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413124401034 = 23319343279161
BaseRepresentation
bin1100000001100000010…
…00100001011110001010
31110111100100110000121000
412000300020201132022
523232034321313114
6513441533355430
741563415316612
oct6006010413612
91414310400530
10413124401034
1114a228a55124
1268096638b76
132cc5a718207
1415dd1271a42
15ab2dc1ee09
hex603022178a

413124401034 has 64 divisors (see below), whose sum is σ = 923125006080. Its totient is φ = 136948008960.

The previous prime is 413124401021. The next prime is 413124401093. The reversal of 413124401034 is 430104421314.

413124401034 is a `hidden beast` number, since 413 + 1 + 244 + 0 + 1 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413124400989 and 413124401007.

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, 45091414 + ... + 45100574.

It is an arithmetic number, because the mean of its divisors is an integer number (14423828220).

Almost surely, 2413124401034 is an apocalyptic number.

413124401034 is an abundant number, since it is smaller than the sum of its proper divisors (510000605046).

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

413124401034 is a wasteful number, since it uses less digits than its factorization.

413124401034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413124401034 its reverse (430104421314), we get a palindrome (843228822348).

The spelling of 413124401034 in words is "four hundred thirteen billion, one hundred twenty-four million, four hundred one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 3474 4327 5211 8654 9161 10422 12981 18322 25962 27483 38943 54966 77886 82449 116829 164898 233658 247347 494694 835111 1670222 1768073 2505333 3536146 5010666 5304219 7515999 10608438 15031998 15912657 22547997 31825314 39639647 45095994 47737971 79279294 95475942 118918941 237837882 356756823 713513646 1070270469 2140540938 7650451871 15300903742 22951355613 45902711226 68854066839 137708133678 206562200517 413124401034