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404344543032040 = 235133553612188157
BaseRepresentation
bin101101111101111111100110…
…0110110101011001011101000
31222000122221221102110022200111
41123323333030312223023220
5410444240111004011130
63551545152501544104
7151111633500246232
oct13373771466531350
91860587842408614
10404344543032040
11107922615334836
1239424821415034
13144806b04b9a80
1471bc5477a5252
1531b2de201d02a
hex16fbfccdab2e8

404344543032040 has 64 divisors (see below), whose sum is σ = 979761136026960. Its totient is φ = 149295958302720.

The previous prime is 404344543032019. The next prime is 404344543032041. The reversal of 404344543032040 is 40230345443404.

It can be written as a sum of positive squares in 8 ways, for example, as 66833339127556 + 337511203904484 = 8175166^2 + 18371478^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 404344543031984 and 404344543032002.

It is not an unprimeable number, because it can be changed into a prime (404344543032041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183693642 + ... + 185881798.

Almost surely, 2404344543032040 is an apocalyptic number.

404344543032040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404344543032040 is an abundant number, since it is smaller than the sum of its proper divisors (575416592994920).

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

404344543032040 is a wasteful number, since it uses less digits than its factorization.

404344543032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543542 (or 2543538 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 404344543032040 its reverse (40230345443404), we get a palindrome (444574888475444).

The spelling of 404344543032040 in words is "four hundred four trillion, three hundred forty-four billion, five hundred forty-three million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 355361 710722 1421444 1776805 2188157 2842888 3553610 4376314 4619693 7107220 8752628 9239386 10940785 14214440 17505256 18478772 21881570 23098465 28446041 36957544 43763140 46196930 56892082 87526280 92393860 113784164 142230205 184787720 227568328 284460410 568920820 1137841640 777585659677 1555171319354 3110342638708 3887928298385 6220685277416 7775856596770 10108613575801 15551713193540 20217227151602 31103426387080 40434454303204 50543067879005 80868908606408 101086135758010 202172271516020 404344543032040