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4335144205431 = 313111157543729
BaseRepresentation
bin111111000101011010101…
…110101111110001110111
3120100102202122122100021110
4333011122232233301313
51032011333404033211
613115312053250103
7625126625516004
oct77053256576167
916312678570243
104335144205431
111421584983646
125a021b033933
13255a5799b570
1410db71ba88ab
1577b78bd1ea6
hex3f15abafc77

4335144205431 has 8 divisors (see below), whose sum is σ = 6224822448880. Its totient is φ = 2667781049472.

The previous prime is 4335144205423. The next prime is 4335144205439. The reversal of 4335144205431 is 1345024415334.

4335144205431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4335144205423) and next prime (4335144205439).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4335144205431 - 23 = 4335144205423 is a prime.

It is a super-2 number, since 2×43351442054312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 111157543729 = 4335144205431 / (4 + 3 + 3 + 5 + 1 + 4 + 4 + 2 + 0 + 5 + 4 + 3 + 1).

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 4335144205431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335144205439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55578771826 + ... + 55578771903.

It is an arithmetic number, because the mean of its divisors is an integer number (778102806110).

Almost surely, 24335144205431 is an apocalyptic number.

4335144205431 is a deficient number, since it is larger than the sum of its proper divisors (1889678243449).

4335144205431 is a wasteful number, since it uses less digits than its factorization.

4335144205431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111157543745.

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 4335144205431 in words is "four trillion, three hundred thirty-five billion, one hundred forty-four million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 3 13 39 111157543729 333472631187 1445048068477 4335144205431