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34131443000 = 2353100933827
BaseRepresentation
bin11111110010011001…
…000111110100111000
310021002200022221201112
4133302121013310320
51024400122134000
623402455135452
72315544323114
oct376231076470
9107080287645
1034131443000
1113525345336
126746674588
1332ac2b9025
14191b016744
15d4b6b5235
hex7f2647d38

34131443000 has 64 divisors (see below), whose sum is σ = 79949095200. Its totient is φ = 13638643200.

The previous prime is 34131442991. The next prime is 34131443029. The reversal of 34131443000 is 34413143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992087 + ... + 1025913.

Almost surely, 234131443000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974547600).

34131443000 is an abundant number, since it is smaller than the sum of its proper divisors (45817652200).

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

34131443000 is a wasteful number, since it uses less digits than its factorization.

34131443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34857 (or 34843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34131443000 its reverse (34413143), we get a palindrome (34165856143).

The spelling of 34131443000 in words is "thirty-four billion, one hundred thirty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1009 2018 4036 5045 8072 10090 20180 25225 33827 40360 50450 67654 100900 126125 135308 169135 201800 252250 270616 338270 504500 676540 845675 1009000 1353080 1691350 3382700 4228375 6765400 8456750 16913500 33827000 34131443 68262886 136525772 170657215 273051544 341314430 682628860 853286075 1365257720 1706572150 3413144300 4266430375 6826288600 8532860750 17065721500 34131443000