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215242434000 = 2434531143532
BaseRepresentation
bin1100100001110101110…
…0101110010111010000
3202120120121121120010000
43020131130232113100
512011304030342000
6242514144210000
721356623334046
oct3103534562720
9676517546100
10215242434000
11833138194a0
1235870309900
13173b315bba9
14a5bc5b2396
1558eb6c6000
hex321d72e5d0

215242434000 has 1200 divisors, whose sum is σ = 884559259584. Its totient is φ = 50004864000.

The previous prime is 215242433933. The next prime is 215242434047. The reversal of 215242434000 is 434242512.

215242434000 is a `hidden beast` number, since 2 + 15 + 2 + 4 + 243 + 400 + 0 = 666.

215242434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4061177974 + ... + 4061178026.

Almost surely, 2215242434000 is an apocalyptic number.

215242434000 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 215242434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442279629792).

215242434000 is an abundant number, since it is smaller than the sum of its proper divisors (669316825584).

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

215242434000 is a wasteful number, since it uses less digits than its factorization.

215242434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 215242434000 its reverse (434242512), we get a palindrome (215676676512).

The spelling of 215242434000 in words is "two hundred fifteen billion, two hundred forty-two million, four hundred thirty-four thousand".