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444400202420 = 22561364262461
BaseRepresentation
bin1100111011110000101…
…00001111001010110100
31120111002000101100110022
412131320110033022310
524240112422434140
6540053222344312
744051436252206
oct6357024171264
91514060340408
10444400202420
11161518368669
127216488b098
1332ba31c4a75
141771acdc776
15b85e8590b5
hex677850f2b4

444400202420 has 24 divisors (see below), whose sum is σ = 948539451048. Its totient is φ = 174845980800.

The previous prime is 444400202401. The next prime is 444400202473. The reversal of 444400202420 is 24202004444.

It can be written as a sum of positive squares in 4 ways, for example, as 11549371024 + 432850831396 = 107468^2 + 657914^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444400202420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182130011 + ... + 182132450.

It is an arithmetic number, because the mean of its divisors is an integer number (39522477127).

Almost surely, 2444400202420 is an apocalyptic number.

It is an amenable number.

444400202420 is an abundant number, since it is smaller than the sum of its proper divisors (504139248628).

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

444400202420 is a wasteful number, since it uses less digits than its factorization.

444400202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364262531 (or 364262529 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 444400202420 its reverse (24202004444), we get a palindrome (468602206864).

The spelling of 444400202420 in words is "four hundred forty-four billion, four hundred million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 364262461 728524922 1457049844 1821312305 3642624610 7285249220 22220010121 44440020242 88880040484 111100050605 222200101210 444400202420