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235424115040 = 2553739767587
BaseRepresentation
bin1101101101000001011…
…1101110100101100000
3211111200010000011220011
43123100113232211200
512324122033140130
6300052523454304
723003012650222
oct3332027564540
9744603004804
10235424115040
119092a859134
1239763087394
131927b3788aa
14b574a6c412
1561cd37d52a
hex36d05ee960

235424115040 has 48 divisors (see below), whose sum is σ = 571221634032. Its totient is φ = 91624518144.

The previous prime is 235424115023. The next prime is 235424115041. The reversal of 235424115040 is 40511424532.

235424115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 235424114993 and 235424115011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235424115041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19877874 + ... + 19889713.

It is an arithmetic number, because the mean of its divisors is an integer number (11900450709).

Almost surely, 2235424115040 is an apocalyptic number.

235424115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235424115040 is an abundant number, since it is smaller than the sum of its proper divisors (335797518992).

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

235424115040 is a wasteful number, since it uses less digits than its factorization.

235424115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39767639 (or 39767631 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 235424115040 its reverse (40511424532), we get a palindrome (275935539572).

It can be divided in two parts, 235424 and 115040, that added together give a square (350464 = 5922).

The spelling of 235424115040 in words is "two hundred thirty-five billion, four hundred twenty-four million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 39767587 79535174 159070348 198837935 318140696 397675870 636281392 795351740 1272562784 1471400719 1590703480 2942801438 3181406960 5885602876 6362813920 7357003595 11771205752 14714007190 23542411504 29428014380 47084823008 58856028760 117712057520 235424115040