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405341410404 = 223743889312619
BaseRepresentation
bin1011110011000000011…
…10110001010001100100
31102202020221101010120210
411321200032301101210
523120114400113104
6510113345055420
741166511066050
oct5714016612144
91382227333523
10405341410404
111469a4728067
1266684027570
132c2ba136508
1415893736c60
15a8257dd989
hex5e603b1464

405341410404 has 96 divisors (see below), whose sum is σ = 1106259911680. Its totient is φ = 113096850048.

The previous prime is 405341410373. The next prime is 405341410429. The reversal of 405341410404 is 404014143504.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32115207 + ... + 32127825.

Almost surely, 2405341410404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405341410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553129955840).

405341410404 is an abundant number, since it is smaller than the sum of its proper divisors (700918501276).

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

405341410404 is a wasteful number, since it uses less digits than its factorization.

405341410404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569 (or 21567 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 405341410404 its reverse (404014143504), we get a palindrome (809355553908).

The spelling of 405341410404 in words is "four hundred five billion, three hundred forty-one million, four hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 8893 12619 17786 25238 26679 35572 37857 50476 53358 62251 75714 88333 106716 124502 151428 176666 186753 249004 264999 353332 373506 382399 529998 542617 747012 764798 1059996 1085234 1147197 1529596 1627851 2170468 2294394 2676793 3255702 3798319 4588788 5353586 6511404 7596638 8030379 10707172 11394957 15193276 16060758 22789914 32121516 45579828 112220767 224441534 336662301 448883068 673324602 785545369 1346649204 1571090738 2356636107 3142181476 4713272214 4825492981 9426544428 9650985962 14476478943 19301971924 28952957886 33778450867 57905915772 67556901734 101335352601 135113803468 202670705202 405341410404