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4040141220 = 2233519133911
BaseRepresentation
bin1111000011001111…
…1010100110100100
3101102120020102212000
43300303322212210
531233234004340
61504522125300
7202055430243
oct36063724644
911376212760
104040141220
111793610995
12949050830
134c503760b
142a480295a
15189a53d30
hexf0cfa9a4

4040141220 has 96 divisors (see below), whose sum is σ = 12579114240. Its totient is φ = 1076532480.

The previous prime is 4040141219. The next prime is 4040141221. The reversal of 4040141220 is 221410404.

4040141220 is a `hidden beast` number, since 4 + 0 + 401 + 41 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (4040141219) and next prime (4040141221).

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

It is a junction number, because it is equal to n+sod(n) for n = 4040141193 and 4040141202.

It is not an unprimeable number, because it can be changed into a prime (4040141221) by changing a digit.

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, 1031065 + ... + 1034975.

It is an arithmetic number, because the mean of its divisors is an integer number (131032440).

Almost surely, 24040141220 is an apocalyptic number.

It is an amenable number.

4040141220 is an abundant number, since it is smaller than the sum of its proper divisors (8538973020).

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

4040141220 is a wasteful number, since it uses less digits than its factorization.

4040141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4040141220 is about 63562.1052200130. The cubic root of 4040141220 is about 1592.6934056946.

Adding to 4040141220 its reverse (221410404), we get a palindrome (4261551624).

The spelling of 4040141220 in words is "four billion, forty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1913 3826 3911 5739 7652 7822 9565 11478 11733 15644 17217 19130 19555 22956 23466 28695 34434 35199 38260 39110 46932 51651 57390 58665 68868 70398 78220 86085 103302 105597 114780 117330 140796 172170 175995 206604 211194 234660 258255 344340 351990 422388 516510 527985 703980 1033020 1055970 2111940 7481743 14963486 22445229 29926972 37408715 44890458 67335687 74817430 89780916 112226145 134671374 149634860 202007061 224452290 269342748 336678435 404014122 448904580 673356870 808028244 1010035305 1346713740 2020070610 4040141220