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413240324324 = 2217229109113089
BaseRepresentation
bin1100000001101110000…
…10101111000011100100
31110111122102120112110012
412000313002233003210
523232304010334244
6513501234145352
741566323541442
oct6006702570344
91414572515405
10413240324324
1114a288431aa3
1268109422258
132cc78745689
1416002809b92
15ab38ebc89e
hex60370af0e4

413240324324 has 72 divisors (see below), whose sum is σ = 802000353000. Its totient is φ = 186036092928.

The previous prime is 413240324323. The next prime is 413240324339. The reversal of 413240324324 is 423423042314.

It can be written as a sum of positive squares in 12 ways, for example, as 7344100 + 413232980224 = 2710^2 + 642832^2 .

It is not an unprimeable number, because it can be changed into a prime (413240324323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3597572 + ... + 3710660.

Almost surely, 2413240324324 is an apocalyptic number.

It is an amenable number.

413240324324 is a deficient number, since it is larger than the sum of its proper divisors (388760028676).

413240324324 is a wasteful number, since it uses less digits than its factorization.

413240324324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113265 (or 113246 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 413240324324 its reverse (423423042314), we get a palindrome (836663366638).

The spelling of 413240324324 in words is "four hundred thirteen billion, two hundred forty million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 17 29 34 58 68 109 116 218 289 436 493 578 986 1156 1853 1972 3161 3706 6322 7412 8381 12644 16762 31501 33524 53737 63002 107474 113089 126004 214948 226178 452356 913529 1827058 1922513 3279581 3654116 3845026 6559162 7690052 12326701 13118324 24653402 32682721 49306804 55752877 65365442 111505754 130730884 209553917 223011508 357474329 419107834 714948658 838215668 947798909 1429897316 1895597818 3562416589 3791195636 6077063593 7124833178 12154127186 14249666356 24308254372 103310081081 206620162162 413240324324