Search a number
-
+
4121311340 = 225269773991
BaseRepresentation
bin1111010110100110…
…0011100001101100
3101122012222022022202
43311221203201230
531420023430330
61520542001032
7204062365646
oct36551434154
911565868282
104121311340
111825411233
12970276178
13508ab7483
142b14d1896
15191c39445
hexf5a6386c

4121311340 has 48 divisors (see below), whose sum is σ = 8706942720. Its totient is φ = 1638616320.

The previous prime is 4121311331. The next prime is 4121311351. The reversal of 4121311340 is 431131214.

4121311340 = 101312 + 101322 + ... + 101702.

It is a super-2 number, since 2×41213113402 = 33970414322425191200, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4158245 + ... + 4159235.

It is an arithmetic number, because the mean of its divisors is an integer number (181394640).

Almost surely, 24121311340 is an apocalyptic number.

It is an amenable number.

4121311340 is an abundant number, since it is smaller than the sum of its proper divisors (4585631380).

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

4121311340 is a wasteful number, since it uses less digits than its factorization.

4121311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4121311340 is about 64197.4402916503. The cubic root of 4121311340 is about 1603.2889818871.

Adding to 4121311340 its reverse (431131214), we get a palindrome (4552442554).

The spelling of 4121311340 in words is "four billion, one hundred twenty-one million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 269 538 773 991 1076 1345 1546 1982 2690 3092 3865 3964 4955 5380 7730 9910 15460 19820 207937 266579 415874 533158 766043 831748 1039685 1066316 1332895 1532086 2079370 2665790 3064172 3830215 4158740 5331580 7660430 15320860 206065567 412131134 824262268 1030327835 2060655670 4121311340