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4344114041 = 314167139367
BaseRepresentation
bin1000000101110110…
…11110101101111001
3102012202012212011122
410002323132231321
532344043122131
61555021235025
7212436234341
oct40273365571
912182185148
104344114041
11192a1591a3
12a12a02a75
13542cc67a7
142d2d2bd21
151a6599d7b
hex102edeb79

4344114041 has 32 divisors (see below), whose sum is σ = 4708515840. Its totient is φ = 4000233600.

The previous prime is 4344113993. The next prime is 4344114107. The reversal of 4344114041 is 1404114434.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4344114041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4344114041.

It is not an unprimeable number, because it can be changed into a prime (4344114641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11836640 + ... + 11837006.

It is an arithmetic number, because the mean of its divisors is an integer number (147141120).

Almost surely, 24344114041 is an apocalyptic number.

4344114041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4344114041 is a deficient number, since it is larger than the sum of its proper divisors (364401799).

4344114041 is a wasteful number, since it uses less digits than its factorization.

4344114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4344114041 is about 65909.8933469020. The cubic root of 4344114041 is about 1631.6752997705.

Adding to 4344114041 its reverse (1404114434), we get a palindrome (5748228475).

The spelling of 4344114041 in words is "four billion, three hundred forty-four million, one hundred fourteen thousand, forty-one".

Divisors: 1 31 41 67 139 367 1271 2077 2747 4309 5699 9313 11377 15047 24589 51013 85157 176669 288703 381833 466457 762259 1008149 1581403 2091533 3417871 11836823 31252619 64837523 105954001 140132711 4344114041