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4043042120 = 23513231013347
BaseRepresentation
bin1111000011111011…
…1110110101001000
3101102202200211010202
43300332332311020
531240004321440
61505104231332
7202122201545
oct36076766510
911382624122
104043042120
111795212427
1294a00b548
134c5811b20
142a4d59bcc
15189e28615
hexf0fbed48

4043042120 has 128 divisors (see below), whose sum is σ = 10326839040. Its totient is φ = 1413350400.

The previous prime is 4043042117. The next prime is 4043042141. The reversal of 4043042120 is 212403404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4043042092 and 4043042101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206287 + ... + 1209633.

It is an arithmetic number, because the mean of its divisors is an integer number (80678430).

Almost surely, 24043042120 is an apocalyptic number.

4043042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163419520).

4043042120 is an abundant number, since it is smaller than the sum of its proper divisors (6283796920).

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

4043042120 is a wasteful number, since it uses less digits than its factorization.

4043042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4043042120 is about 63584.9205393858. The cubic root of 4043042120 is about 1593.0745094466.

Adding to 4043042120 its reverse (212403404), we get a palindrome (4255445524).

The spelling of 4043042120 in words is "four billion, forty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 101 104 115 130 184 202 230 260 299 404 460 505 520 598 808 920 1010 1196 1313 1495 2020 2323 2392 2626 2990 3347 4040 4646 5252 5980 6565 6694 9292 10504 11615 11960 13130 13388 16735 18584 23230 26260 26776 30199 33470 43511 46460 52520 60398 66940 76981 87022 92920 120796 133880 150995 153962 174044 217555 241592 301990 307924 338047 348088 384905 435110 603980 615848 676094 769810 870220 1000753 1207960 1352188 1539620 1690235 1740440 2001506 2704376 3079240 3380470 4003012 4394611 5003765 6760940 7775081 8006024 8789222 10007530 13521880 15550162 17578444 20015060 21973055 31100324 35156888 38875405 40030120 43946110 62200648 77750810 87892220 101076053 155501620 175784440 202152106 311003240 404304212 505380265 808608424 1010760530 2021521060 4043042120