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442220141022244 = 2213101111977519901
BaseRepresentation
bin110010010001100100110011…
…0011010110000110000100100
32010222202211110222012121022121
41210203021212122300300210
5430430313322100202434
64204305043410235324
7162101231225223544
oct14443114632606044
92128684428177277
10442220141022244
111189a5565a51882
1241721286585b44
1315c9a24634b090
147b2b7d75a9324
15361d2625c27b4
hex19232666b0c24

442220141022244 has 48 divisors (see below), whose sum is σ = 841741794509616. Its totient is φ = 202062720960000.

The previous prime is 442220141022227. The next prime is 442220141022277.

442220141022244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 72291076900 + 442147849945344 = 268870^2 + 21027312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55046694 + ... + 62566594.

It is an arithmetic number, because the mean of its divisors is an integer number (17536287385617).

Almost surely, 2442220141022244 is an apocalyptic number.

It is an amenable number.

442220141022244 is a deficient number, since it is larger than the sum of its proper divisors (399521653487372).

442220141022244 is a wasteful number, since it uses less digits than its factorization.

442220141022244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531216 (or 7531214 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 442220141022244 in words is "four hundred forty-two trillion, two hundred twenty billion, one hundred forty-one million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 101 202 404 1313 2626 5252 11197 22394 44788 145561 291122 582244 1130897 2261794 4523588 7519901 14701661 15039802 29403322 30079604 58806644 97758713 195517426 391034852 759510001 1519020002 3038040004 9873630013 19747260026 39494520052 84200331497 168400662994 336801325988 1094604309461 2189208618922 4378417237844 8504233481197 17008466962394 34016933924788 110555035255561 221110070511122 442220141022244