Search a number
-
+
444312240240441 = 32911987426047989
BaseRepresentation
bin110010100000110011000000…
…1001111111011011100111001
32011021011211112221222111102010
41211001212001033323130321
5431214102432000143231
64212550120401200133
7162405333340165056
oct14501460117733471
92137154487874363
10444312240240441
11119631843468421
12419ba832330049
13160bc6065aa761
147ba0b81a7c02d
1536578aad8c546
hex19419813fb739

444312240240441 has 16 divisors (see below), whose sum is σ = 612895596494400. Its totient is φ = 285970226313408.

The previous prime is 444312240240433. The next prime is 444312240240469. The reversal of 444312240240441 is 144042042213444.

It is not a de Polignac number, because 444312240240441 - 23 = 444312240240433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444312240240441.

It is not an unprimeable number, because it can be changed into a prime (444312240245441) 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, 211981126 + ... + 214066863.

It is an arithmetic number, because the mean of its divisors is an integer number (38305974780900).

Almost surely, 2444312240240441 is an apocalyptic number.

It is an amenable number.

444312240240441 is a deficient number, since it is larger than the sum of its proper divisors (168583356253959).

444312240240441 is a wasteful number, since it uses less digits than its factorization.

444312240240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426060008.

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 444312240240441 its reverse (144042042213444), we get a palindrome (588354282453885).

The spelling of 444312240240441 in words is "four hundred forty-four trillion, three hundred twelve billion, two hundred forty million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 3 29 87 11987 35961 347623 1042869 426047989 1278143967 12355391681 37066175043 5107037244143 15321111732429 148104080080147 444312240240441