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14054363882064 = 24331114472043931
BaseRepresentation
bin1100110010000100100101…
…0111011110001001010000
31211202120202210011022012000
43030201021113132021100
53320231314123211224
645520252521434000
72650252144622412
oct314411127361120
954676683138160
1014054363882064
114529471018940
1216ab9b603b900
137ac422b1c0bc
143683405949b2
151958bd9450c9
hexcc8495de250

14054363882064 has 160 divisors (see below), whose sum is σ = 44039049415680. Its totient is φ = 4255952803200.

The previous prime is 14054363882051. The next prime is 14054363882101. The reversal of 14054363882064 is 46028836345041.

14054363882064 is a `hidden beast` number, since 1 + 4 + 0 + 54 + 3 + 6 + 388 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14054363882064.

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 31 ways as a sum of consecutive naturals, for example, 5854179 + ... + 7898109.

It is an arithmetic number, because the mean of its divisors is an integer number (275244058848).

Almost surely, 214054363882064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14054363882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019524707840).

14054363882064 is an abundant number, since it is smaller than the sum of its proper divisors (29984685533616).

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

14054363882064 is a wasteful number, since it uses less digits than its factorization.

14054363882064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045406 (or 2045394 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 14054363882064 in words is "fourteen trillion, fifty-four billion, three hundred sixty-three million, eight hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1447 1584 2376 2894 4341 4752 5788 8682 11576 13023 15917 17364 23152 26046 31834 34728 39069 47751 52092 63668 69456 78138 95502 104184 127336 143253 156276 191004 208368 254672 286506 312552 382008 429759 573012 625104 764016 859518 1146024 1719036 2043931 2292048 3438072 4087862 6131793 6876144 8175724 12263586 16351448 18395379 22483241 24527172 32702896 36790758 44966482 49054344 55186137 67449723 73581516 89932964 98108688 110372274 134899446 147163032 179865928 202349169 220744548 269798892 294326064 359731856 404698338 441489096 539597784 607047507 809396676 882978192 1079195568 1214095014 1618793352 2428190028 2957568157 3237586704 4856380056 5915136314 8872704471 9712760112 11830272628 17745408942 23660545256 26618113413 32533249727 35490817884 47321090512 53236226826 65066499454 70981635768 79854340239 97599749181 106472453652 130132998908 141963271536 159708680478 195199498362 212944907304 260265997816 292799247543 319417360956 390398996724 425889814608 520531995632 585598495086 638834721912 780797993448 878397742629 1171196990172 1277669443824 1561595986896 1756795485258 2342393980344 3513590970516 4684787960688 7027181941032 14054363882064