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116314541540 = 22523229379097
BaseRepresentation
bin110110001010011100…
…0110000110111100100
3102010020011022220220222
41230110320300313210
53401203010312130
6125233440143512
711255245201361
oct1542470606744
9363204286828
10116314541540
114536858768a
121a661607b98
13ac787b5512
1458b5aad468
15305b662ce5
hex1b14e30de4

116314541540 has 72 divisors (see below), whose sum is σ = 264147904440. Its totient is φ = 42968257024.

The previous prime is 116314541537. The next prime is 116314541549. The reversal of 116314541540 is 45145413611.

It can be written as a sum of positive squares in 4 ways, for example, as 37397371456 + 78917170084 = 193384^2 + 280922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116314541540.

It is not an unprimeable number, because it can be changed into a prime (116314541549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117272 + ... + 496368.

It is an arithmetic number, because the mean of its divisors is an integer number (3668720895).

Almost surely, 2116314541540 is an apocalyptic number.

116314541540 is a gapful number since it is divisible by the number (10) 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 116314541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132073952220).

116314541540 is an abundant number, since it is smaller than the sum of its proper divisors (147833362900).

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

116314541540 is a wasteful number, since it uses less digits than its factorization.

116314541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379181 (or 379156 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 116314541540 in words is "one hundred sixteen billion, three hundred fourteen million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 529 580 667 1058 1334 2116 2645 2668 3335 5290 6670 10580 13340 15341 30682 61364 76705 153410 306820 379097 758194 1516388 1895485 3790970 7581940 8719231 10993813 17438462 21987626 34876924 43596155 43975252 54969065 87192310 109938130 174384620 200542313 219876260 252857699 401084626 505715398 802169252 1002711565 1011430796 1264288495 2005423130 2528576990 4010846260 5057153980 5815727077 11631454154 23262908308 29078635385 58157270770 116314541540