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441022112144244 = 2232223721317256901
BaseRepresentation
bin110010001000110110111011…
…0010101010001101101110100
32010211112022011021111212101200
41210101231312111101231310
5430301201241202103434
64201550432241452500
7161615540032616061
oct14421556625215564
92124468137455350
10441022112144244
11118583477978934
1241569059041130
1315c1128c239367
147ac9826b7dc68
1535ebee5993199
hex1911b76551b74

441022112144244 has 72 divisors (see below), whose sum is σ = 1115360904746088. Its totient is φ = 146934189292800.

The previous prime is 441022112144239. The next prime is 441022112144279. The reversal of 441022112144244 is 442441211220144.

441022112144244 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 2 + 2 + 11 + 214 + 424 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170550801440100 + 270471310704144 = 13059510^2 + 16446012^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 441022112144199 and 441022112144208.

It is a congruent number.

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, 1716572194 + ... + 1716829094.

It is an arithmetic number, because the mean of its divisors is an integer number (15491123677029).

Almost surely, 2441022112144244 is an apocalyptic number.

It is an amenable number.

441022112144244 is an abundant number, since it is smaller than the sum of its proper divisors (674338792601844).

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

441022112144244 is a wasteful number, since it uses less digits than its factorization.

441022112144244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280465 (or 280460 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 441022112144244 its reverse (442441211220144), we get a palindrome (883463323364388).

The spelling of 441022112144244 in words is "four hundred forty-one trillion, twenty-two billion, one hundred twelve million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2237 4474 6711 8948 13422 20133 21317 26844 40266 42634 63951 80532 85268 127902 191853 255804 256901 383706 513802 767412 770703 1027604 1541406 2312109 3082812 4624218 9248436 47686129 95372258 143058387 190744516 286116774 429175161 572233548 574687537 858350322 1149375074 1716700644 1724062611 2298750148 3448125222 5172187833 5476358617 6896250444 10344375666 10952717234 16429075851 20688751332 21905434468 32858151702 49287227553 65716303404 98574455106 197148910212 12250614226229 24501228452458 36751842678687 49002456904916 73503685357374 110255528036061 147007370714748 220511056072122 441022112144244