Search a number
-
+
4416617120431 = 41201753407223
BaseRepresentation
bin100000001000101001011…
…1001010000001010101111
3120122020001122022020210211
41000101102321100022233
51034330212440323211
613220544344443251
7634042614050305
oct100212271201257
916566048266724
104416617120431
11145309325054a
125b3b78179527
132606400013c9
14113aa03d6275
1579d46649e21
hex40452e502af

4416617120431 has 8 divisors (see below), whose sum is σ = 4526582677344. Its totient is φ = 4306758382080.

The previous prime is 4416617120423. The next prime is 4416617120437. The reversal of 4416617120431 is 1340217166144.

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

It is a cyclic number.

It is not a de Polignac number, because 4416617120431 - 23 = 4416617120423 is a prime.

It is a super-2 number, since 2×44166171204312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416617120437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26620915 + ... + 26786308.

It is an arithmetic number, because the mean of its divisors is an integer number (565822834668).

Almost surely, 24416617120431 is an apocalyptic number.

4416617120431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4416617120431 is a deficient number, since it is larger than the sum of its proper divisors (109965556913).

4416617120431 is a wasteful number, since it uses less digits than its factorization.

4416617120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53409281.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 4416617120431 in words is "four trillion, four hundred sixteen billion, six hundred seventeen million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 41 2017 82697 53407223 2189696143 107722368791 4416617120431