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210143538301344 = 25375125999112111
BaseRepresentation
bin101111110001111111011010…
…111100111100100110100000
31000120001112012111111112002220
4233301333122330330212200
5210020442431301120334
62022534335254311040
762156240531262564
oct5761773274744640
91016045174445086
10210143538301344
1160a5a412a3869a
121b69b285958480
1390345b206630b
1439c700426d6a4
1519464b0679449
hexbf1fdaf3c9a0

210143538301344 has 96 divisors (see below), whose sum is σ = 552387483648000. Its totient is φ = 69951258720000.

The previous prime is 210143538301343. The next prime is 210143538301349. The reversal of 210143538301344 is 443103835341012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 210143538301296 and 210143538301305.

It is not an unprimeable number, because it can be changed into a prime (210143538301343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874367849 + ... + 1874479959.

It is an arithmetic number, because the mean of its divisors is an integer number (5754036288000).

Almost surely, 2210143538301344 is an apocalyptic number.

210143538301344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210143538301344 is an abundant number, since it is smaller than the sum of its proper divisors (342243945346656).

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

210143538301344 is a wasteful number, since it uses less digits than its factorization.

210143538301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138874 (or 138866 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 210143538301344 in words is "two hundred ten trillion, one hundred forty-three billion, five hundred thirty-eight million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 751 1502 2253 3004 4506 6008 9012 12016 18024 24032 25999 36048 51998 72096 77997 103996 112111 155994 207992 224222 311988 336333 415984 448444 623976 672666 831968 896888 1247952 1345332 1793776 2495904 2690664 3587552 5381328 10762656 19525249 39050498 58575747 78100996 84195361 117151494 156201992 168390722 234302988 252586083 312403984 336781444 468605976 505172166 624807968 673562888 937211952 1010344332 1347125776 1874423904 2020688664 2694251552 2914773889 4041377328 5829547778 8082754656 8744321667 11659095556 17488643334 23318191112 34977286668 46636382224 69954573336 93272764448 139909146672 279818293344 2188995190639 4377990381278 6566985571917 8755980762556 13133971143834 17511961525112 26267942287668 35023923050224 52535884575336 70047846100448 105071769150672 210143538301344