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4444404040 = 235537129527
BaseRepresentation
bin1000010001110100…
…00011100101001000
3102110201221010012001
410020322003211020
533100231412130
62013003000344
7215064545116
oct41072034510
912421833161
104444404040
11198082859a
12a405090b4
1355aa0c29b
14302396ab6
151b02aa6ca
hex108e83948

4444404040 has 64 divisors (see below), whose sum is σ = 10332437760. Its totient is φ = 1719594240.

The previous prime is 4444404037. The next prime is 4444404053. The reversal of 4444404040 is 404044444.

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, 135757 + ... + 165283.

It is an arithmetic number, because the mean of its divisors is an integer number (161444340).

Almost surely, 24444404040 is an apocalyptic number.

4444404040 is a gapful number since it is divisible by the number (40) 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 4444404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166218880).

4444404040 is an abundant number, since it is smaller than the sum of its proper divisors (5888033720).

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

4444404040 is a wasteful number, since it uses less digits than its factorization.

4444404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29662 (or 29658 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4444404040 is about 66666.3636326446. The cubic root of 4444404040 is about 1644.1364005754.

Adding to 4444404040 its reverse (404044444), we get a palindrome (4848448484).

The spelling of 4444404040 in words is "four billion, four hundred forty-four million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 71 106 142 212 265 284 355 424 530 568 710 1060 1420 2120 2840 3763 7526 15052 18815 29527 30104 37630 59054 75260 118108 147635 150520 236216 295270 590540 1181080 1564931 2096417 3129862 4192834 6259724 7824655 8385668 10482085 12519448 15649310 16771336 20964170 31298620 41928340 62597240 83856680 111110101 222220202 444440404 555550505 888880808 1111101010 2222202020 4444404040