Search a number
-
+
34096719446985 = 35134161257272039
BaseRepresentation
bin1111100000010110000101…
…10110011100001111001001
311110201121121000002102221110
413300023002312130033021
513432120040134300420
6200303452222400533
710116256331212326
oct760130266341711
9143647530072843
1034096719446985
11a956379256788
1239a820a430149
1316043cb1b3890
1485c40bb93b4d
153e1e01eacee0
hex1f02c2d9c3c9

34096719446985 has 128 divisors (see below), whose sum is σ = 61409099566080. Its totient is φ = 16045454131200.

The previous prime is 34096719446983. The next prime is 34096719446987. The reversal of 34096719446985 is 58964491769043.

It is an interprime number because it is at equal distance from previous prime (34096719446983) and next prime (34096719446987).

It is not a de Polignac number, because 34096719446985 - 21 = 34096719446983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34096719446983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125201596 + ... + 125473634.

It is an arithmetic number, because the mean of its divisors is an integer number (479758590360).

Almost surely, 234096719446985 is an apocalyptic number.

It is an amenable number.

34096719446985 is a deficient number, since it is larger than the sum of its proper divisors (27312380119095).

34096719446985 is a wasteful number, since it uses less digits than its factorization.

34096719446985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272419.

The product of its (nonzero) digits is 1410877440, while the sum is 75.

The spelling of 34096719446985 in words is "thirty-four trillion, ninety-six billion, seven hundred nineteen million, four hundred forty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 13 15 39 41 61 65 123 183 195 205 257 305 533 615 771 793 915 1285 1599 2379 2501 2665 3341 3855 3965 7503 7995 10023 10537 11895 12505 15677 16705 31611 32513 37515 47031 50115 52685 78385 97539 136981 158055 162565 203801 235155 272039 410943 487695 611403 642757 684905 816117 1019005 1360195 1928271 2054715 3057015 3213785 3536507 4080585 8355841 9641355 10609521 11153599 16594379 17682535 25067523 33460797 41779205 49783137 53047605 55767995 69914023 82971895 125337615 144996787 167303985 209742069 215726927 248915685 349570115 434990361 647180781 680369539 724983935 908882299 1048710345 1078634635 2041108617 2174951805 2726646897 2866474943 3235903905 3401847695 4264755403 4544411495 8599424829 8844804007 10205543085 12794266209 13633234485 14332374715 21323777015 26534412021 37264174259 42997124145 44224020035 55441820239 63971331045 111792522777 132672060105 166325460717 174854971523 186320871295 277209101195 524564914569 558962613885 831627303585 874274857615 2273114629799 2622824572845 6819343889397 11365573148995 34096719446985