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4142413041 = 3131929434483
BaseRepresentation
bin1111011011101000…
…0011010011110001
3101200200200101102020
43312322003103301
531440424204131
61523014142053
7204436633644
oct36672032361
911620611366
104142413041
111836314258
12977351929
135102951a0
142b4225a5b
15193a06996
hexf6e834f1

4142413041 has 64 divisors (see below), whose sum is σ = 6629145600. Its totient is φ = 2276999424.

The previous prime is 4142413039. The next prime is 4142413097. The reversal of 4142413041 is 1403142414.

It is not a de Polignac number, because 4142413041 - 21 = 4142413039 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4142413021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921786 + ... + 926268.

It is an arithmetic number, because the mean of its divisors is an integer number (103580400).

Almost surely, 24142413041 is an apocalyptic number.

It is an amenable number.

4142413041 is a deficient number, since it is larger than the sum of its proper divisors (2486732559).

4142413041 is a wasteful number, since it uses less digits than its factorization.

4142413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4142413041 is about 64361.5804731363. The cubic root of 4142413041 is about 1606.0206809225.

Adding to 4142413041 its reverse (1403142414), we get a palindrome (5545555455).

The spelling of 4142413041 in words is "four billion, one hundred forty-two million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 13 19 29 39 43 57 87 129 247 377 551 559 741 817 1131 1247 1653 1677 2451 3741 4483 7163 10621 13449 16211 21489 23693 31863 48633 58279 71079 85177 130007 174837 192769 255531 308009 390021 578307 924027 1107301 1690091 2470133 2505997 3321903 3662611 5070273 5590301 7410399 7517991 10987833 16770903 32111729 47613943 72673913 96335187 106215719 142841829 218021739 318647157 1380804347 4142413041