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144313133104040 = 2353607828327601
BaseRepresentation
bin100000110100000010000101…
…000010001111101110101000
3200220222012102101010002011012
4200310002011002033232220
5122403411244033312130
61230532312122123052
742253164653541605
oct4064020502175650
9626865371102135
10144313133104040
1141a899464465aa
1214228a28350488
13626a893170cc4
14278cb15a656ac
1511a3db0aea995
hex83408508fba8

144313133104040 has 16 divisors (see below), whose sum is σ = 324704549484180. Its totient is φ = 57725253241600.

The previous prime is 144313133104031. The next prime is 144313133104111. The reversal of 144313133104040 is 40401331313441.

It can be written as a sum of positive squares in 2 ways, for example, as 144311832636196 + 1300467844 = 12012986^2 + 36062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144313133103988 and 144313133104006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803914163761 + ... + 1803914163840.

Almost surely, 2144313133104040 is an apocalyptic number.

144313133104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144313133104040 is an abundant number, since it is smaller than the sum of its proper divisors (180391416380140).

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

144313133104040 is a wasteful number, since it uses less digits than its factorization.

144313133104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607828327612 (or 3607828327608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 144313133104040 its reverse (40401331313441), we get a palindrome (184714464417481).

The spelling of 144313133104040 in words is "one hundred forty-four trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3607828327601 7215656655202 14431313310404 18039141638005 28862626620808 36078283276010 72156566552020 144313133104040