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116260443414 = 232197113813467
BaseRepresentation
bin110110001000110101…
…0011001010100010110
3102010002101112110020200
41230101222121110112
53401100133142124
6125224224441330
711254020315033
oct1542152312426
9363071473220
10116260443414
114533aa97995
121a647479246
13ac6a5239ab
1458ac82a38a
153056a28bc9
hex1b11a99516

116260443414 has 96 divisors (see below), whose sum is σ = 269162300160. Its totient is φ = 36160084800.

The previous prime is 116260443367. The next prime is 116260443419. The reversal of 116260443414 is 414344062611.

116260443414 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 604 + 4 + 3 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116260443419) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33531709 + ... + 33535175.

It is an arithmetic number, because the mean of its divisors is an integer number (2803773960).

Almost surely, 2116260443414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116260443414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134581150080).

116260443414 is an abundant number, since it is smaller than the sum of its proper divisors (152901856746).

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

116260443414 is a wasteful number, since it uses less digits than its factorization.

116260443414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 116260443414 in words is "one hundred sixteen billion, two hundred sixty million, four hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 1381 2698 2762 3467 4047 4143 6934 8094 8286 10401 12141 12429 20802 24282 24858 26239 31203 52478 62406 65873 78717 98051 131746 157434 196102 197619 236151 246157 294153 395238 472302 492314 588306 592857 738471 882459 1185714 1476942 1764918 1862969 2215413 3725938 4430826 4676983 4787927 5588907 9353966 9575854 11177814 14030949 14363781 16766721 28061898 28727562 33533442 42092847 43091343 84185694 86182686 90970613 181941226 272911839 339942817 545823678 679885634 818735517 1019828451 1637471034 2039656902 3059485353 6118970706 6458913523 12917827046 19376740569 38753481138 58130221707 116260443414