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4431201331441 = 9777761587473
BaseRepresentation
bin100000001111011100000…
…1011100110100011110001
3120200121201001001221020011
41000132320023212203301
51040100100020101231
613231355451014521
7635100204565033
oct100367013464361
916617631057204
104431201331441
1114592976a30a5
125b696843a441
13261b2566b371
14114685305c53
157a3ebbcc9b1
hex407b82e68f1

4431201331441 has 8 divisors (see below), whose sum is σ = 4476949012424. Its totient is φ = 4385454981120.

The previous prime is 4431201331429. The next prime is 4431201331499. The reversal of 4431201331441 is 1441331021344.

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 4430793453025 = 20196^2 + 2104945^2 .

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 4431201331441 - 27 = 4431201331313 is a prime.

It is a super-2 number, since 2×44312013314412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4431201331411) 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, 7249081 + ... + 7836553.

It is an arithmetic number, because the mean of its divisors is an integer number (559618626553).

Almost surely, 24431201331441 is an apocalyptic number.

It is an amenable number.

4431201331441 is a deficient number, since it is larger than the sum of its proper divisors (45747680983).

4431201331441 is an equidigital number, since it uses as much as digits as its factorization.

4431201331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665331.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 4431201331441 its reverse (1441331021344), we get a palindrome (5872532352785).

The spelling of 4431201331441 in words is "four trillion, four hundred thirty-one billion, two hundred one million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 97 77761 587473 7542817 56984881 45682487953 4431201331441