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114244312104 = 233213293416573
BaseRepresentation
bin110101001100101111…
…1011101110000101000
3101220212212211101000200
41222121133131300220
53332433020441404
6124252204032200
711153036426136
oct1523137356050
9356785741020
10114244312104
11444a5a3266a
121a184232660
13aa0891c0a0
14575ab72756
152e89a2b839
hex1a997ddc28

114244312104 has 96 divisors (see below), whose sum is σ = 334350623880. Its totient is φ = 35032038912.

The previous prime is 114244312097. The next prime is 114244312153. The reversal of 114244312104 is 401213442411.

114244312104 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 443 + 1 + 210 + 4 = 666.

114244312104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107892540900 + 6351771204 = 328470^2 + 79698^2 .

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, 65962 + ... + 482534.

Almost surely, 2114244312104 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 114244312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167175311940).

114244312104 is an abundant number, since it is smaller than the sum of its proper divisors (220106311776).

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

114244312104 is a wasteful number, since it uses less digits than its factorization.

114244312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416891 (or 416884 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114244312104 its reverse (401213442411), we get a palindrome (515457754515).

The spelling of 114244312104 in words is "one hundred fourteen billion, two hundred forty-four million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 15236 21096 22854 30472 34281 45708 68562 91416 137124 274248 416573 833146 1249719 1666292 2499438 3332584 3749157 4998876 5415449 7498314 9997752 10830898 14996628 16246347 21661796 29993256 32492694 43323592 48739041 64985388 97478082 122055889 129970776 194956164 244111778 366167667 389912328 488223556 732335334 976447112 1098503001 1464670668 1586726557 2197006002 2929341336 3173453114 4394012004 4760179671 6346906228 8788024008 9520359342 12693812456 14280539013 19040718684 28561078026 38081437368 57122156052 114244312104