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4010042340 = 22325192115557
BaseRepresentation
bin1110111100000100…
…0110001111100100
3101100110121020221200
43233001012033210
531203032323330
61501525042500
7201241540353
oct35701061744
911313536850
104010042340
111778623187
1293ab56430
134bba29625
142a080999a
151870aaa60
hexef0463e4

4010042340 has 144 divisors (see below), whose sum is σ = 12866992320. Its totient is φ = 1008080640.

The previous prime is 4010042327. The next prime is 4010042383. The reversal of 4010042340 is 432400104.

4010042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718842 + ... + 724398.

Almost surely, 24010042340 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 4010042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433496160).

4010042340 is an abundant number, since it is smaller than the sum of its proper divisors (8856949980).

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

4010042340 is a wasteful number, since it uses less digits than its factorization.

4010042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4010042340 is about 63324.8951045322. The cubic root of 4010042340 is about 1588.7283768898.

Adding to 4010042340 its reverse (432400104), we get a palindrome (4442442444).

The spelling of 4010042340 in words is "four billion, ten million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 211 228 285 342 380 422 570 633 684 844 855 1055 1140 1266 1710 1899 2110 2532 3165 3420 3798 4009 4220 5557 6330 7596 8018 9495 11114 12027 12660 16036 16671 18990 20045 22228 24054 27785 33342 36081 37980 40090 48108 50013 55570 60135 66684 72162 80180 83355 100026 105583 111140 120270 144324 166710 180405 200052 211166 240540 250065 316749 333420 360810 422332 500130 527915 633498 721620 950247 1000260 1055830 1172527 1266996 1583745 1900494 2111660 2345054 3167490 3517581 3800988 4690108 4751235 5862635 6334980 7035162 9502470 10552743 11725270 14070324 17587905 19004940 21105486 22278013 23450540 35175810 42210972 44556026 52763715 66834039 70351620 89112052 105527430 111390065 133668078 200502117 211054860 222780130 267336156 334170195 401004234 445560260 668340390 802008468 1002510585 1336680780 2005021170 4010042340