Search a number
-
+
6444101232312 = 233535066117321
BaseRepresentation
bin101110111000110001001…
…0111010110011010111000
3211211001100111100122110120
41131301202113112122320
51321040004403413222
621412213525413240
71233366556463412
oct135614227263270
924731314318416
106444101232312
112064a2316a387
12880ab056a220
133798a3627773
14183c791059b2
15b295c43815c
hex5dc625d66b8

6444101232312 has 32 divisors (see below), whose sum is σ = 16414220123280. Its totient is φ = 2107504805120.

The previous prime is 6444101232287. The next prime is 6444101232313. The reversal of 6444101232312 is 2132321014446.

It is a super-3 number, since 3×64441012323123 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444101232313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2533057389 + ... + 2533059932.

Almost surely, 26444101232312 is an apocalyptic number.

It is an amenable number.

6444101232312 is an abundant number, since it is smaller than the sum of its proper divisors (9970118890968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6444101232312 is a wasteful number, since it uses less digits than its factorization.

6444101232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066117383 (or 5066117379 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 6444101232312 its reverse (2132321014446), we get a palindrome (8576422246758).

The spelling of 6444101232312 in words is "six trillion, four hundred forty-four billion, one hundred one million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 5066117321 10132234642 15198351963 20264469284 30396703926 40528938568 60793407852 121586815704 268504218013 537008436026 805512654039 1074016872052 1611025308078 2148033744104 3222050616156 6444101232312