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235012543040 = 26511611816047
BaseRepresentation
bin1101101011011111010…
…1101101001001000000
3211110121102120011020202
43122313311231021000
512322301202334130
6255544022224332
722656554440652
oct3326765551100
9743542504222
10235012543040
11907394a9a90
12396692850a8
1319214015072
14b5361346d2
1561a7181145
hex36b7d6d240

235012543040 has 224 divisors, whose sum is σ = 624038059008. Its totient is φ = 83579904000.

The previous prime is 235012543033. The next prime is 235012543057. The reversal of 235012543040 is 40345210532.

It is a happy number.

It is a super-2 number, since 2×2350125430402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235012542994 and 235012543012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38861297 + ... + 38867343.

It is an arithmetic number, because the mean of its divisors is an integer number (2785884192).

Almost surely, 2235012543040 is an apocalyptic number.

235012543040 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 235012543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312019029504).

235012543040 is an abundant number, since it is smaller than the sum of its proper divisors (389025515968).

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

235012543040 is a wasteful number, since it uses less digits than its factorization.

235012543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 235012543040 its reverse (40345210532), we get a palindrome (275357753572).

The spelling of 235012543040 in words is "two hundred thirty-five billion, twelve million, five hundred forty-three thousand, forty".