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442276545672244 = 222373137829157977
BaseRepresentation
bin110010010001111111000100…
…0011001011011010000110100
32010222222020001220111201001201
41210203332020121123100310
5430432224331143002434
64204351012401502244
7162105266046644353
oct14443761031332064
92128866056451051
10442276545672244
11118a1747a9a71a8
12417301a8341984
1315ca2664c6581a
147b3042875d99a
15361e964381614
hex1923f8865b434

442276545672244 has 96 divisors (see below), whose sum is σ = 824788527042816. Its totient is φ = 207074613841920.

The previous prime is 442276545672233. The next prime is 442276545672259.

442276545672244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7628453784 + ... + 7628511760.

It is an arithmetic number, because the mean of its divisors is an integer number (8591547156696).

Almost surely, 2442276545672244 is an apocalyptic number.

It is an amenable number.

442276545672244 is a deficient number, since it is larger than the sum of its proper divisors (382511981370572).

442276545672244 is a wasteful number, since it uses less digits than its factorization.

442276545672244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66505 (or 66503 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 64.

The spelling of 442276545672244 in words is "four hundred forty-two trillion, two hundred seventy-six billion, five hundred forty-five million, six hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 4 23 46 73 92 137 146 274 292 548 1679 3151 3358 6302 6716 8291 10001 12604 16582 20002 33164 40004 57977 115954 190693 230023 231908 381386 460046 605243 762772 920092 1135867 1210486 1333471 2271734 2420972 2666942 4232321 4543468 5333884 7942849 8464642 13920589 15885698 16929284 26124941 27841178 31771396 52249882 55682356 82918291 97343383 104499764 165836582 182685527 194686766 331673164 365371054 389373532 480687307 579827977 730742108 961374614 1159655954 1907120693 1922749228 2319311908 3814241386 7628482772 11055808061 13336043471 22111616122 26672086942 35090173411 44223232244 53344173884 65854161059 70180346822 131708322118 140360693644 263416644236 807073988453 1514645704357 1614147976906 3029291408714 3228295953812 4807353757307 6058582817428 9614707514614 19229415029228 110569136418061 221138272836122 442276545672244