Search a number
-
+
32151040400000 = 2755167481303
BaseRepresentation
bin1110100111101101111110…
…10101111001101010000000
311012211121110021200220211002
413103312333111321222000
513203230312320300000
6152213552320111132
76525556516201544
oct723667725715200
9135747407626732
1032151040400000
11a2761a81479a5
1237331064654a8
1314c2aa3966872
147d2193853a24
153ab4c7d978d5
hex1d3dbf579a80

32151040400000 has 192 divisors, whose sum is σ = 80538061484160. Its totient is φ = 12783381120000.

The previous prime is 32151040399987. The next prime is 32151040400021. The reversal of 32151040400000 is 404015123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66559349 + ... + 67040651.

It is an arithmetic number, because the mean of its divisors is an integer number (419469070230).

Almost surely, 232151040400000 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 32151040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40269030742080).

32151040400000 is an abundant number, since it is smaller than the sum of its proper divisors (48387021084160).

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

32151040400000 is an frugal number, since it uses more digits than its factorization.

32151040400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481509 (or 481477 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 32151040400000 its reverse (404015123), we get a palindrome (32151444415123).

The spelling of 32151040400000 in words is "thirty-two trillion, one hundred fifty-one billion, forty million, four hundred thousand".