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114730176340 = 225135910174051
BaseRepresentation
bin110101011011001110…
…0111000111101010100
3101222010202001211110101
41222312130320331110
53334431411120330
6124412321503444
711201056260013
oct1526634707524
9358122054411
10114730176340
114472521465a
121a29aaa1b84
13aa85495010
1457a54c8a7a
152eb75014ca
hex1ab6738f54

114730176340 has 96 divisors (see below), whose sum is σ = 266480565120. Its totient is φ = 41231040000.

The previous prime is 114730176311. The next prime is 114730176347. The reversal of 114730176340 is 43671037411.

It is a self number, because there is not a number n which added to its sum of digits gives 114730176340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114730176347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512315 + ... + 1586365.

It is an arithmetic number, because the mean of its divisors is an integer number (2775839220).

Almost surely, 2114730176340 is an apocalyptic number.

114730176340 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 114730176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133240282560).

114730176340 is an abundant number, since it is smaller than the sum of its proper divisors (151750388780).

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

114730176340 is a wasteful number, since it uses less digits than its factorization.

114730176340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74233 (or 74231 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 114730176340 in words is "one hundred fourteen billion, seven hundred thirty million, one hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 101 118 130 202 236 260 295 404 505 590 767 1010 1180 1313 1534 2020 2626 3068 3835 5252 5959 6565 7670 11918 13130 15340 23836 26260 29795 59590 74051 77467 119180 148102 154934 296204 309868 370255 387335 740510 774670 962663 1481020 1549340 1925326 3850652 4369009 4813315 7479151 8738018 9626630 14958302 17476036 19253260 21845045 29916604 37395755 43690090 56797117 74791510 87380180 97228963 113594234 149583020 194457926 227188468 283985585 388915852 441269909 486144815 567971170 882539818 972289630 1135942340 1765079636 1944579260 2206349545 4412699090 5736508817 8825398180 11473017634 22946035268 28682544085 57365088170 114730176340