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444400444040 = 23579743162901
BaseRepresentation
bin1100111011110000101…
…01001010001010001000
31120111002000211121220012
412131320111022022020
524240113003202130
6540053231451052
744051441306510
oct6357025121210
91514060747805
10444400444040
11161518513153
1272164986a88
1332ba327aa37
141771ad62840
15b85e8a5995
hex677854a288

444400444040 has 64 divisors (see below), whose sum is σ = 1142868303360. Its totient is φ = 152349292800.

The previous prime is 444400444003. The next prime is 444400444073. The reversal of 444400444040 is 40444004444.

It is a junction number, because it is equal to n+sod(n) for n = 444400443988 and 444400444006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646590 + ... + 2809490.

It is an arithmetic number, because the mean of its divisors is an integer number (17857317240).

Almost surely, 2444400444040 is an apocalyptic number.

444400444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444400444040 is an abundant number, since it is smaller than the sum of its proper divisors (698467859320).

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

444400444040 is a wasteful number, since it uses less digits than its factorization.

444400444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172662 (or 172658 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444400444040 its reverse (40444004444), we get a palindrome (484844448484).

The spelling of 444400444040 in words is "four hundred forty-four billion, four hundred million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9743 19486 38972 48715 68201 77944 97430 136402 162901 194860 272804 325802 341005 389720 545608 651604 682010 814505 1140307 1303208 1364020 1629010 2280614 2728040 3258020 4561228 5701535 6516040 9122456 11403070 22806140 45612280 1587144443 3174288886 6348577772 7935722215 11110011101 12697155544 15871444430 22220022202 31742888860 44440044404 55550055505 63485777720 88880088808 111100111010 222200222020 444400444040