Search a number
-
+
4140040110 = 235614794723
BaseRepresentation
bin1111011011000011…
…1111111110101110
3101200112012211100220
43312300333332232
531434322240420
61522451232210
7204410521533
oct36660777656
911615184326
104140040110
111834a43458
129765a8666
1350c94409b
142b3ba8d8a
151936d8840
hexf6c3ffae

4140040110 has 64 divisors (see below), whose sum is σ = 10122209280. Its totient is φ = 1083415680.

The previous prime is 4140040103. The next prime is 4140040133. The reversal of 4140040110 is 110400414.

It is a super-2 number, since 2×41400401102 = 34279864224817624200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4140040110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874209 + ... + 878931.

It is an arithmetic number, because the mean of its divisors is an integer number (158159520).

Almost surely, 24140040110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140040110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061104640).

4140040110 is an abundant number, since it is smaller than the sum of its proper divisors (5982169170).

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

4140040110 is a wasteful number, since it uses less digits than its factorization.

4140040110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4140040110 is about 64343.1434575589. The cubic root of 4140040110 is about 1605.7139592006.

Adding to 4140040110 its reverse (110400414), we get a palindrome (4250440524).

The spelling of 4140040110 in words is "four billion, one hundred forty million, forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 479 610 915 958 1437 1830 2395 2874 4723 4790 7185 9446 14169 14370 23615 28338 29219 47230 58438 70845 87657 141690 146095 175314 288103 292190 438285 576206 864309 876570 1440515 1728618 2262317 2881030 4321545 4524634 6786951 8643090 11311585 13573902 22623170 33934755 67869510 138001337 276002674 414004011 690006685 828008022 1380013370 2070020055 4140040110