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2243143039968 = 253213956033749
BaseRepresentation
bin100000101001000101101…
…111100111101111100000
321221102221111101001020200
4200221011233213233200
5243222424104234333
64434252524105200
7321030114146505
oct40510557475740
97842844331220
102243143039968
11795347849516
123028a0095200
131336b1b5025c
147a7d673b4ac
153d538d34c13
hex20a45be7be0

2243143039968 has 72 divisors (see below), whose sum is σ = 6424829775000. Its totient is φ = 742335093504.

The previous prime is 2243143039967. The next prime is 2243143040093. The reversal of 2243143039968 is 8699303413422.

2243143039968 is a `hidden beast` number, since 2 + 243 + 1 + 4 + 3 + 0 + 399 + 6 + 8 = 666.

2243143039968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243143039961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27976843 + ... + 28056906.

It is an arithmetic number, because the mean of its divisors is an integer number (89233746875).

Almost surely, 22243143039968 is an apocalyptic number.

It is an amenable number.

2243143039968 is an abundant number, since it is smaller than the sum of its proper divisors (4181686735032).

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

2243143039968 is a wasteful number, since it uses less digits than its factorization.

2243143039968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56033904 (or 56033893 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2243143039968 in words is "two trillion, two hundred forty-three billion, one hundred forty-three million, thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 56033749 112067498 168101247 224134996 336202494 448269992 504303741 672404988 896539984 1008607482 1344809976 1793079968 2017214964 2689619952 4034429928 5379239904 7788691111 8068859856 15577382222 16137719712 23366073333 31154764444 46732146666 62309528888 70098219999 93464293332 124619057776 140196439998 186928586664 249238115552 280392879996 373857173328 560785759992 747714346656 1121571519984 2243143039968