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116241312384 = 2733101333203
BaseRepresentation
bin110110001000010000…
…1011010101010000000
3102010001001112111102000
41230100201122222000
53401030233444014
6125222302424000
711253365565321
oct1542041325200
9363031474360
10116241312384
114533021051a
121a640b92000
13ac66585c62
1458aa08a448
153054eea509
hex1b1085aa80

116241312384 has 128 divisors (see below), whose sum is σ = 343422331200. Its totient is φ = 38707688448.

The previous prime is 116241312373. The next prime is 116241312419. The reversal of 116241312384 is 483213142611.

116241312384 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 413 + 1 + 238 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484327 + ... + 3517529.

Almost surely, 2116241312384 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 116241312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171711165600).

116241312384 is an abundant number, since it is smaller than the sum of its proper divisors (227181018816).

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

116241312384 is a wasteful number, since it uses less digits than its factorization.

116241312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239 (or 34221 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 116241312384 its reverse (483213142611), we get a palindrome (599454454995).

The spelling of 116241312384 in words is "one hundred sixteen billion, two hundred forty-one million, three hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1013 1152 1728 2026 3039 3456 4052 6078 8104 9117 12156 16208 18234 24312 27351 32416 33203 36468 48624 54702 64832 66406 72936 97248 99609 109404 129664 132812 145872 194496 199218 218808 265624 291744 298827 388992 398436 437616 531248 583488 597654 796872 875232 896481 1062496 1166976 1195308 1593744 1750464 1792962 2124992 2390616 3187488 3500928 3585924 4249984 4781232 6374976 7171848 9562464 12749952 14343696 19124928 28687392 33634639 38249856 57374784 67269278 100903917 114749568 134538556 201807834 269077112 302711751 403615668 538154224 605423502 807231336 908135253 1076308448 1210847004 1614462672 1816270506 2152616896 2421694008 3228925344 3632541012 4305233792 4843388016 6457850688 7265082024 9686776032 12915701376 14530164048 19373552064 29060328096 38747104128 58120656192 116241312384