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4444436744 = 23113710712757
BaseRepresentation
bin1000010001110100…
…01011100100001000
3102110201222210001022
410020322023210020
533100233433434
62013003412012
7215065042346
oct41072134410
912421883038
104444436744
111980850120
12a40524008
1355aa21137
143023a4996
151b02b522e
hex108e8b908

4444436744 has 64 divisors (see below), whose sum is σ = 9424589760. Its totient is φ = 1947075840.

The previous prime is 4444436743. The next prime is 4444436753. The reversal of 4444436744 is 4476344444.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4444436695 and 4444436704.

It is not an unprimeable number, because it can be changed into a prime (4444436743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342014 + ... + 354770.

It is an arithmetic number, because the mean of its divisors is an integer number (147259215).

Almost surely, 24444436744 is an apocalyptic number.

4444436744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444436744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712294880).

4444436744 is an abundant number, since it is smaller than the sum of its proper divisors (4980153016).

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

4444436744 is a wasteful number, since it uses less digits than its factorization.

4444436744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918 (or 12914 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 44.

The square root of 4444436744 is about 66666.6089133083. The cubic root of 4444436744 is about 1644.1404333400.

The spelling of 4444436744 in words is "four billion, four hundred forty-four million, four hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 107 148 214 296 407 428 814 856 1177 1628 2354 3256 3959 4708 7918 9416 12757 15836 25514 31672 43549 51028 87098 102056 140327 174196 280654 348392 472009 561308 944018 1122616 1364999 1888036 2729998 3776072 5192099 5459996 10384198 10919992 15014989 20768396 30029978 41536792 50504963 60059956 101009926 120119912 202019852 404039704 555554593 1111109186 2222218372 4444436744