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21444330401 = 13329336577
BaseRepresentation
bin10011111110001011…
…101000001110100001
32001100111021212002022
4103332023220032201
5322404222033101
613503522231225
71356260541464
oct237613501641
961314255068
1021444330401
11910484690a
1241a57b5515
1320399a8000
1410760572db
1585796aa1b
hex4fe2e83a1

21444330401 has 16 divisors (see below), whose sum is σ = 24031669200. Its totient is φ = 19112131584.

The previous prime is 21444330359. The next prime is 21444330431. The reversal of 21444330401 is 10403344412.

It can be written as a sum of positive squares in 8 ways, for example, as 15519179776 + 5925150625 = 124576^2 + 76975^2 .

It is not a de Polignac number, because 21444330401 - 218 = 21444068257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21444330431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104576 + ... + 232001.

It is an arithmetic number, because the mean of its divisors is an integer number (1501979325).

Almost surely, 221444330401 is an apocalyptic number.

It is an amenable number.

21444330401 is a deficient number, since it is larger than the sum of its proper divisors (2587338799).

21444330401 is an equidigital number, since it uses as much as digits as its factorization.

21444330401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336645 (or 336619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 21444330401 its reverse (10403344412), we get a palindrome (31847674813).

The spelling of 21444330401 in words is "twenty-one billion, four hundred forty-four million, three hundred thirty thousand, four hundred one".

Divisors: 1 13 29 169 377 2197 4901 63713 336577 4375501 9760733 56881513 126889529 739459669 1649563877 21444330401