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41152323312342 = 2321117611867107351
BaseRepresentation
bin10010101101101100001011…
…00111001101101011010110
312101201010100011112110001100
421112312011213031223112
520343214424231443332
6223305041044010530
711445104635431264
oct1126660547155326
9171633304473040
1041152323312342
1112126669742060
124747719990a46
1319c685555a888
14a23ad6a8d434
154b56ededb67c
hex256d859cdad6

41152323312342 has 192 divisors, whose sum is σ = 104736259450368. Its totient is φ = 11538149760000.

The previous prime is 41152323312323. The next prime is 41152323312343. The reversal of 41152323312342 is 24321332325114.

41152323312342 is a `hidden beast` number, since 4 + 1 + 1 + 523 + 2 + 3 + 3 + 123 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41152323312297 and 41152323312306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41152323312343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383289967 + ... + 383397317.

It is an arithmetic number, because the mean of its divisors is an integer number (545501351304).

Almost surely, 241152323312342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41152323312342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52368129725184).

41152323312342 is an abundant number, since it is smaller than the sum of its proper divisors (63583936138026).

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

41152323312342 is a wasteful number, since it uses less digits than its factorization.

41152323312342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109315 (or 109312 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 41152323312342 its reverse (24321332325114), we get a palindrome (65473655637456).

The spelling of 41152323312342 in words is "forty-one trillion, one hundred fifty-two billion, three hundred twenty-three million, three hundred twelve thousand, three hundred forty-two".