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413020300410 = 232532531410733
BaseRepresentation
bin1100000001010011110…
…11011010010001111010
31110111002002120011101100
412000221323122101322
523231331144103120
6513423334232230
741561012425344
oct6005173322172
91414062504340
10413020300410
1114a185212853
12680677b5676
132cc41c9a103
1415dc14d4294
15ab24a0a490
hex6029eda47a

413020300410 has 48 divisors (see below), whose sum is σ = 1074183654024. Its totient is φ = 110104811136.

The previous prime is 413020300397. The next prime is 413020300439. The reversal of 413020300410 is 14003020314.

It can be written as a sum of positive squares in 4 ways, for example, as 387480105441 + 25540194969 = 622479^2 + 159813^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412597 + ... + 998136.

Almost surely, 2413020300410 is an apocalyptic number.

413020300410 is an abundant number, since it is smaller than the sum of its proper divisors (661163353614).

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

413020300410 is a wasteful number, since it uses less digits than its factorization.

413020300410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413999 (or 1413996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 413020300410 its reverse (14003020314), we get a palindrome (427023320724).

The spelling of 413020300410 in words is "four hundred thirteen billion, twenty million, three hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3253 6506 9759 16265 19518 29277 32530 48795 58554 97590 146385 292770 1410733 2821466 4232199 7053665 8464398 12696597 14107330 21160995 25393194 42321990 63482985 126965970 4589114449 9178228898 13767343347 22945572245 27534686694 41302030041 45891144490 68836716735 82604060082 137673433470 206510150205 413020300410