Search a number
-
+
81144099810 = 2345100177901
BaseRepresentation
bin100101110010010010…
…0001011001111100010
321202110001221100220000
41023210210023033202
52312140342143220
6101135503400430
75601553316364
oct1134444131742
9252401840800
1081144099810
113145a802214
1213886bb3116
137862186457
143cdaab6d34
15219db66390
hex12e490b3e2

81144099810 has 40 divisors (see below), whose sum is σ = 218187470556. Its totient is φ = 21638426400.

The previous prime is 81144099809. The next prime is 81144099833. The reversal of 81144099810 is 1899044118.

It can be written as a sum of positive squares in 2 ways, for example, as 76625436969 + 4518662841 = 276813^2 + 67221^2 .

It is a super-2 number, since 2×811440998102 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50088141 + ... + 50089760.

Almost surely, 281144099810 is an apocalyptic number.

81144099810 is an abundant number, since it is smaller than the sum of its proper divisors (137043370746).

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

81144099810 is a wasteful number, since it uses less digits than its factorization.

81144099810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100177920 (or 100177911 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 81144099810 in words is "eighty-one billion, one hundred forty-four million, ninety-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 100177901 200355802 300533703 500889505 601067406 901601109 1001779010 1502668515 1803202218 2704803327 3005337030 4508005545 5409606654 8114409981 9016011090 13524016635 16228819962 27048033270 40572049905 81144099810