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405104303045 = 513171572335097
BaseRepresentation
bin1011110010100100001…
…10010001101111000101
31102201122102012211102202
411321102012101233011
523114123200144140
6510034035044245
741160601522001
oct5712206215705
91381572184382
10405104303045
111468928aa872
1266618740685
132c27cc891c0
1415870055701
15a80eaa4915
hex5e52191bc5

405104303045 has 32 divisors (see below), whose sum is σ = 557845571808. Its totient is φ = 279763181568.

The previous prime is 405104303003. The next prime is 405104303053. The reversal of 405104303045 is 540303401504.

It can be written as a sum of positive squares in 16 ways, for example, as 244053784324 + 161050518721 = 494018^2 + 401311^2 .

It is a de Polignac number, because none of the positive numbers 2k-405104303045 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 405104302999 and 405104303017.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 994064 + ... + 1341033.

It is an arithmetic number, because the mean of its divisors is an integer number (17432674119).

Almost surely, 2405104303045 is an apocalyptic number.

It is an amenable number.

405104303045 is a deficient number, since it is larger than the sum of its proper divisors (152741268763).

405104303045 is a wasteful number, since it uses less digits than its factorization.

405104303045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335289.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 405104303045 its reverse (540303401504), we get a palindrome (945407704549).

The spelling of 405104303045 in words is "four hundred five billion, one hundred four million, three hundred three thousand, forty-five".

Divisors: 1 5 13 17 65 85 157 221 785 1105 2041 2669 10205 13345 34697 173485 2335097 11675485 30356261 39696649 151781305 198483245 366610229 516056437 1833051145 2580282185 4765932977 6232373893 23829664885 31161869465 81020860609 405104303045