Search a number
-
+
21214642352442 = 23711238812266157
BaseRepresentation
bin1001101001011011010110…
…01110001011000100111010
32210010002200220100012002220
410310231223032023010322
510240040041420234232
6113041512215104510
74316464420456050
oct464555316130472
983102626305086
1021214642352442
11683a0965a8250
122467658972136
13bab6bc2b46c6
14534b192ac1d0
1526bc9528b42c
hex134b6b38b13a

21214642352442 has 128 divisors (see below), whose sum is σ = 55261477490688. Its totient is φ = 5264733619200.

The previous prime is 21214642352401. The next prime is 21214642352467. The reversal of 21214642352442 is 24425324641212.

It is a super-2 number, since 2×212146423524422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21214642352394 and 21214642352403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8228428 + ... + 10494584.

It is an arithmetic number, because the mean of its divisors is an integer number (431730292896).

Almost surely, 221214642352442 is an apocalyptic number.

21214642352442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214642352442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630738745344).

21214642352442 is an abundant number, since it is smaller than the sum of its proper divisors (34046835138246).

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

21214642352442 is a wasteful number, since it uses less digits than its factorization.

21214642352442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267084.

The product of its digits is 737280, while the sum is 42.

Adding to 21214642352442 its reverse (24425324641212), we get a palindrome (45639966993654).

The spelling of 21214642352442 in words is "twenty-one trillion, two hundred fourteen billion, six hundred forty-two million, three hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 881 966 1518 1762 1771 2643 3542 5286 5313 6167 9691 10626 12334 18501 19382 20263 29073 37002 40526 58146 60789 67837 121578 135674 141841 203511 222893 283682 407022 425523 445786 668679 851046 1337358 1560251 2266157 3120502 4532314 4680753 6798471 9361506 13596942 15863099 24927727 31726198 47589297 49855454 52121611 74783181 95178594 104243222 149566362 156364833 174494089 312729666 348988178 364851277 523482267 573337721 729702554 1046964534 1094553831 1146675442 1720013163 1996484317 2189107662 3440026326 3992968634 4013364047 5989452951 8026728094 11978905902 12040092141 13975390219 21961327487 24080184282 27950780438 41926170657 43922654974 45919139291 65883982461 83852341314 91838278582 131767964922 137757417873 153729292409 275514835746 307458584818 321433975037 461187877227 505110532201 642867950074 922375754454 964301925111 1010221064402 1515331596603 1928603850222 3030663193206 3535773725407 7071547450814 10607321176221 21214642352442