Search a number
-
+
444420402517 = 7213697677241
BaseRepresentation
bin1100111011110011000…
…01010010110101010101
31120111010102101121210001
412131321201102311111
524240133110340032
6540055223331301
744052103043500
oct6357141226525
91514112347701
10444420402517
11161528805263
127216b5b0b31
1332ba74482a0
141771d87a137
15b8614e93e7
hex6779852d55

444420402517 has 12 divisors (see below), whose sum is σ = 556746439116. Its totient is φ = 351629328960.

The previous prime is 444420402457. The next prime is 444420402521. The reversal of 444420402517 is 715204024444.

It can be written as a sum of positive squares in 2 ways, for example, as 74842733476 + 369577669041 = 273574^2 + 607929^2 .

It is not a de Polignac number, because 444420402517 - 27 = 444420402389 is a prime.

It is a super-3 number, since 3×4444204025173 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420402317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348837984 + ... + 348839257.

It is an arithmetic number, because the mean of its divisors is an integer number (46395536593).

Almost surely, 2444420402517 is an apocalyptic number.

It is an amenable number.

444420402517 is a deficient number, since it is larger than the sum of its proper divisors (112326036599).

444420402517 is a wasteful number, since it uses less digits than its factorization.

444420402517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697677268 (or 697677261 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 37.

The spelling of 444420402517 in words is "four hundred forty-four billion, four hundred twenty million, four hundred two thousand, five hundred seventeen".

Divisors: 1 7 13 49 91 637 697677241 4883740687 9069804133 34186184809 63488628931 444420402517