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4114113495921 = 3411131959316847
BaseRepresentation
bin111011110111100100010…
…001100000001101110001
3112120022020122100220220000
4323313210101200031301
51014401201023332141
612425555254140213
7603143365502052
oct73674421401561
915508218326800
104114113495921
1113468708a5090
12565414351669
1323ac615a46a0
141031a497c729
157203e2965b6
hex3bde4460371

4114113495921 has 160 divisors (see below), whose sum is σ = 7729063372800. Its totient is φ = 2143501211520.

The previous prime is 4114113495847. The next prime is 4114113495937. The reversal of 4114113495921 is 1295943114114.

4114113495921 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 1 + 13 + 49 + 592 + 1 = 666.

4114113495921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4114113495921 - 223 = 4114105107313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4114113095921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12826120 + ... + 13142966.

It is an arithmetic number, because the mean of its divisors is an integer number (48306646080).

Almost surely, 24114113495921 is an apocalyptic number.

It is an amenable number.

4114113495921 is a deficient number, since it is larger than the sum of its proper divisors (3614949876879).

4114113495921 is a wasteful number, since it uses less digits than its factorization.

4114113495921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316961 (or 316952 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 4114113495921 in words is "four trillion, one hundred fourteen billion, one hundred thirteen million, four hundred ninety-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 13 19 27 33 39 57 59 81 99 117 143 171 177 209 247 297 351 429 513 531 627 649 741 767 891 1053 1121 1287 1539 1593 1881 1947 2223 2301 2717 3363 3861 4779 5643 5841 6669 6903 8151 8437 10089 11583 12331 14573 16929 17523 20007 20709 24453 25311 30267 36993 43719 52569 62127 73359 75933 90801 110979 131157 160303 220077 227799 316847 332937 393471 480909 683397 950541 998811 1180413 1442727 2851623 3485317 4119011 4328181 6020093 8554869 10455951 12357033 12984543 18060279 18693973 25664607 31367853 37071099 45309121 54180837 56081919 66221023 78261209 94103559 111213297 135927363 162542511 168245757 198663069 205633703 234783627 243021649 282310677 333639891 355185487 407782089 487627533 504737271 595989207 616901109 704350881 729064947 860873299 1065556461 1223346267 1514211813 1787967621 1850703327 2113052643 2187194841 2582619897 2673238139 3196669383 3670038801 3907040357 4617411331 5363902863 5552109981 6339157929 6561584523 7747859691 8019714417 9590008149 11721121071 13852233993 16656329943 19684753569 23243579073 24059143251 28770024447 35163363213 41556701979 50791524641 69730737219 72177429753 105490089639 124670105937 152374573923 216532289259 316470268917 374010317811 457123721769 1371371165307 4114113495921