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2244242311104 = 263411911492627
BaseRepresentation
bin100000101010000111010…
…001000000011111000000
321221112210002211210202110
4200222013101000133000
5243232202012423404
64434553553215320
7321066262615563
oct40520721003700
97845702753673
102244242311104
11795861306162
12302b48261540
13133828807251
147a89c72a4da
153d5a05c4b89
hex20a874407c0

2244242311104 has 112 divisors (see below), whose sum is σ = 6114568513536. Its totient is φ = 726013286400.

The previous prime is 2244242311093. The next prime is 2244242311123. The reversal of 2244242311104 is 4011132424422.

It is a congruent number.

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, 757239 + ... + 2249865.

It is an arithmetic number, because the mean of its divisors is an integer number (54594361728).

Almost surely, 22244242311104 is an apocalyptic number.

2244242311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244242311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057284256768).

2244242311104 is an abundant number, since it is smaller than the sum of its proper divisors (3870326202432).

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

2244242311104 is a wasteful number, since it uses less digits than its factorization.

2244242311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492874 (or 1492864 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2244242311104 its reverse (4011132424422), we get a palindrome (6255374735526).

The spelling of 2244242311104 in words is "two trillion, two hundred forty-four billion, two hundred forty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 191 192 246 328 382 492 573 656 764 984 1146 1312 1528 1968 2292 2624 3056 3936 4584 6112 7831 7872 9168 12224 15662 18336 23493 31324 36672 46986 62648 93972 125296 187944 250592 375888 501184 751776 1492627 1503552 2985254 4477881 5970508 8955762 11941016 17911524 23882032 35823048 47764064 61197707 71646096 95528128 122395414 143292192 183593121 244790828 285091757 286584384 367186242 489581656 570183514 734372484 855275271 979163312 1140367028 1468744968 1710550542 1958326624 2280734056 2937489936 3421101084 3916653248 4561468112 5874979872 6842202168 9122936224 11688762037 11749959744 13684404336 18245872448 23377524074 27368808672 35066286111 46755048148 54737617344 70132572222 93510096296 140265144444 187020192592 280530288888 374040385184 561060577776 748080770368 1122121155552 2244242311104