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14163888840 = 23352931131293
BaseRepresentation
bin11010011000011101…
…11100101011001000
31100120002212002210120
431030032330223020
5213001423420330
610301245143240
71010665032363
oct151416745310
940502762716
1014163888840
116009167362
1228b355ab20
13144956171a
149851790da
1557d707c10
hex34c3bcac8

14163888840 has 128 divisors (see below), whose sum is σ = 45375206400. Its totient is φ = 3529128960.

The previous prime is 14163888821. The next prime is 14163888853. The reversal of 14163888840 is 4888836141.

14163888840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42234 + ... + 173526.

It is an arithmetic number, because the mean of its divisors is an integer number (354493800).

Almost surely, 214163888840 is an apocalyptic number.

14163888840 is a gapful number since it is divisible by the number (10) 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 14163888840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22687603200).

14163888840 is an abundant number, since it is smaller than the sum of its proper divisors (31211317560).

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

14163888840 is a wasteful number, since it uses less digits than its factorization.

14163888840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131367 (or 131363 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 14163888840 in words is "fourteen billion, one hundred sixty-three million, eight hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1160 1240 1740 1798 1860 2697 3480 3596 3720 4495 5394 7192 8990 10788 13485 17980 21576 26970 35960 53940 107880 131293 262586 393879 525172 656465 787758 1050344 1312930 1575516 1969395 2625860 3151032 3807497 3938790 4070083 5251720 7614994 7877580 8140166 11422491 12210249 15229988 15755160 16280332 19037485 20350415 22844982 24420498 30459976 32560664 38074970 40700830 45689964 48840996 57112455 61051245 76149940 81401660 91379928 97681992 114224910 118032407 122102490 152299880 162803320 228449820 236064814 244204980 354097221 456899640 472129628 488409960 590162035 708194442 944259256 1180324070 1416388884 1770486105 2360648140 2832777768 3540972210 4721296280 7081944420 14163888840