Search a number
-
+
444300211134103 = 19717314869303431
BaseRepresentation
bin110010100000101101011010…
…0010000100001111010010111
32011021010200111122002120200011
41211001122310100201322113
5431213403313022242403
64212540411011501051
7162404426263364152
oct14501326420417227
92137120448076604
10444300211134103
11119627730336825
12419b84358b7787
13160bb43a3c495c
147ba0360244c99
153657404cbca6d
hex19416b4421e97

444300211134103 has 32 divisors (see below), whose sum is σ = 480802325990400. Its totient is φ = 409273957612800.

The previous prime is 444300211134089. The next prime is 444300211134137. The reversal of 444300211134103 is 301431112003444.

It is not a de Polignac number, because 444300211134103 - 221 = 444300209036951 is a prime.

It is a super-2 number, since 2×4443002111341032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444300211134203) 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, 1464102798 + ... + 1464406228.

It is an arithmetic number, because the mean of its divisors is an integer number (15025072687200).

Almost surely, 2444300211134103 is an apocalyptic number.

444300211134103 is a deficient number, since it is larger than the sum of its proper divisors (36502114856297).

444300211134103 is a wasteful number, since it uses less digits than its factorization.

444300211134103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318463.

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

Adding to 444300211134103 its reverse (301431112003444), we get a palindrome (745731323137547).

The spelling of 444300211134103 in words is "four hundred forty-four trillion, three hundred billion, two hundred eleven million, one hundred thirty-four thousand, one hundred three".

Divisors: 1 19 71 73 1349 1387 5183 14869 98477 282511 303431 1055699 1085437 5765189 20058281 20623303 21543601 22150463 77066027 409328419 420858797 1464254513 1572682873 4511715539 29880974587 85722595241 320331803269 329355234347 6086304262111 6257749452593 23384221638637 444300211134103