Search a number
-
+
10234132142234 = 27111334964722639
BaseRepresentation
bin1001010011101101000111…
…0011111001100010011010
31100020101002021011102012212
42110323101303321202122
52320134000312022414
633433255001235122
72104251222616130
oct224732163714232
940211067142185
1010234132142234
1132962a8877930
12119353a192aa2
135930c7949a60
14275498369750
1512b32eb6983e
hex94ed1cf989a

10234132142234 has 128 divisors (see below), whose sum is σ = 20703320064000. Its totient is φ = 3664226522880.

The previous prime is 10234132142191. The next prime is 10234132142249. The reversal of 10234132142234 is 43224123143201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10234132142234.

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, 452046287 + ... + 452068925.

It is an arithmetic number, because the mean of its divisors is an integer number (161744688000).

Almost surely, 210234132142234 is an apocalyptic number.

10234132142234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10234132142234 is an abundant number, since it is smaller than the sum of its proper divisors (10469187921766).

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

10234132142234 is a wasteful number, since it uses less digits than its factorization.

10234132142234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23668.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10234132142234 its reverse (43224123143201), we get a palindrome (53458255285435).

The spelling of 10234132142234 in words is "ten trillion, two hundred thirty-four billion, one hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 349 647 698 1001 1294 2002 2443 3839 4529 4537 4886 7117 7678 8411 9058 9074 14234 16822 22639 26873 31759 45278 49819 49907 53746 58877 63518 92521 99638 99814 117754 158473 185042 225803 249029 294307 316946 349349 451606 498058 588614 647647 698698 1295294 1580621 1743203 2060149 2483833 2935439 3161242 3237377 3486406 4120298 4967666 5870878 6474754 7901011 14647433 15802022 17386831 20548073 22661639 29294866 32289829 34773662 41096146 45323278 55307077 64579658 86911121 102532031 102713143 110614154 161121763 173822242 190416629 205064062 205426286 226028803 322243526 380833258 452057606 608377847 718992001 1127852341 1129844573 1216755694 1332916403 1437984002 2094582919 2255704682 2259689146 2665832806 4189165838 5111954117 7908912011 10223908234 14662080433 15817824022 29324160866 35783678819 56231495287 66455403521 71567357638 112462990574 132910807042 393620467009 465187824647 731009438731 787240934018 930375649294 1462018877462 5117066071117 10234132142234