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116141514336 = 253491948757
BaseRepresentation
bin110110000101010010…
…0101101111001100000
3102002210002202020020000
41230022210231321200
53400324211424321
6125204335420000
711251044404031
oct1541244557140
9362702666200
10116141514336
11452899477a1
121a613684600
13ac4b9b3363
14589ab0ca88
15304b385826
hex1b0a92de60

116141514336 has 120 divisors (see below), whose sum is σ = 341947655280. Its totient is φ = 38670918912.

The previous prime is 116141514319. The next prime is 116141514341. The reversal of 116141514336 is 633415141611.

116141514336 is a `hidden beast` number, since 1 + 1 + 614 + 1 + 5 + 1 + 4 + 3 + 36 = 666.

It is a super-3 number, since 3×1161415143363 (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116141514336.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2357670 + ... + 2406426.

It is an arithmetic number, because the mean of its divisors is an integer number (2849563794).

Almost surely, 2116141514336 is an apocalyptic number.

116141514336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116141514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170973827640).

116141514336 is an abundant number, since it is smaller than the sum of its proper divisors (225806140944).

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

116141514336 is an equidigital number, since it uses as much as digits as its factorization.

116141514336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49698 (or 49681 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 116141514336 its reverse (633415141611), we get a palindrome (749556655947).

The spelling of 116141514336 in words is "one hundred sixteen billion, one hundred forty-one million, five hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 919 1296 1838 2592 2757 3676 5514 7352 8271 11028 14704 16542 22056 24813 29408 33084 44112 48757 49626 66168 74439 88224 97514 99252 132336 146271 148878 195028 198504 264672 292542 297756 390056 397008 438813 585084 595512 780112 794016 877626 1170168 1191024 1316439 1560224 1755252 2340336 2382048 2632878 3510504 3949317 4680672 5265756 7021008 7898634 10531512 14042016 15797268 21063024 31594536 42126048 44807683 63189072 89615366 126378144 134423049 179230732 268846098 358461464 403269147 537692196 716922928 806538294 1075384392 1209807441 1433845856 1613076588 2150768784 2419614882 3226153176 3629422323 4301537568 4839229764 6452306352 7258844646 9678459528 12904612704 14517689292 19356919056 29035378584 38713838112 58070757168 116141514336