Search a number
-
+
34444413014 = 211171074911753
BaseRepresentation
bin100000000101000011…
…000000100001010110
310021220111020110212112
4200011003000201112
51031020232204024
623453515151022
72326364452124
oct400503004126
9107814213775
1034444413014
1113675a78340
126813445472
13332c0a849b
14194a804914
15d68dd700e
hex8050c0856

34444413014 has 64 divisors (see below), whose sum is σ = 60393952512. Its totient is φ = 14559820800.

The previous prime is 34444413011. The next prime is 34444413019. The reversal of 34444413014 is 41031444443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444413011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19647962 + ... + 19649714.

It is an arithmetic number, because the mean of its divisors is an integer number (943655508).

Almost surely, 234444413014 is an apocalyptic number.

34444413014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34444413014 is a deficient number, since it is larger than the sum of its proper divisors (25949539498).

34444413014 is a wasteful number, since it uses less digits than its factorization.

34444413014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34444413014 its reverse (41031444443), we get a palindrome (75475857457).

The spelling of 34444413014 in words is "thirty-four billion, four hundred forty-four million, four hundred thirteen thousand, fourteen".

Divisors: 1 2 11 17 22 34 107 187 214 374 491 982 1177 1753 1819 2354 3506 3638 5401 8347 10802 16694 19283 20009 29801 38566 40018 52537 59602 91817 105074 183634 187571 327811 375142 577907 655622 860723 893129 1155814 1721446 1786258 2063281 3188707 4126562 6377414 9467953 9824419 14632291 18935906 19648838 29264582 35075777 70151554 92097361 160955201 184194722 321910402 1013070971 1565655137 2026141942 3131310274 17222206507 34444413014