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235140719040 = 263556134933
BaseRepresentation
bin1101101011111101111…
…0101010000111000000
3211110221100202011200000
43122333132222013000
512323032011002130
6300004441400000
722663002063633
oct3327736520700
9743840664600
10235140719040
11907a4895567
12396a4199000
1319234742556
14b54917bc1a
1561b354e260
hex36bf7aa1c0

235140719040 has 336 divisors, whose sum is σ = 840279699168. Its totient is φ = 62589210624.

The previous prime is 235140718997. The next prime is 235140719041. The reversal of 235140719040 is 40917041532.

235140719040 is a `hidden beast` number, since 23 + 5 + 1 + 407 + 190 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235140718986 and 235140719004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235140719041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47664414 + ... + 47669346.

It is an arithmetic number, because the mean of its divisors is an integer number (2500832438).

Almost surely, 2235140719040 is an apocalyptic number.

235140719040 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 235140719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420139849584).

235140719040 is an abundant number, since it is smaller than the sum of its proper divisors (605138980128).

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

235140719040 is an equidigital number, since it uses as much as digits as its factorization.

235140719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 235140719040 in words is "two hundred thirty-five billion, one hundred forty million, seven hundred nineteen thousand, forty".