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4434254440 = 2357111439693
BaseRepresentation
bin1000010000100110…
…10101101001101000
3102110000211110112221
410020103111221220
533040132120230
62012001243424
7214612353340
oct41023255150
912400743487
104434254440
111976025aa0
12a39033574
135588975c5
14300cb3d20
151ae45327a
hex1084d5a68

4434254440 has 64 divisors (see below), whose sum is σ = 12438956160. Its totient is φ = 1382104320.

The previous prime is 4434254431. The next prime is 4434254441. The reversal of 4434254440 is 444524344.

It is a super-2 number, since 2×44342544402 = 39325224877319427200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4434254396 and 4434254405.

It is not an unprimeable number, because it can be changed into a prime (4434254441) 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, 716767 + ... + 722926.

It is an arithmetic number, because the mean of its divisors is an integer number (194358690).

Almost surely, 24434254440 is an apocalyptic number.

4434254440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434254440 is an abundant number, since it is smaller than the sum of its proper divisors (8004701720).

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

4434254440 is a wasteful number, since it uses less digits than its factorization.

4434254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439722 (or 1439718 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

The square root of 4434254440 is about 66590.1977771504. The cubic root of 4434254440 is about 1642.8838857542.

Adding to 4434254440 its reverse (444524344), we get a palindrome (4878778784).

The spelling of 4434254440 in words is "four billion, four hundred thirty-four million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 1439693 2879386 5758772 7198465 10077851 11517544 14396930 15836623 20155702 28793860 31673246 40311404 50389255 57587720 63346492 79183115 80622808 100778510 110856361 126692984 158366230 201557020 221712722 316732460 403114040 443425444 554281805 633464920 886850888 1108563610 2217127220 4434254440