Search a number
-
+
442055000544520 = 235111021984006323
BaseRepresentation
bin110010010000010111111001…
…1010001110101010100001000
32010222012001020001021010112211
41210200233303101311110020
5430420112120114411040
64204101132544514504
7162053264002303036
oct14440576321652410
92128161201233484
10442055000544520
11118941522503720
12416b527931ba34
1315c877b9108c7c
147b2380d0a7556
153618ce96d08ea
hex1920bf3475508

442055000544520 has 64 divisors (see below), whose sum is σ = 1086106820178240. Its totient is φ = 160589831750400.

The previous prime is 442055000544517. The next prime is 442055000544527. The reversal of 442055000544520 is 25445000550244.

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

It is not an unprimeable number, because it can be changed into a prime (442055000544527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491553922 + ... + 492452401.

It is an arithmetic number, because the mean of its divisors is an integer number (16970419065285).

Almost surely, 2442055000544520 is an apocalyptic number.

442055000544520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442055000544520 is an abundant number, since it is smaller than the sum of its proper divisors (644051819633720).

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

442055000544520 is a wasteful number, since it uses less digits than its factorization.

442055000544520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984007366 (or 984007362 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 442055000544520 in words is "four hundred forty-two trillion, fifty-five billion, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1021 2042 4084 5105 8168 10210 11231 20420 22462 40840 44924 56155 89848 112310 224620 449240 984006323 1968012646 3936025292 4920031615 7872050584 9840063230 10824069553 19680126460 21648139106 39360252920 43296278212 54120347765 86592556424 108240695530 216481391060 432962782120 1004670455783 2009340911566 4018681823132 5023352278915 8037363646264 10046704557830 11051375013613 20093409115660 22102750027226 40186818231320 44205500054452 55256875068065 88411000108904 110513750136130 221027500272260 442055000544520