Search a number
-
+
140233210001322 = 23232139601528877
BaseRepresentation
bin11111111000101010010110…
…101010101111011110101010
3200101112011102112000002110120
4133320222112222233132222
5121340040103230020242
61214130125230424110
741352341446425264
oct3770522652573652
9611464375002416
10140233210001322
114075663019aa29
121388a176362036
136032c20155819
14268b475c86b34
151132bc32b11ec
hex7f8a96aaf7aa

140233210001322 has 96 divisors (see below), whose sum is σ = 295791987906240. Its totient is φ = 44316423993600.

The previous prime is 140233210001201. The next prime is 140233210001327. The reversal of 140233210001322 is 223100012332041.

It is a junction number, because it is equal to n+sod(n) for n = 140233210001292 and 140233210001301.

It is not an unprimeable number, because it can be changed into a prime (140233210001327) 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 47 ways as a sum of consecutive naturals, for example, 264888348 + ... + 265417224.

It is an arithmetic number, because the mean of its divisors is an integer number (3081166540690).

Almost surely, 2140233210001322 is an apocalyptic number.

140233210001322 is an abundant number, since it is smaller than the sum of its proper divisors (155558777904918).

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

140233210001322 is a wasteful number, since it uses less digits than its factorization.

140233210001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529668 (or 529645 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140233210001322 its reverse (223100012332041), we get a palindrome (363333222333363).

The spelling of 140233210001322 in words is "one hundred forty trillion, two hundred thirty-three billion, two hundred ten million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 23 46 69 138 139 278 417 529 601 834 1058 1202 1587 1803 3174 3197 3606 6394 9591 13823 19182 27646 41469 73531 82938 83539 147062 167078 220593 250617 317929 441186 501234 528877 635858 953787 1057754 1586631 1907574 1921397 3173262 3842794 5764191 11528382 12164171 24328342 36492513 44192131 72985026 73513903 88384262 132576393 147027806 220541709 265152786 279775933 317855077 441083418 559551866 635710154 839327799 953565231 1678655598 1690819769 1907130462 3381639538 5072459307 7310666771 10144918614 14621333542 21932000313 38888854687 43864000626 44181855703 77777709374 88363711406 116666564061 132545567109 168145335733 233333128122 265091134218 336290671466 504436007199 1008872014398 1016182681169 2032365362338 3048548043507 6097096087014 23372201666887 46744403333774 70116605000661 140233210001322