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4414024140 = 2235195716781
BaseRepresentation
bin1000001110001100…
…01010100111001100
3102101121202122210120
410013012022213030
533014442233030
62005555504540
7214245405021
oct40706124714
912347678716
104414024140
111965668739
12a322b8150
13554633406
142dc329548
151ac7a9010
hex10718a9cc

4414024140 has 96 divisors (see below), whose sum is σ = 13034461440. Its totient is φ = 1113004800.

The previous prime is 4414024123. The next prime is 4414024157. The reversal of 4414024140 is 414204144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4414024123) and next prime (4414024157).

It is a self number, because there is not a number n which added to its sum of digits gives 4414024140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647550 + ... + 654330.

It is an arithmetic number, because the mean of its divisors is an integer number (135775640).

Almost surely, 24414024140 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 4414024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517230720).

4414024140 is an abundant number, since it is smaller than the sum of its proper divisors (8620437300).

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

4414024140 is a wasteful number, since it uses less digits than its factorization.

4414024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4414024140 is about 66438.1226405443. The cubic root of 4414024140 is about 1640.3816457626.

Adding to 4414024140 its reverse (414204144), we get a palindrome (4828228284).

The spelling of 4414024140 in words is "four billion, four hundred fourteen million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 571 1140 1142 1713 2284 2855 3426 5710 6781 6852 8565 10849 11420 13562 17130 20343 21698 27124 32547 33905 34260 40686 43396 54245 65094 67810 81372 101715 108490 128839 130188 135620 162735 203430 216980 257678 325470 386517 406860 515356 644195 650940 773034 1288390 1546068 1932585 2576780 3865170 3871951 7730340 7743902 11615853 15487804 19359755 23231706 38719510 46463412 58079265 73567069 77439020 116158530 147134138 220701207 232317060 294268276 367835345 441402414 735670690 882804828 1103506035 1471341380 2207012070 4414024140