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16434044155256 = 2371321879924151
BaseRepresentation
bin1110111100100101100101…
…0111010011010101111000
32011012002010210102110011112
43233021121113103111320
54123223410300432011
654541410132415452
73314214635324450
oct357113127232570
964162123373145
1016434044155256
115266703544572
121a15040177588
13922954000100
1440b5aa694d60
151d774949658b
hexef2595d3578

16434044155256 has 96 divisors (see below), whose sum is σ = 38153430489600. Its totient is φ = 6497913052800.

The previous prime is 16434044155129. The next prime is 16434044155271. The reversal of 16434044155256 is 65255144043461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17320781 + ... + 18244931.

It is an arithmetic number, because the mean of its divisors is an integer number (397431567600).

Almost surely, 216434044155256 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 16434044155256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076715244800).

16434044155256 is an abundant number, since it is smaller than the sum of its proper divisors (21719386334344).

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

16434044155256 is a wasteful number, since it uses less digits than its factorization.

16434044155256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926069 (or 926052 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

The spelling of 16434044155256 in words is "sixteen trillion, four hundred thirty-four billion, forty-four million, one hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 1879 2366 3758 4732 7516 9464 13153 15032 24427 26306 48854 52612 97708 105224 170989 195416 317551 341978 635102 683956 924151 1270204 1367912 1848302 2222857 2540408 3696604 4445714 6469057 7393208 8891428 12013963 12938114 17782856 24027926 25876228 48055852 51752456 84097741 96111704 156181519 168195482 312363038 336390964 624726076 672781928 1093270633 1249452152 1736479729 2186541266 3472959458 4373082532 6945918916 8746165064 12155358103 13891837832 22574236477 24310716206 45148472954 48621432412 90296945908 97242864824 158019655339 180593891816 293465074201 316039310678 586930148402 632078621356 1173860296804 1264157242712 2054255519407 2347720593608 4108511038814 8217022077628 16434044155256