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41002344142431 = 3721313212124013
BaseRepresentation
bin10010101001010100110100…
…01010000101011001011111
312101011210012212021012200120
421110222122022011121133
520333240300100024211
6223112114501530023
711431215211504200
oct1124523212053137
9171153185235616
1041002344142431
1112078aa6380961
124722642113913
1319b56733c2619
14a1a749da15a7
154b1872173d06
hex254a9a28565f

41002344142431 has 24 divisors (see below), whose sum is σ = 63595986763824. Its totient is φ = 23429721490560.

The previous prime is 41002344142423. The next prime is 41002344142477. The reversal of 41002344142431 is 13424144320014.

It is a happy number.

It is not a de Polignac number, because 41002344142431 - 23 = 41002344142423 is a prime.

It is a super-2 number, since 2×410023441424312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41002344142392 and 41002344142401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41002344142831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18242181 + ... + 20366193.

It is an arithmetic number, because the mean of its divisors is an integer number (2649832781826).

Almost surely, 241002344142431 is an apocalyptic number.

41002344142431 is a deficient number, since it is larger than the sum of its proper divisors (22593642621393).

41002344142431 is a wasteful number, since it uses less digits than its factorization.

41002344142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255351 (or 2255344 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 41002344142431 its reverse (13424144320014), we get a palindrome (54426488462445).

The spelling of 41002344142431 in words is "forty-one trillion, two billion, three hundred forty-four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 131321 393963 919247 2124013 2757741 6372039 6434729 14868091 19304187 44604273 104076637 312229911 278927511173 836782533519 1952492578211 5857477734633 13667448047477 41002344142431