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34233153041 = 838911341011
BaseRepresentation
bin11111111000011101…
…000111011000010001
310021100202201100200002
4133320131013120101
51030102141344131
623420531135345
72321220666623
oct377035073021
9107322640602
1034233153041
11135777a461a
126774744555
1332c73aac99
14192a730c13
15d555a66cb
hex7f8747611

34233153041 has 16 divisors (see below), whose sum is σ = 35345782080. Its totient is φ = 33143953920.

The previous prime is 34233153001. The next prime is 34233153089. The reversal of 34233153041 is 14035133243.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34233153041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34233152995 and 34233153013.

It is not an unprimeable number, because it can be changed into a prime (34233153001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814226 + ... + 855236.

It is an arithmetic number, because the mean of its divisors is an integer number (2209111380).

Almost surely, 234233153041 is an apocalyptic number.

It is an amenable number.

34233153041 is a deficient number, since it is larger than the sum of its proper divisors (1112629039).

34233153041 is a wasteful number, since it uses less digits than its factorization.

34233153041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41296.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34233153041 its reverse (14035133243), we get a palindrome (48268286284).

The spelling of 34233153041 in words is "thirty-four billion, two hundred thirty-three million, one hundred fifty-three thousand, forty-one".

Divisors: 1 83 89 113 7387 9379 10057 41011 834731 3403913 3649979 4634243 302948257 384642169 412447627 34233153041