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4444561000 = 235311404051
BaseRepresentation
bin1000010001110101…
…01001111001101000
3102110202020002111101
410020322221321220
533100301423000
62013010211144
7215066100535
oct41072517150
912422202441
104444561000
111980925510
12a40583ab4
1355aa65869
143023d7d8c
151b02dbe6a
hex108ea9e68

4444561000 has 64 divisors (see below), whose sum is σ = 11345780160. Its totient is φ = 1616200000.

The previous prime is 4444560947. The next prime is 4444561013. The reversal of 4444561000 is 1654444.

It is a self number, because there is not a number n which added to its sum of digits gives 4444561000.

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, 191026 + ... + 213025.

It is an arithmetic number, because the mean of its divisors is an integer number (177277815).

Almost surely, 24444561000 is an apocalyptic number.

4444561000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444561000 is an abundant number, since it is smaller than the sum of its proper divisors (6901219160).

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

4444561000 is a wasteful number, since it uses less digits than its factorization.

4444561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404083 (or 404069 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4444561000 is about 66667.5408276022. The cubic root of 4444561000 is about 1644.1557552973.

The spelling of 4444561000 in words is "four billion, four hundred forty-four million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 404051 808102 1616204 2020255 3232408 4040510 4444561 8081020 8889122 10101275 16162040 17778244 20202550 22222805 35556488 40405100 44445610 50506375 80810200 88891220 101012750 111114025 177782440 202025500 222228050 404051000 444456100 555570125 888912200 1111140250 2222280500 4444561000