Search a number
-
+
361411135644 = 2231368318111873
BaseRepresentation
bin1010100001001011100…
…10000100100010011100
31021112212100210221200110
411100211302010202130
521410132222320034
6434010250530020
735053050652206
oct5204562044234
91245770727613
10361411135644
1112a301189469
125a063a36910
1328108a35cb0
14136c71a5776
159603c55de9
hex5425c8489c

361411135644 has 96 divisors (see below), whose sum is σ = 910479032064. Its totient is φ = 110920043520.

The previous prime is 361411135609. The next prime is 361411135669. The reversal of 361411135644 is 446531114163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192957492 + ... + 192959364.

It is an arithmetic number, because the mean of its divisors is an integer number (9484156584).

Almost surely, 2361411135644 is an apocalyptic number.

It is an amenable number.

361411135644 is an abundant number, since it is smaller than the sum of its proper divisors (549067896420).

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

361411135644 is a wasteful number, since it uses less digits than its factorization.

361411135644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4385 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 361411135644 in words is "three hundred sixty-one billion, four hundred eleven million, one hundred thirty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 683 1366 1811 1873 2049 2732 3622 3746 4098 5433 5619 7244 7492 8196 8879 10866 11238 17758 21732 22476 23543 24349 26637 35516 47086 48698 53274 70629 73047 94172 97396 106548 141258 146094 282516 292188 1236913 1279259 2473826 2558518 3392003 3710739 3837777 4947652 5117036 6784006 7421478 7675554 10176009 13568012 14842956 15351108 16079869 16630367 20352018 32159738 33260734 40704036 44096039 48239607 49891101 64319476 66521468 88192078 96479214 99782202 132288117 176384156 192958428 199564404 264576234 529152468 2316738049 4633476098 6950214147 9266952196 13900428294 27800856588 30117594637 60235189274 90352783911 120470378548 180705567822 361411135644