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4140141444 = 22331710321893
BaseRepresentation
bin1111011011000101…
…1000101110000100
3101200112101222101000
43312301120232010
531434334011234
61522453333300
7204411423135
oct36661305604
911615358330
104140141444
1118350025aa
12976637230
1350c97b24a
142b3bd3c8c
15193708899
hexf6c58b84

4140141444 has 96 divisors (see below), whose sum is σ = 11475959040. Its totient is φ = 1286198784.

The previous prime is 4140141409. The next prime is 4140141449. The reversal of 4140141444 is 4441410414.

4140141444 is a `hidden beast` number, since 41 + 40 + 141 + 444 = 666.

4140141444 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is not an unprimeable number, because it can be changed into a prime (4140141449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178162 + ... + 200054.

It is an arithmetic number, because the mean of its divisors is an integer number (119541240).

Almost surely, 24140141444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737979520).

4140141444 is an abundant number, since it is smaller than the sum of its proper divisors (7335817596).

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

4140141444 is a wasteful number, since it uses less digits than its factorization.

4140141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22026 (or 22018 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4140141444 is about 64343.9309026112. The cubic root of 4140141444 is about 1605.7270598861.

Adding to 4140141444 its reverse (4441410414), we get a palindrome (8581551858).

The spelling of 4140141444 in words is "four billion, one hundred forty million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 103 108 153 204 206 306 309 412 459 612 618 918 927 1236 1751 1836 1854 2781 3502 3708 5253 5562 7004 10506 11124 15759 21012 21893 31518 43786 47277 63036 65679 87572 94554 131358 189108 197037 262716 372181 394074 591111 744362 788148 1116543 1182222 1488724 2233086 2254979 2364444 3349629 4466172 4509958 6699258 6764937 9019916 10048887 13398516 13529874 20097774 20294811 27059748 38334643 40195548 40589622 60884433 76669286 81179244 115003929 121768866 153338572 230007858 243537732 345011787 460015716 690023574 1035035361 1380047148 2070070722 4140141444