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40342123324041 = 37112916229371071
BaseRepresentation
bin10010010110000111000011…
…11011100010001010001001
312021211200001221022121120020
421023003201323202022021
520241431132032332131
6221444525434251053
711332423265236110
oct1113034173421211
9167750057277506
1040342123324041
1111943aa8999170
1246366a7586a89
131968327341b86
149d67d7bc6c77
1549e5d04d5996
hex24b0e1ee2289

40342123324041 has 64 divisors (see below), whose sum is σ = 69379183411200. Its totient is φ = 20232992505600.

The previous prime is 40342123324033. The next prime is 40342123324159. The reversal of 40342123324041 is 14042332124304.

It is not a de Polignac number, because 40342123324041 - 23 = 40342123324033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40342123323993 and 40342123324011.

It is not an unprimeable number, because it can be changed into a prime (40342123324001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108532536 + ... + 108903606.

It is an arithmetic number, because the mean of its divisors is an integer number (1084049740800).

Almost surely, 240342123324041 is an apocalyptic number.

It is an amenable number.

40342123324041 is a deficient number, since it is larger than the sum of its proper divisors (29037060087159).

40342123324041 is a wasteful number, since it uses less digits than its factorization.

40342123324041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387350.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 40342123324041 its reverse (14042332124304), we get a palindrome (54384455448345).

The spelling of 40342123324041 in words is "forty trillion, three hundred forty-two billion, one hundred twenty-three million, three hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 16229 48687 113603 178519 340809 371071 470641 535557 1113213 1249633 1411923 2597497 3294487 3748899 4081781 5177051 7792491 9883461 10761059 12245343 15531153 28572467 32283177 36239357 75327413 85717401 108718071 118371649 225982239 355114947 828601543 2485804629 6022111259 18066333777 42154778813 66243223849 126464336439 174641226511 198729671547 463702566943 523923679533 1222488585577 1391107700829 1921053491621 3667465756731 5763160474863 13447374441347 40342123324041