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16336142334 = 232231271571979
BaseRepresentation
bin11110011011011010…
…11011111111111110
31120011111100000101200
433031231123333332
5231424023023314
611301004120330
71115552630061
oct171555337776
946144300350
1016336142334
116a23365586
1231bab360a6
1317045c9a15
14b0d8728d8
15659293709
hex3cdb5bffe

16336142334 has 96 divisors (see below), whose sum is σ = 37480734720. Its totient is φ = 5132102976.

The previous prime is 16336142327. The next prime is 16336142363. The reversal of 16336142334 is 43324163361.

16336142334 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 614 + 2 + 3 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8253757 + ... + 8255735.

It is an arithmetic number, because the mean of its divisors is an integer number (390424320).

Almost surely, 216336142334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16336142334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740367360).

16336142334 is an abundant number, since it is smaller than the sum of its proper divisors (21144592386).

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

16336142334 is a wasteful number, since it uses less digits than its factorization.

16336142334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2291 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 16336142334 in words is "sixteen billion, three hundred thirty-six million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 157 207 254 314 381 414 471 762 942 1143 1413 1979 2286 2826 2921 3611 3958 5842 5937 7222 8763 10833 11874 17526 17811 19939 21666 26289 32499 35622 39878 45517 52578 59817 64998 91034 119634 136551 179451 251333 273102 310703 358902 409653 458597 502666 621406 753999 819306 917194 932109 1375791 1507998 1864218 2261997 2751582 2796327 4127373 4523994 5592654 5780659 7146169 8254746 11561318 14292338 17341977 21438507 34683954 39459281 42877014 52025931 64315521 78918562 104051862 118377843 128631042 236755686 355133529 710267058 907563463 1815126926 2722690389 5445380778 8168071167 16336142334