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4144125915 = 335531933001
BaseRepresentation
bin1111011100000010…
…0101011111011011
3101200210220102001000
43313000211133123
531441344012130
61523115000043
7204460326516
oct36700453733
911623812030
104144125915
111837284156
12977a39023
13510744a17
142b454dd7d
15193c44260
hexf70257db

4144125915 has 64 divisors (see below), whose sum is σ = 7547748480. Its totient is φ = 2156544000.

The previous prime is 4144125913. The next prime is 4144125949. The reversal of 4144125915 is 5195214414.

It is not a de Polignac number, because 4144125915 - 21 = 4144125913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4144125915.

It is not an unprimeable number, because it can be changed into a prime (4144125913) 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 63 ways as a sum of consecutive naturals, for example, 1379415 + ... + 1382415.

It is an arithmetic number, because the mean of its divisors is an integer number (117933570).

Almost surely, 24144125915 is an apocalyptic number.

4144125915 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4144125915 is a deficient number, since it is larger than the sum of its proper divisors (3403622565).

4144125915 is a wasteful number, since it uses less digits than its factorization.

4144125915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3255 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 4144125915 is about 64374.8857474714. The cubic root of 4144125915 is about 1606.2420118202.

The spelling of 4144125915 in words is "four billion, one hundred forty-four million, one hundred twenty-five thousand, nine hundred fifteen".

Divisors: 1 3 5 9 15 27 45 53 135 159 193 265 477 579 795 965 1431 1737 2385 2895 3001 5211 7155 8685 9003 10229 15005 26055 27009 30687 45015 51145 81027 92061 135045 153435 159053 276183 405135 460305 477159 579193 795265 1380915 1431477 1737579 2385795 2895965 4294431 5212737 7157385 8687895 15638211 21472155 26063685 30697229 78191055 92091687 153486145 276275061 460458435 828825183 1381375305 4144125915