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4045230325404 = 22322915125660541
BaseRepresentation
bin111010110111011010100…
…001000011111010011100
3112022201110001112022001100
4322313122201003322130
51012234112430403104
612334204140513100
7565154402301042
oct72673241037234
915281401468040
104045230325404
11131a633072594
12553bab54b790
13234604650ca8
14ddb0c406392
157035bc43139
hex3adda843e9c

4045230325404 has 72 divisors (see below), whose sum is σ = 10648098508320. Its totient is φ = 1293291216000.

The previous prime is 4045230325399. The next prime is 4045230325453.

4045230325404 is a `hidden beast` number, since 4 + 0 + 4 + 52 + 30 + 32 + 540 + 4 = 666.

4045230325404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12672627 + ... + 12987914.

It is an arithmetic number, because the mean of its divisors is an integer number (147890257060).

Almost surely, 24045230325404 is an apocalyptic number.

It is an amenable number.

4045230325404 is an abundant number, since it is smaller than the sum of its proper divisors (6602868182916).

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

4045230325404 is a wasteful number, since it uses less digits than its factorization.

4045230325404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660731 (or 25660726 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 4045230325404 in words is "four trillion, forty-five billion, two hundred thirty million, three hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 151 174 261 302 348 453 522 604 906 1044 1359 1812 2718 4379 5436 8758 13137 17516 26274 39411 52548 78822 157644 25660541 51321082 76981623 102642164 153963246 230944869 307926492 461889738 744155689 923779476 1488311378 2232467067 2976622756 3874741691 4464934134 6697401201 7749483382 8929868268 11624225073 13394802402 15498966764 23248450146 26789604804 34872675219 46496900292 69745350438 112367509039 139490700876 224735018078 337102527117 449470036156 674205054234 1011307581351 1348410108468 2022615162702 4045230325404