Search a number
-
+
32332040400000 = 273551112291993
BaseRepresentation
bin1110101100111111000111…
…10010000110110010000000
311020110220122111010121011210
413112133203302012302000
513214212004320300000
6152433045002210120
76544625046622545
oct726374362066200
9136426574117153
1032332040400000
11a335a39a02960
1237621baab3940
131506b8a818293
147dac4439abcc
153b106d282350
hex1d67e3c86c80

32332040400000 has 768 divisors, whose sum is σ = 117258388732800. Its totient is φ = 7827763200000.

The previous prime is 32332040399999. The next prime is 32332040400029. The reversal of 32332040400000 is 404023323.

It is a self number, because there is not a number n which added to its sum of digits gives 32332040400000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16222799004 + ... + 16222800996.

Almost surely, 232332040400000 is an apocalyptic number.

32332040400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32332040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58629194366400).

32332040400000 is an abundant number, since it is smaller than the sum of its proper divisors (84926348332800).

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

32332040400000 is a wasteful number, since it uses less digits than its factorization.

32332040400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 32332040400000 its reverse (404023323), we get a palindrome (32332444423323).

The spelling of 32332040400000 in words is "thirty-two trillion, three hundred thirty-two billion, forty million, four hundred thousand".