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235146240000 = 21338547
BaseRepresentation
bin1101101011111111001…
…1101110000000000000
3211110221202010200000000
43122333303232000000
512323034414140000
6300005200000000
722663100030010
oct3327763560000
9743852120000
10235146240000
11907a7a16541
12396a6000000
13192359264a9
14b549bb7c40
1561b3c90000
hex36bfcee000

235146240000 has 1260 divisors, whose sum is σ = 1007334443544. Its totient is φ = 53747712000.

The previous prime is 235146239981. The next prime is 235146240013. The reversal of 235146240000 is 42641532.

235146240000 is a `hidden beast` number, since 2 + 35 + 1 + 4 + 624 + 0 + 0 + 0 + 0 = 666.

235146240000 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 (1260).

It is a super-2 number, since 2×2351462400002 (a number of 24 digits) contains 22 as substring.

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 89 ways as a sum of consecutive naturals, for example, 33592319997 + ... + 33592320003.

Almost surely, 2235146240000 is an apocalyptic number.

235146240000 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 235146240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503667221772).

235146240000 is an abundant number, since it is smaller than the sum of its proper divisors (772188203544).

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

235146240000 is an frugal number, since it uses more digits than its factorization.

235146240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 235146240000 its reverse (42641532), we get a palindrome (235188881532).

The spelling of 235146240000 in words is "two hundred thirty-five billion, one hundred forty-six million, two hundred forty thousand".