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4404404440 = 2351920692801
BaseRepresentation
bin1000001101000010…
…11110000011011000
3102100221122221001101
410012201132003120
533010011420230
62005013401144
7214100551162
oct40641360330
912327587041
104404404440
111960198277
12a2b0391b4
13552645997
142dad43932
151aba08aca
hex10685e0d8

4404404440 has 64 divisors (see below), whose sum is σ = 10440252000. Its totient is φ = 1667635200.

The previous prime is 4404404363. The next prime is 4404404443. The reversal of 4404404440 is 444044044.

It is a junction number, because it is equal to n+sod(n) for n = 4404404399 and 4404404408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404404443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571040 + ... + 1573840.

Almost surely, 24404404440 is an apocalyptic number.

4404404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404404440 is an abundant number, since it is smaller than the sum of its proper divisors (6035847560).

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

4404404440 is a wasteful number, since it uses less digits than its factorization.

4404404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4896 counting only the distinct ones).

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

The square root of 4404404440 is about 66365.6872186222. The cubic root of 4404404440 is about 1639.1891242238.

Adding to 4404404440 its reverse (444044044), we get a palindrome (4848448484).

The spelling of 4404404440 in words is "four billion, four hundred four million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2069 2801 4138 5602 8276 10345 11204 14005 16552 20690 22408 28010 39311 41380 53219 56020 78622 82760 106438 112040 157244 196555 212876 266095 314488 393110 425752 532190 786220 1064380 1572440 2128760 5795269 11590538 23181076 28976345 46362152 57952690 110110111 115905380 220220222 231810760 440440444 550550555 880880888 1101101110 2202202220 4404404440