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444314222000 = 24531120196101
BaseRepresentation
bin1100111011100110011…
…00001111110110110000
31120110212000121002111022
412131303030033312300
524234423420101000
6540040511435012
744046343400345
oct6356314176660
91513760532438
10444314222000
11161483882270
127213bb25a68
1332b8b44c58c
141770d71a7cc
15b857023585
hex677330fdb0

444314222000 has 80 divisors (see below), whose sum is σ = 1172020191264. Its totient is φ = 161568800000.

The previous prime is 444314221993. The next prime is 444314222021. The reversal of 444314222000 is 222413444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 10076051 + ... + 10120050.

Almost surely, 2444314222000 is an apocalyptic number.

444314222000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444314222000 is an abundant number, since it is smaller than the sum of its proper divisors (727705969264).

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

444314222000 is a wasteful number, since it uses less digits than its factorization.

444314222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20196135 (or 20196119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444314222000 its reverse (222413444), we get a palindrome (444536635444).

The spelling of 444314222000 in words is "four hundred forty-four billion, three hundred fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 20196101 40392202 80784404 100980505 161568808 201961010 222157111 323137616 403922020 444314222 504902525 807844040 888628444 1009805050 1110785555 1615688080 1777256888 2019610100 2221571110 2524512625 3554513776 4039220200 4443142220 5049025250 5553927775 8078440400 8886284440 10098050500 11107855550 17772568880 20196101000 22215711100 27769638875 40392202000 44431422200 55539277750 88862844400 111078555500 222157111000 444314222000