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216141156000 = 25335372114779
BaseRepresentation
bin1100100101001100000…
…1000100111010100000
3202122220020201100221000
43021103001010322200
512020124113443000
6243143251032000
721421115340600
oct3112301047240
9678806640830
10216141156000
1183735058650
1235a8129b600
13174c73c8963
14a665ab8c00
15595054e000
hex3253044ea0

216141156000 has 2304 divisors, whose sum is σ = 1032553267200. Its totient is φ = 43400448000.

The previous prime is 216141155983. The next prime is 216141156037. The reversal of 216141156000 is 651141612.

216141156000 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 41 + 15 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2735963961 + ... + 2735964039.

It is an arithmetic number, because the mean of its divisors is an integer number (448156800).

Almost surely, 2216141156000 is an apocalyptic number.

216141156000 is a gapful number since it is divisible by the number (20) 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 216141156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516276633600).

216141156000 is an abundant number, since it is smaller than the sum of its proper divisors (816412111200).

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

216141156000 is a wasteful number, since it uses less digits than its factorization.

216141156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 216141156000 its reverse (651141612), we get a palindrome (216792297612).

The spelling of 216141156000 in words is "two hundred sixteen billion, one hundred forty-one million, one hundred fifty-six thousand".