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404221142454552 = 233229423190809317
BaseRepresentation
bin101101111101000110001000…
…1100110110101000100011000
31222000020011102102111110211200
41123322030101212311010120
5410440224344432021202
63551412343531154200
7151100004506532603
oct13372142146650430
91860204372443750
10404221142454552
1110788525098a4a5
12394049228a5960
1314471b75936a97
1471b659c98133a
1531aeabd748e1c
hex16fa3119b5118

404221142454552 has 48 divisors (see below), whose sum is σ = 1094802807702240. Its totient is φ = 134735800688448.

The previous prime is 404221142454551. The next prime is 404221142454611. The reversal of 404221142454552 is 255454241122404.

404221142454552 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 2 + 1 + 1 + 42 + 4 + 54 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 404221142454498 and 404221142454507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404221142454551) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93286203 + ... + 97523114.

It is an arithmetic number, because the mean of its divisors is an integer number (22808391827130).

Almost surely, 2404221142454552 is an apocalyptic number.

It is an amenable number.

404221142454552 is an abundant number, since it is smaller than the sum of its proper divisors (690581665247688).

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

404221142454552 is a wasteful number, since it uses less digits than its factorization.

404221142454552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190838752 (or 190838745 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 404221142454552 its reverse (255454241122404), we get a palindrome (659675383576956).

The spelling of 404221142454552 in words is "four hundred four trillion, two hundred twenty-one billion, one hundred forty-two million, four hundred fifty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29423 58846 88269 117692 176538 235384 264807 353076 529614 706152 1059228 2118456 190809317 381618634 572427951 763237268 1144855902 1526474536 1717283853 2289711804 3434567706 4579423608 6869135412 13738270824 5614182534091 11228365068182 16842547602273 22456730136364 33685095204546 44913460272728 50527642806819 67370190409092 101055285613638 134740380818184 202110571227276 404221142454552