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4400444440 = 235715715873
BaseRepresentation
bin1000001100100100…
…10111010000011000
3102100200012201221201
410012102113100120
533003003210230
62004352443544
7214022106040
oct40622272030
912320181851
104400444440
111958a33047
12a298495b4
1355188a3a2
142da5d2720
151ab4c55ca
hex106497418

4400444440 has 32 divisors (see below), whose sum is σ = 11315429280. Its totient is φ = 1508723712.

The previous prime is 4400444423. The next prime is 4400444459. The reversal of 4400444440 is 444440044.

It is a super-2 number, since 2×44004444402 = 38727822539053827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4400444399 and 4400444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7857657 + ... + 7858216.

It is an arithmetic number, because the mean of its divisors is an integer number (353607165).

Almost surely, 24400444440 is an apocalyptic number.

4400444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400444440 is an abundant number, since it is smaller than the sum of its proper divisors (6914984840).

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

4400444440 is a wasteful number, since it uses less digits than its factorization.

4400444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715891 (or 15715887 counting only the distinct ones).

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

The square root of 4400444440 is about 66335.8458150644. The cubic root of 4400444440 is about 1638.6977119416.

Adding to 4400444440 its reverse (444440044), we get a palindrome (4844884484).

The spelling of 4400444440 in words is "four billion, four hundred million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15715873 31431746 62863492 78579365 110011111 125726984 157158730 220022222 314317460 440044444 550055555 628634920 880088888 1100111110 2200222220 4400444440