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4024044420 = 22351129320809
BaseRepresentation
bin1110111111011010…
…0000101110000100
3101101102221122012020
43233312200232010
531220123410140
61503145123140
7201501545634
oct35766405604
911342848166
104024044420
111785517150
129437894b0
134c18bc996
142a26126c4
151884246d0
hexefda0b84

4024044420 has 96 divisors (see below), whose sum is σ = 12334170240. Its totient is φ = 972149760.

The previous prime is 4024044331. The next prime is 4024044433. The reversal of 4024044420 is 244404204.

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 31 ways as a sum of consecutive naturals, for example, 182976 + ... + 203784.

It is an arithmetic number, because the mean of its divisors is an integer number (128480940).

Almost surely, 24024044420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167085120).

4024044420 is an abundant number, since it is smaller than the sum of its proper divisors (8310125820).

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

4024044420 is a wasteful number, since it uses less digits than its factorization.

4024044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125 (or 21123 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4024044420 is about 63435.3562297872. The cubic root of 4024044420 is about 1590.5753781698.

Adding to 4024044420 its reverse (244404204), we get a palindrome (4268448624).

The spelling of 4024044420 in words is "four billion, twenty-four million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 293 330 586 660 879 1172 1465 1758 2930 3223 3516 4395 5860 6446 8790 9669 12892 16115 17580 19338 20809 32230 38676 41618 48345 62427 64460 83236 96690 104045 124854 193380 208090 228899 249708 312135 416180 457798 624270 686697 915596 1144495 1248540 1373394 2288990 2746788 3433485 4577980 6097037 6866970 12194074 13733940 18291111 24388148 30485185 36582222 60970370 67067407 73164444 91455555 121940740 134134814 182911110 201202221 268269628 335337035 365822220 402404442 670674070 804808884 1006011105 1341348140 2012022210 4024044420