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2200144113024 = 273111340066727
BaseRepresentation
bin100000000001000010110…
…011101110110110000000
321210022221211022020100220
4200001002303232312000
5242021343343104044
64402422055543040
7314645423252454
oct40010263566600
97708854266326
102200144113024
11779091aa3260
122b649b98aa80
1312c61b6a0a10
14786b7b66664
153c36de1c019
hex20042ceed80

2200144113024 has 128 divisors (see below), whose sum is σ = 6865834510080. Its totient is φ = 615424911360.

The previous prime is 2200144112989. The next prime is 2200144113091. The reversal of 2200144113024 is 4203114410022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2200144112985 and 2200144113003.

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, 19978452 + ... + 20088275.

It is an arithmetic number, because the mean of its divisors is an integer number (53639332110).

Almost surely, 22200144113024 is an apocalyptic number.

2200144113024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2200144113024 is an abundant number, since it is smaller than the sum of its proper divisors (4665690397056).

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

2200144113024 is a wasteful number, since it uses less digits than its factorization.

2200144113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40066768 (or 40066756 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2200144113024 its reverse (4203114410022), we get a palindrome (6403258523046).

The spelling of 2200144113024 in words is "two trillion, two hundred billion, one hundred forty-four million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 40066727 80133454 120200181 160266908 240400362 320533816 440733997 480800724 520867451 641067632 881467994 961601448 1041734902 1282135264 1322201991 1562602353 1762935988 1923202896 2083469804 2564270528 2644403982 3125204706 3525871976 3846405792 4166939608 5128541056 5288807964 5729541961 6250409412 7051743952 7692811584 8333879216 10577615928 11459083922 12500818824 14103487904 15385623168 16667758432 17188625883 21155231856 22918167844 25001637648 28206975808 33335516864 34377251766 42310463712 45836335688 50003275296 56413951616 66671033728 68754503532 84620927424 91672671376 100006550592 137509007064 169241854848 183345342752 200013101184 275018014128 366690685504 550036028256 733381371008 1100072056512 2200144113024