Search a number
-
+
41020385364 = 22337411323409
BaseRepresentation
bin100110001101000000…
…010110100001010100
310220212210002111002000
4212031000112201110
51133002204312424
630502225115300
72651344344150
oct461500264124
9126783074060
1041020385364
111643aa35732
127b49788b30
133b395a939a
141db1d04060
1511013933c9
hex98d016854

41020385364 has 96 divisors (see below), whose sum is σ = 124506412800. Its totient is φ = 11434245120.

The previous prime is 41020385359. The next prime is 41020385383. The reversal of 41020385364 is 46358302014.

41020385364 is a `hidden beast` number, since 4 + 10 + 203 + 85 + 364 = 666.

It is a super-2 number, since 2×410203853642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630709 + ... + 692700.

It is an arithmetic number, because the mean of its divisors is an integer number (1296941800).

Almost surely, 241020385364 is an apocalyptic number.

It is an amenable number.

41020385364 is an abundant number, since it is smaller than the sum of its proper divisors (83486027436).

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

41020385364 is a wasteful number, since it uses less digits than its factorization.

41020385364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323470 (or 1323462 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 41020385364 its reverse (46358302014), we get a palindrome (87378687378).

The spelling of 41020385364 in words is "forty-one billion, twenty million, three hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 30996 1323409 2646818 3970227 5293636 7940454 9263863 11910681 15880908 18527726 23821362 27791589 35732043 37055452 47642724 54259769 55583178 71464086 83374767 108519538 111166356 142928172 162779307 166749534 217039076 250124301 325558614 333499068 379818383 488337921 500248602 651117228 759636766 976675842 1000497204 1139455149 1465013763 1519273532 1953351684 2278910298 2930027526 3418365447 4557820596 5860055052 6836730894 10255096341 13673461788 20510192682 41020385364