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14052864681108 = 223211791273537031
BaseRepresentation
bin1100110001111111000000…
…0000011110010010010100
31211202102220022011000002200
43030133300000132102110
53320220231324243413
645515444044404500
72650200041623221
oct314376000362224
954672808130080
1014052864681108
114528871833a90
1216ab657b46730
137ac244349746
1436823b41c948
15195832007573
hexcc7f001e494

14052864681108 has 144 divisors (see below), whose sum is σ = 39551374786560. Its totient is φ = 4171431700800.

The previous prime is 14052864681071. The next prime is 14052864681131. The reversal of 14052864681108 is 80118646825041.

14052864681108 is a `hidden beast` number, since 1 + 4 + 0 + 528 + 6 + 4 + 6 + 8 + 1 + 108 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204553 + ... + 5741583.

Almost surely, 214052864681108 is an apocalyptic number.

14052864681108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14052864681108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775687393280).

14052864681108 is an abundant number, since it is smaller than the sum of its proper divisors (25498510105452).

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

14052864681108 is a wasteful number, since it uses less digits than its factorization.

14052864681108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537258 (or 3537253 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 14052864681108 in words is "fourteen trillion, fifty-two billion, eight hundred sixty-four million, six hundred eighty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 127 132 158 198 237 254 316 381 396 474 508 711 762 869 948 1143 1397 1422 1524 1738 2286 2607 2794 2844 3476 4191 4572 5214 5588 7821 8382 10033 10428 12573 15642 16764 20066 25146 30099 31284 40132 50292 60198 90297 110363 120396 180594 220726 331089 361188 441452 662178 993267 1324356 1986534 3537031 3973068 7074062 10611093 14148124 21222186 31833279 38907341 42444372 63666558 77814682 116722023 127333116 155629364 233444046 279425449 350166069 449202937 466888092 558850898 700332138 838276347 898405874 1117701796 1347608811 1400664276 1676552694 1796811748 2514829041 2695217622 3073679939 3353105388 4042826433 4941232307 5029658082 5390435244 6147359878 8085652866 9221039817 9882464614 10059316164 12294719756 14823696921 16171305732 18442079634 19764929228 27663119451 29647393842 35487032023 36884159268 44471090763 55326238902 59294787684 70974064046 88942181526 106461096069 110652477804 141948128092 177884363052 212922192138 319383288207 390357352253 425844384276 638766576414 780714704506 1171072056759 1277533152828 1561429409012 2342144113518 3513216170277 4684288227036 7026432340554 14052864681108