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2144142350400 = 26352446696323
BaseRepresentation
bin11111001100111000110…
…101111101100001000000
321120222101222002221012110
4133030320311331201000
5240112200420203100
64321001055455320
7310623563160501
oct37147065754100
97528358087173
102144142350400
11757364506106
122a7670b27540
13127265398b7b
1475ac42c8ba8
153ab926e2250
hex1f338d7d840

2144142350400 has 84 divisors (see below), whose sum is σ = 7034573710352. Its totient is φ = 571771292160.

The previous prime is 2144142350381. The next prime is 2144142350443. The reversal of 2144142350400 is 40532414412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223343362 + ... + 223352961.

Almost surely, 22144142350400 is an apocalyptic number.

2144142350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144142350400 is an abundant number, since it is smaller than the sum of its proper divisors (4890431359952).

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

2144142350400 is a wasteful number, since it uses less digits than its factorization.

2144142350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446696348 (or 446696333 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2144142350400 its reverse (40532414412), we get a palindrome (2184674764812).

The spelling of 2144142350400 in words is "two trillion, one hundred forty-four billion, one hundred forty-two million, three hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 446696323 893392646 1340088969 1786785292 2233481615 2680177938 3573570584 4466963230 5360355876 6700444845 7147141168 8933926460 10720711752 11167408075 13400889690 14294282336 17867852920 21441423504 22334816150 26801779380 28588564672 33502224225 35735705840 42882847008 44669632300 53603558760 67004448450 71471411680 85765694016 89339264600 107207117520 134008896900 142942823360 178678529200 214414235040 268017793800 357357058400 428828470080 536035587600 714714116800 1072071175200 2144142350400