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233545315041040 = 2452919316438013
BaseRepresentation
bin110101000110100010000001…
…100010101011111100010000
31010121220201021120001101212111
4311012202001202223330100
5221102401301122303130
62144413123034035104
7100123043423441662
oct6506420142537420
91117821246041774
10233545315041040
1168462014910612
122223a791578a94
13a0412c8622c32
144195921526532
151c000b260e02a
hexd468818abf10

233545315041040 has 20 divisors (see below), whose sum is σ = 542992857470604. Its totient is φ = 93418126016384.

The previous prime is 233545315041019. The next prime is 233545315041041. The reversal of 233545315041040 is 40140513545332.

It can be written as a sum of positive squares in 2 ways, for example, as 126178581589776 + 107366733451264 = 11232924^2 + 10361792^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 233545315040984 and 233545315041002.

It is not an unprimeable number, because it can be changed into a prime (233545315041041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1459658218927 + ... + 1459658219086.

Almost surely, 2233545315041040 is an apocalyptic number.

233545315041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233545315041040 is an abundant number, since it is smaller than the sum of its proper divisors (309447542429564).

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

233545315041040 is a wasteful number, since it uses less digits than its factorization.

233545315041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919316438026 (or 2919316438020 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 233545315041040 its reverse (40140513545332), we get a palindrome (273685828586372).

The spelling of 233545315041040 in words is "two hundred thirty-three trillion, five hundred forty-five billion, three hundred fifteen million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2919316438013 5838632876026 11677265752052 14596582190065 23354531504104 29193164380130 46709063008208 58386328760260 116772657520520 233545315041040