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444201142222404 = 223274314089798017
BaseRepresentation
bin110010011111111111010001…
…1010010100111111001000100
32011020210012210100110102110100
41210333332203102213321010
5431210242414402104104
64212423104305124100
7162364321253464620
oct14477764322477104
92136705710412410
10444201142222404
11119599712537096
12419a11a7929630
13160b1cac775048
147b99642b14180
153654a576a1139
hex193ffa34a7e44

444201142222404 has 72 divisors (see below), whose sum is σ = 1286225117468928. Its totient is φ = 126620146575360.

The previous prime is 444201142222309. The next prime is 444201142222421. The reversal of 444201142222404 is 404222241102444.

444201142222404 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 0 + 1 + 1 + 422 + 224 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044790397 + ... + 2045007620.

It is an arithmetic number, because the mean of its divisors is an integer number (17864237742624).

Almost surely, 2444201142222404 is an apocalyptic number.

It is an amenable number.

444201142222404 is an abundant number, since it is smaller than the sum of its proper divisors (842023975246524).

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

444201142222404 is a wasteful number, since it uses less digits than its factorization.

444201142222404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089798465 (or 4089798460 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 444201142222404 its reverse (404222241102444), we get a palindrome (848423383324848).

The spelling of 444201142222404 in words is "four hundred forty-four trillion, two hundred one billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 431 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 12068 15516 18102 27153 36204 54306 108612 4089798017 8179596034 12269394051 16359192068 24538788102 28628586119 36808182153 49077576204 57257172238 73616364306 85885758357 114514344476 147232728612 171771516714 257657275071 343543033428 515314550142 1030629100284 1762702945327 3525405890654 5288108835981 7050811781308 10576217671962 12338920617289 15864326507943 21152435343924 24677841234578 31728653015886 37016761851867 49355682469156 63457306031772 74033523703734 111050285555601 148067047407468 222100571111202 444201142222404