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235276704040 = 235717471935449
BaseRepresentation
bin1101101100011110010…
…1011001100100101000
3211111021211121221000111
43123013211121210220
512323321314012130
6300030140144104
722666242662440
oct3330745314450
9744254557014
10235276704040
1190864625064
1239721838034
1319256975251
14b55d259120
1561c046102a
hex36c7959928

235276704040 has 256 divisors, whose sum is σ = 657725184000. Its totient is φ = 73907306496.

The previous prime is 235276704001. The next prime is 235276704059. The reversal of 235276704040 is 40407672532.

It is a happy number.

235276704040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 235276703984 and 235276704002.

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 63 ways as a sum of consecutive naturals, for example, 43175236 + ... + 43180684.

It is an arithmetic number, because the mean of its divisors is an integer number (2569239000).

Almost surely, 2235276704040 is an apocalyptic number.

235276704040 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 235276704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328862592000).

235276704040 is an abundant number, since it is smaller than the sum of its proper divisors (422448479960).

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

235276704040 is a wasteful number, since it uses less digits than its factorization.

235276704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 235276704040 in words is "two hundred thirty-five billion, two hundred seventy-six million, seven hundred four thousand, forty".