Search a number
-
+
32233313333040 = 2435134305472221
BaseRepresentation
bin1110101010000111001110…
…01100001110111100110000
311020010110211000201221210020
413111003213030032330300
513211102311203124130
6152315440230403440
76534531360453231
oct725034714167460
9136113730657706
1032233313333040
11a2a8087068236
123747047500580
1314ca785957871
147d615a413088
153ad6e0b8ce10
hex1d50e730ef30

32233313333040 has 40 divisors (see below), whose sum is σ = 99923271333168. Its totient is φ = 8595550222080.

The previous prime is 32233313333029. The next prime is 32233313333059. The reversal of 32233313333040 is 4033331333223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32233313332992 and 32233313333010.

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 7 ways as a sum of consecutive naturals, for example, 67152735871 + ... + 67152736350.

Almost surely, 232233313333040 is an apocalyptic number.

32233313333040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32233313333040 is an abundant number, since it is smaller than the sum of its proper divisors (67689958000128).

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

32233313333040 is a wasteful number, since it uses less digits than its factorization.

32233313333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134305472237 (or 134305472231 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 33.

Adding to 32233313333040 its reverse (4033331333223), we get a palindrome (36266644666263).

The spelling of 32233313333040 in words is "thirty-two trillion, two hundred thirty-three billion, three hundred thirteen million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 134305472221 268610944442 402916416663 537221888884 671527361105 805832833326 1074443777768 1343054722210 1611665666652 2014582083315 2148887555536 2686109444420 3223331333304 4029164166630 5372218888840 6446662666608 8058328333260 10744437777680 16116656666520 32233313333040