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405302134413 = 3112313120112027
BaseRepresentation
bin1011110010111011110…
…00111100011010001101
31102202011012110201001110
411321131320330122031
523120024321300123
6510105423202233
741165523204561
oct5713570743215
91382135421043
10405302134413
11146984541470
1266672a46379
132c2b1c64397
141588c4316a1
15a822131493
hex5e5de3c68d

405302134413 has 64 divisors (see below), whose sum is σ = 620472213504. Its totient is φ = 232933272000.

The previous prime is 405302134361. The next prime is 405302134421. The reversal of 405302134413 is 314431203504.

It is not a de Polignac number, because 405302134413 - 28 = 405302134157 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405302134483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199950706 + ... + 199952732.

It is an arithmetic number, because the mean of its divisors is an integer number (9694878336).

Almost surely, 2405302134413 is an apocalyptic number.

It is an amenable number.

405302134413 is a deficient number, since it is larger than the sum of its proper divisors (215170079091).

405302134413 is a wasteful number, since it uses less digits than its factorization.

405302134413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 405302134413 its reverse (314431203504), we get a palindrome (719733337917).

The spelling of 405302134413 in words is "four hundred five billion, three hundred two million, one hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 11 23 33 69 131 253 393 759 1441 2011 2027 3013 4323 6033 6081 9039 22121 22297 33143 46253 46621 66363 66891 99429 138759 139863 263441 265537 508783 512831 790323 796611 1526349 1538493 2897851 2920907 4076297 6059143 6107351 8693553 8762721 12228891 18177429 18322053 44839267 66650573 67180861 93754831 134517801 199951719 201542583 281264493 533994907 1031303141 1601984721 3093909423 5873943977 12281882861 17621831931 36845648583 135100711471 405302134413