Search a number
-
+
29140300800 = 2103452132347
BaseRepresentation
bin11011001000111001…
…011011010000000000
32210012211121122210000
4123020321123100000
5434134404111200
621215321440000
72051060320122
oct331071332000
983184548700
1029140300800
11113a3a38326
125793040000
13299523c150
1415a61bd212
15b5840d300
hex6c8e5b400

29140300800 has 1320 divisors, whose sum is σ = 123835574016. Its totient is φ = 6715146240.

The previous prime is 29140300769. The next prime is 29140300807. The reversal of 29140300800 is 800304192.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29140300807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 620006377 + ... + 620006423.

Almost surely, 229140300800 is an apocalyptic number.

29140300800 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 29140300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61917787008).

29140300800 is an abundant number, since it is smaller than the sum of its proper divisors (94695273216).

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

29140300800 is a wasteful number, since it uses less digits than its factorization.

29140300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 29140300800 its reverse (800304192), we get a palindrome (29940604992).

The spelling of 29140300800 in words is "twenty-nine billion, one hundred forty million, three hundred thousand, eight hundred".