Search a number
-
+
16442731564014 = 237330726024969
BaseRepresentation
bin1110111101000101111100…
…1011001000101111101110
32011012220120020022112121110
43233101133023020233232
54123344203240022024
654545404150012450
73314643134145000
oct357213713105756
964186506275543
1016442731564014
11526a361341328
121a16865647126
13923709a94472
1440bb9237a370
151d7aa6ec8629
hexef45f2c8bee

16442731564014 has 64 divisors (see below), whose sum is σ = 38475315648000. Its totient is φ = 4682620442304.

The previous prime is 16442731563983. The next prime is 16442731564033. The reversal of 16442731564014 is 41046513724461.

It is a happy number.

It is a super-3 number, since 3×164427315640143 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12380679 + ... + 13644290.

It is an arithmetic number, because the mean of its divisors is an integer number (601176807000).

Almost surely, 216442731564014 is an apocalyptic number.

16442731564014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16442731564014 is an abundant number, since it is smaller than the sum of its proper divisors (22032584083986).

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

16442731564014 is a wasteful number, since it uses less digits than its factorization.

16442731564014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26025302 (or 26025288 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 16442731564014 in words is "sixteen trillion, four hundred forty-two billion, seven hundred thirty-one million, five hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 307 343 614 686 921 1029 1842 2058 2149 4298 6447 12894 15043 30086 45129 90258 105301 210602 315903 631806 26024969 52049938 78074907 156149814 182174783 364349566 546524349 1093048698 1275223481 2550446962 3825670443 7651340886 7989665483 8926564367 15979330966 17853128734 23968996449 26779693101 47937992898 53559386202 55927658381 111855316762 167782975143 335565950286 391493608667 782987217334 1174480826001 2348961652002 2740455260669 5480910521338 8221365782007 16442731564014