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405434141 = 71910932789
BaseRepresentation
bin11000001010100…
…110111100011101
31001020220012002022
4120022212330131
51312242343031
6104121505525
713022063510
oct3012467435
91036805068
10405434141
11198947742
12b39422a5
1365cc4b78
143bbbad77
15258d897b
hex182a6f1d

405434141 has 16 divisors (see below), whose sum is σ = 488361600. Its totient is φ = 328805568.

The previous prime is 405434129. The next prime is 405434171. The reversal of 405434141 is 141434504.

It is a happy number.

It is not a de Polignac number, because 405434141 - 210 = 405433117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405434141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405434171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143975 + ... + 146763.

It is an arithmetic number, because the mean of its divisors is an integer number (30522600).

Almost surely, 2405434141 is an apocalyptic number.

It is an amenable number.

405434141 is a deficient number, since it is larger than the sum of its proper divisors (82927459).

405434141 is a wasteful number, since it uses less digits than its factorization.

405434141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 405434141 is about 20135.3952283038. The cubic root of 405434141 is about 740.1278942571.

Adding to 405434141 its reverse (141434504), we get a palindrome (546868645).

The spelling of 405434141 in words is "four hundred five million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 7 19 133 1093 2789 7651 19523 20767 52991 145369 370937 3048377 21338639 57919163 405434141