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34200025041 = 3713562322279
BaseRepresentation
bin11111110110011110…
…101111011111010001
310021021110101021121010
4133312132233133101
51030020201300131
623413345121133
72320336262550
oct376636573721
9107243337533
1034200025041
1113560028006
1267656291a9
1332c057c310
141926189d97
15d52710b46
hex7f67af7d1

34200025041 has 32 divisors (see below), whose sum is σ = 56135618560. Its totient is φ = 18035555904.

The previous prime is 34200024997. The next prime is 34200025051. The reversal of 34200025041 is 14052000243.

It is not a de Polignac number, because 34200025041 - 222 = 34195830737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34200024999 and 34200025017.

It is not an unprimeable number, because it can be changed into a prime (34200025051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523940 + ... + 1546218.

It is an arithmetic number, because the mean of its divisors is an integer number (1754238080).

Almost surely, 234200025041 is an apocalyptic number.

It is an amenable number.

34200025041 is a deficient number, since it is larger than the sum of its proper divisors (21935593519).

34200025041 is a wasteful number, since it uses less digits than its factorization.

34200025041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27925.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 34200025041 its reverse (14052000243), we get a palindrome (48252025284).

The spelling of 34200025041 in words is "thirty-four billion, two hundred million, twenty-five thousand, forty-one".

Divisors: 1 3 7 13 21 39 91 273 5623 16869 22279 39361 66837 73099 118083 155953 219297 289627 467859 511693 868881 1535079 2027389 6082167 125274817 375824451 876923719 1628572621 2630771157 4885717863 11400008347 34200025041