Search a number
-
+
113366441034 = 232711127644047
BaseRepresentation
bin110100110010100101…
…0101001110001001010
3101211121200221220022100
41221211022221301022
53324133302103114
6124025124134230
711122216564230
oct1514512516112
9354550856270
10113366441034
1144095445090
1219b7a237376
13a8c8aa2b52
1456b6336950
152e37921909
hex1a652a9c4a

113366441034 has 96 divisors (see below), whose sum is σ = 308648411136. Its totient is φ = 29213926560.

The previous prime is 113366441003. The next prime is 113366441047. The reversal of 113366441034 is 430144663311.

113366441034 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 6 + 644 + 1 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113366441034.

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 47 ways as a sum of consecutive naturals, for example, 146002 + ... + 498045.

It is an arithmetic number, because the mean of its divisors is an integer number (3215087616).

Almost surely, 2113366441034 is an apocalyptic number.

113366441034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

113366441034 is an abundant number, since it is smaller than the sum of its proper divisors (195281970102).

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

113366441034 is a wasteful number, since it uses less digits than its factorization.

113366441034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644200 (or 644197 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 113366441034 in words is "one hundred thirteen billion, three hundred sixty-six million, four hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 127 154 198 231 254 381 462 693 762 889 1143 1386 1397 1778 2286 2667 2794 4191 5334 8001 8382 9779 12573 16002 19558 25146 29337 58674 88011 176022 644047 1288094 1932141 3864282 4508329 5796423 7084517 9016658 11592846 13524987 14169034 21253551 27049974 40574961 42507102 49591619 63760653 81149922 81793969 99183238 127521306 148774857 163587938 245381907 297549714 446324571 490763814 572557783 736145721 892649142 899733659 1145115566 1472291442 1717673349 1799467318 2699200977 3435346698 5153020047 5398401954 6298135613 8097602931 10306040094 12596271226 16195205862 18894406839 37788813678 56683220517 113366441034