Search a number
-
+
32334001000000 = 265674619143
BaseRepresentation
bin1110101101000010110001…
…01001001100111001000000
311020111002201010100101202121
413112201120221030321000
513214230013224000000
6152434011320454024
76545024454505540
oct726413051147100
9136432633311677
1032334001000000
11a336855689737
12376266761a314
131507110a78c1b
147dad8c91b320
153b1135460b1a
hex1d6858a4ce40

32334001000000 has 196 divisors, whose sum is σ = 91659965487424. Its totient is φ = 11085940800000.

The previous prime is 32334000999893. The next prime is 32334001000027. The reversal of 32334001000000 is 10043323.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4690429 + ... + 9309571.

Almost surely, 232334001000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32334001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45829982743712).

32334001000000 is an abundant number, since it is smaller than the sum of its proper divisors (59325964487424).

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

32334001000000 is an frugal number, since it uses more digits than its factorization.

32334001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619192 (or 4619157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 32334001000000 its reverse (10043323), we get a palindrome (32334011043323).

The spelling of 32334001000000 in words is "thirty-two trillion, three hundred thirty-four billion, one million", and thus it is an aban number.