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444300241322344 = 231172737611846529
BaseRepresentation
bin110010100000101101011011…
…0000011101100000101101000
32011021010200120201220022011011
41211001122312003230011220
5431213403343234303334
64212540414010513304
7162404430111105421
oct14501326603540550
92137120521808134
10444300241322344
11119627746385690
12419b8443a35834
13160bb443734514
147ba0364262648
153657407782564
hex19416b60ec168

444300241322344 has 64 divisors (see below), whose sum is σ = 910288473494400. Its totient is φ = 201623130931200.

The previous prime is 444300241322323. The next prime is 444300241322383. The reversal of 444300241322344 is 443223142003444.

It is a super-2 number, since 2×4443002413223442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444300241322297 and 444300241322306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239690472 + ... + 241537000.

It is an arithmetic number, because the mean of its divisors is an integer number (14223257398350).

Almost surely, 2444300241322344 is an apocalyptic number.

444300241322344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444300241322344 is an abundant number, since it is smaller than the sum of its proper divisors (465988232172056).

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

444300241322344 is a wasteful number, since it uses less digits than its factorization.

444300241322344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851034 (or 1851030 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 444300241322344 its reverse (443223142003444), we get a palindrome (887523383325788).

The spelling of 444300241322344 in words is "four hundred forty-four trillion, three hundred billion, two hundred forty-one million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 727 1454 2908 3761 5816 7522 7997 15044 15994 30088 31988 41371 63976 82742 165484 330968 1846529 2734247 3693058 5468494 7386116 10936988 14772232 20311819 21873976 30076717 40623638 60153434 81247276 120306868 162494552 240613736 1342426583 2684853166 5369706332 6944795569 10739412664 13889591138 14766692413 27779182276 29533384826 55558364552 59066769652 76392751259 118133539304 152785502518 305571005036 611142010072 5048866378663 10097732757326 20195465514652 40390931029304 55537530165293 111075060330586 222150120661172 444300241322344