Search a number
-
+
4002411423120 = 2435113374498709
BaseRepresentation
bin111010001111100010010…
…011111010010110010000
3112011121220221012200120120
4322033202103322112100
51011033414311014440
612302403223110240
7562110325524165
oct72174223722620
915147827180516
104002411423120
11130345a9a6540
1254783b5a2380
1323056c583916
14dba096d406c
156e1a2a3add0
hex3a3e24fa590

4002411423120 has 160 divisors (see below), whose sum is σ = 13575595213440. Its totient is φ = 967402168320.

The previous prime is 4002411423107. The next prime is 4002411423137. The reversal of 4002411423120 is 213241142004.

4002411423120 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 (24).

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, 1359675 + ... + 3139034.

It is an arithmetic number, because the mean of its divisors is an integer number (84847470084).

Almost surely, 24002411423120 is an apocalyptic number.

4002411423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002411423120 is an abundant number, since it is smaller than the sum of its proper divisors (9573183790320).

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

4002411423120 is a wasteful number, since it uses less digits than its factorization.

4002411423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499073 (or 4499067 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4002411423120 its reverse (213241142004), we get a palindrome (4215652565124).

The spelling of 4002411423120 in words is "four trillion, two billion, four hundred eleven million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 337 440 528 660 674 880 1011 1320 1348 1685 2022 2640 2696 3370 3707 4044 5055 5392 6740 7414 8088 10110 11121 13480 14828 16176 18535 20220 22242 26960 29656 37070 40440 44484 55605 59312 74140 80880 88968 111210 148280 177936 222420 296560 444840 889680 4498709 8997418 13496127 17994836 22493545 26992254 35989672 44987090 49485799 53984508 67480635 71979344 89974180 98971598 107969016 134961270 148457397 179948360 197943196 215938032 247428995 269922540 296914794 359896720 395886392 494857990 539845080 593829588 742286985 791772784 989715980 1079690160 1187659176 1484573970 1516064933 1979431960 2375318352 2969147940 3032129866 3958863920 4548194799 5938295880 6064259732 7580324665 9096389598 11876591760 12128519464 15160649330 16676714263 18192779196 22740973995 24257038928 30321298660 33353428526 36385558392 45481947990 50030142789 60642597320 66706857052 72771116784 83383571315 90963895980 100060285578 121285194640 133413714104 166767142630 181927791960 200120571156 250150713945 266827428208 333534285260 363855583920 400241142312 500301427890 667068570520 800482284624 1000602855780 1334137141040 2001205711560 4002411423120