Search a number
-
+
34124030431245 = 33519734715532381
BaseRepresentation
bin1111100001001000111101…
…01101100101000000001101
311110211020002100112012012000
413300210132231211000031
513433042003242244440
6200324210235502513
710121244166564206
oct760443655450015
9143736070465160
1034124030431245
11a966a13626457
1239b15708b7a39
131606b61439ab1
1485d87d0285ad
153e299e9c1730
hex1f091eb6500d

34124030431245 has 128 divisors (see below), whose sum is σ = 61213674170880. Its totient is φ = 18035714027520.

The previous prime is 34124030431237. The next prime is 34124030431261. The reversal of 34124030431245 is 54213403042143.

34124030431245 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 403 + 0 + 4 + 3 + 1 + 245 = 666.

It is not a de Polignac number, because 34124030431245 - 23 = 34124030431237 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14331804955 + ... + 14331807335.

It is an arithmetic number, because the mean of its divisors is an integer number (478231829460).

Almost surely, 234124030431245 is an apocalyptic number.

It is an amenable number.

34124030431245 is a deficient number, since it is larger than the sum of its proper divisors (27089643739635).

34124030431245 is a wasteful number, since it uses less digits than its factorization.

34124030431245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34124030431245 its reverse (54213403042143), we get a palindrome (88337433473388).

The spelling of 34124030431245 in words is "thirty-four trillion, one hundred twenty-four billion, thirty million, four hundred thirty-one thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 197 347 591 985 1041 1553 1735 1773 2381 2955 3123 4659 5205 5319 7143 7765 8865 9369 11905 13977 15615 21429 23295 26595 35715 41931 46845 64287 68359 69885 107145 205077 209655 305941 321435 341795 469057 538891 615231 826207 917823 1025385 1407171 1529705 1616673 1845693 2345285 2478621 2694455 2753469 3076155 3697693 4131035 4221513 4589115 4850019 7035855 7435863 8083365 8260407 9228465 11093079 12393105 12664539 13767345 14550057 18488465 21107565 22307589 24250095 33279237 37179315 41302035 55465395 63322695 72750285 99837711 106161527 111537945 162762779 166396185 318484581 488288337 499188555 530807635 728445521 813813895 955453743 1283099471 1464865011 1592422905 2185336563 2441441685 2866361229 3642227605 3849298413 4394595033 4777268715 6415497355 6556009689 7324325055 10926682815 11547895239 14331806145 19246492065 19668029067 21972975165 32780048445 34643685717 57739476195 98340145335 173218428585 252770595787 758311787361 1263852978935 2274935362083 3791558936805 6824806086249 11374676810415 34124030431245