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410145004242 = 232269104980749
BaseRepresentation
bin1011111011111101000…
…11000001101011010010
31110012122201011222112200
411331332203001223102
523204434110113432
6512230142504030
741426530004601
oct5757643015322
91405581158480
10410145004242
11148a3a187226
12675a4895016
132c8a439882c
1415bcb6ada38
15aa0739aa7c
hex5f7e8c1ad2

410145004242 has 48 divisors (see below), whose sum is σ = 892812375000. Its totient is φ = 136075237632.

The previous prime is 410145004169. The next prime is 410145004273. The reversal of 410145004242 is 242400541014.

410145004242 is a `hidden beast` number, since 410 + 1 + 4 + 5 + 0 + 0 + 4 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 401133489201 + 9011515041 = 633351^2 + 94929^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5038884 + ... + 5119632.

Almost surely, 2410145004242 is an apocalyptic number.

410145004242 is an abundant number, since it is smaller than the sum of its proper divisors (482667370758).

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

410145004242 is a wasteful number, since it uses less digits than its factorization.

410145004242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82075 (or 82072 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 410145004242 its reverse (242400541014), we get a palindrome (652545545256).

The spelling of 410145004242 in words is "four hundred ten billion, one hundred forty-five million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 269 538 807 1049 1614 2098 2421 3147 4842 6294 9441 18882 80749 161498 242247 282181 484494 564362 726741 846543 1453482 1693086 2539629 5079258 21721481 43442962 65164443 84705701 130328886 169411402 195493329 254117103 390986658 508234206 762351309 1524702618 22785833569 45571667138 68357500707 136715001414 205072502121 410145004242