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4122443440 = 24561844763
BaseRepresentation
bin1111010110110111…
…0111111010110000
3101122022002211021101
43311231313322300
531420321142230
61521022134144
7204105122353
oct36555677260
911568084241
104122443440
111826014855
12970721354
135090c285b
142b170829a
15191daeaca
hexf5b77eb0

4122443440 has 40 divisors (see below), whose sum is σ = 9741818448. Its totient is φ = 1621943040.

The previous prime is 4122443431. The next prime is 4122443443. The reversal of 4122443440 is 443442214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4122443399 and 4122443408.

It is not an unprimeable number, because it can be changed into a prime (4122443443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417502 + ... + 427261.

Almost surely, 24122443440 is an apocalyptic number.

4122443440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122443440 is an abundant number, since it is smaller than the sum of its proper divisors (5619375008).

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

4122443440 is a wasteful number, since it uses less digits than its factorization.

4122443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844837 (or 844831 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4122443440 is about 64206.2570159638. The cubic root of 4122443440 is about 1603.4357731334.

Adding to 4122443440 its reverse (443442214), we get a palindrome (4565885654).

The spelling of 4122443440 in words is "four billion, one hundred twenty-two million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 844763 1689526 3379052 4223815 6758104 8447630 13516208 16895260 33790520 51530543 67581040 103061086 206122172 257652715 412244344 515305430 824488688 1030610860 2061221720 4122443440