Search a number
-
+
404234134330 = 251317414461253
BaseRepresentation
bin1011110000111100011…
…10110110001100111010
31102122101202211200100211
411320132032312030322
523110332414244310
6505411432221334
741130204306655
oct5703616661472
91378352750324
10404234134330
111464866a3174
126641523a84a
132c171908a80
14157ca66289c
15a7ad4bbc8a
hex5e1e3b633a

404234134330 has 64 divisors (see below), whose sum is σ = 849922422048. Its totient is φ = 137049661440.

The previous prime is 404234134327. The next prime is 404234134391. The reversal of 404234134330 is 33431432404.

It can be written as a sum of positive squares in 16 ways, for example, as 32318331529 + 371915802801 = 179773^2 + 609849^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404234134292 and 404234134301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2140017 + ... + 2321236.

Almost surely, 2404234134330 is an apocalyptic number.

404234134330 is an abundant number, since it is smaller than the sum of its proper divisors (445688287718).

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

404234134330 is a wasteful number, since it uses less digits than its factorization.

404234134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461331.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 404234134330 its reverse (33431432404), we get a palindrome (437665566734).

The spelling of 404234134330 in words is "four hundred four billion, two hundred thirty-four million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 41 65 82 85 130 170 205 221 410 442 533 697 1066 1105 1394 2210 2665 3485 5330 6970 9061 18122 45305 90610 4461253 8922506 22306265 44612530 57996289 75841301 115992578 151682602 182911373 289981445 365822746 379206505 579962890 758413010 914556865 985936913 1829113730 1971873826 2377847849 3109493341 4755695698 4929684565 6218986682 9859369130 11889239245 15547466705 23778478490 31094933410 40423413433 80846826866 202117067165 404234134330