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443422202224344 = 23372547689323027
BaseRepresentation
bin110010011010010100100011…
…0110110010101111011011000
32011011000202012200102122000120
41210310221012312111323120
5431110012132232134334
64211025203021433240
7162254124352653300
oct14464510666257330
92134022180378016
10443422202224344
11119319333187582
124189623a40b820
13160566c398b2a5
147b6da6b760600
15363e66820e949
hex1934a46d95ed8

443422202224344 has 96 divisors (see below), whose sum is σ = 1291901646156480. Its totient is φ = 126460445057856.

The previous prime is 443422202224319. The next prime is 443422202224363.

443422202224344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 443422202224296 and 443422202224305.

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, 344018242 + ... + 345304785.

It is an arithmetic number, because the mean of its divisors is an integer number (13457308814130).

Almost surely, 2443422202224344 is an apocalyptic number.

It is an amenable number.

443422202224344 is an abundant number, since it is smaller than the sum of its proper divisors (848479443932136).

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

443422202224344 is a wasteful number, since it uses less digits than its factorization.

443422202224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689323597 (or 689323586 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 44342220 and 2224344, that added together give a palindrome (46566564).

The spelling of 443422202224344 in words is "four hundred forty-three trillion, four hundred twenty-two billion, two hundred two million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 547 588 1094 1176 1641 2188 3282 3829 4376 6564 7658 11487 13128 15316 22974 26803 30632 45948 53606 80409 91896 107212 160818 214424 321636 643272 689323027 1378646054 2067969081 2757292108 4135938162 4825261189 5514584216 8271876324 9650522378 14475783567 16543752648 19301044756 28951567134 33776828323 38602089512 57903134268 67553656646 101330484969 115806268536 135107313292 202660969938 270214626584 377059695769 405321939876 754119391538 810643879752 1131179087307 1508238783076 2262358174614 2639417870383 3016477566152 4524716349228 5278835740766 7918253611149 9049432698456 10557671481532 15836507222298 18475925092681 21115342963064 31673014444596 36951850185362 55427775278043 63346028889192 73903700370724 110855550556086 147807400741448 221711101112172 443422202224344