241728729
BaseRepresentation
bin100101110010000110…
…1011101010000111110
321202102122201210111020
41023210031131100332
52312132331104233
6101135132005010
75601451563420
oct1134415352076
9252378653436
1081138144318
1131457404820
1213885000766
137860b7c7aa
143cd9da6810
15219d38b9b3
hex12e435d43e

81138144318 has 64 divisors (see below), whose sum is σ = 203158264320. Its totient is φ = 20987366400.

The previous prime is 81138144251. The next prime is 81138144379. The reversal of 81138144318 is 81344183118.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 81138144318.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253023 + ... + 475706.

It is an arithmetic number, because the mean of its divisors is an integer number (3174347880).

Almost surely, 281138144318 is an apocalyptic number.

81138144318 is an abundant number, since it is smaller than the sum of its proper divisors (122020120002).

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

81138144318 is a wasteful number, since it uses less digits than its factorization.

81138144318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728993.

The product of its digits is 73728, while the sum is 42.

It can be divided in two parts, 81138 and 144318, that added together give a triangular number (225456 = T671).

The spelling of 81138144318 in words is "eighty-one billion, one hundred thirty-eight million, one hundred forty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2651 3374 5061 5302 7953 10122 15906 18557 37114 55671 111342 728729 1457458 2186187 4372374 5101103 8016019 10202206 15303309 16032038 24048057 30606618 48096114 56112133 112224266 168336399 175623689 336672798 351247378 526871067 1053742134 1229365823 1931860579 2458731646 3688097469 3863721158 5795581737 7376194938 11591163474 13523024053 27046048106 40569072159 81138144318