Search a number
-
+
404011404054520 = 23546768491315779
BaseRepresentation
bin101101111011100100011110…
…0001110010100111111111000
31221222111010001101200210220121
41123313020330032110333320
5410423310323414221040
63551132135441303024
7151045601135541013
oct13367107416247770
91858433041623817
10404011404054520
11107804302040209
1239390149934a74
131445815bba1a32
1471aa38339637a
1531a93e538cc4a
hex16f723c394ff8

404011404054520 has 64 divisors (see below), whose sum is σ = 910988366371200. Its totient is φ = 161255648200320.

The previous prime is 404011404054499. The next prime is 404011404054521. The reversal of 404011404054520 is 25450404110404.

It is a super-2 number, since 2×4040114040545202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404011404054521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279253991 + ... + 1279569769.

It is an arithmetic number, because the mean of its divisors is an integer number (14234193224550).

Almost surely, 2404011404054520 is an apocalyptic number.

404011404054520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404011404054520 is an abundant number, since it is smaller than the sum of its proper divisors (506976962316680).

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

404011404054520 is a wasteful number, since it uses less digits than its factorization.

404011404054520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384748 (or 384744 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 404011404054520 its reverse (25450404110404), we get a palindrome (429461808164924).

The spelling of 404011404054520 in words is "four hundred four trillion, eleven billion, four hundred four million, fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 467 934 1868 2335 3736 4670 9340 18680 68491 136982 273964 315779 342455 547928 631558 684910 1263116 1369820 1578895 2526232 2739640 3157790 6315580 12631160 31985297 63970594 127941188 147468793 159926485 255882376 294937586 319852970 589875172 639705940 737343965 1179750344 1279411880 1474687930 2949375860 5898751720 21628019489 43256038978 86512077956 108140097445 173024155912 216280194890 432560389780 865120779560 10100285101363 20200570202726 40401140405452 50501425506815 80802280810904 101002851013630 202005702027260 404011404054520