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34140333521 = 71719223109317
BaseRepresentation
bin11111110010111011…
…000010010111010001
310021010022001122020002
4133302323002113101
51024404411133041
623403413455345
72316013022030
oct376273022721
9107108048202
1034140333521
111352a367978
126749641555
1332b10ac8a8
14191c28c717
15d4c36e59b
hex7f2ec25d1

34140333521 has 96 divisors (see below), whose sum is σ = 46059425280. Its totient is φ = 24650790912.

The previous prime is 34140333509. The next prime is 34140333527. The reversal of 34140333521 is 12533304143.

It is not a de Polignac number, because 34140333521 - 218 = 34140071377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34140333527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107698055 + ... + 107698371.

It is an arithmetic number, because the mean of its divisors is an integer number (479785680).

Almost surely, 234140333521 is an apocalyptic number.

It is an amenable number.

34140333521 is a deficient number, since it is larger than the sum of its proper divisors (11919091759).

34140333521 is a wasteful number, since it uses less digits than its factorization.

34140333521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 492 counting only the distinct ones).

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

Adding to 34140333521 its reverse (12533304143), we get a palindrome (46673637664).

The spelling of 34140333521 in words is "thirty-four billion, one hundred forty million, three hundred thirty-three thousand, five hundred twenty-one".

Divisors: 1 7 17 19 23 109 119 133 161 317 323 361 391 437 763 1853 2071 2219 2261 2507 2527 2737 3059 5389 6023 6137 7291 7429 8303 12971 14497 17549 34553 35207 37723 39349 42161 42619 42959 47633 51037 52003 58121 102391 114437 123947 138529 141151 241871 246449 275443 298333 333431 587401 656507 668933 716737 794719 801059 809761 867629 905027 969703 988057 1945429 2354993 2632051 4111807 4595549 4682531 5563033 5668327 6335189 11160619 12473633 13510223 13618003 15099661 15385459 16484951 18424357 44744867 78124333 87315431 94571561 105697627 107698213 212051761 256694237 286893559 313214069 1484362327 1796859659 2008254913 4877190503 34140333521