Search a number
-
+
114182830381248 = 263465381336887
BaseRepresentation
bin11001111101100101000011…
…000010110101100011000000
3112222021202211202212011110000
4121331211003002311203000
5104431232414034144443
61042502511303240000
733023302660235316
oct3175450302654300
9488252752764400
10114182830381248
11334227370122a2
1210981492a49000
134b93519218025
14202a69ad2c0b6
15d302566128d3
hex67d9430b58c0

114182830381248 has 140 divisors (see below), whose sum is σ = 338479861156272. Its totient is φ = 38060248343040.

The previous prime is 114182830381237. The next prime is 114182830381283. The reversal of 114182830381248 is 842183038281411.

114182830381248 is a `hidden beast` number, since 1 + 1 + 4 + 18 + 2 + 8 + 3 + 0 + 381 + 248 = 666.

It is a super-3 number, since 3×1141828303812483 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114182830381194 and 114182830381203.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338766661 + ... + 339103547.

Almost surely, 2114182830381248 is an apocalyptic number.

114182830381248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114182830381248 is an abundant number, since it is smaller than the sum of its proper divisors (224297030775024).

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

114182830381248 is an equidigital number, since it uses as much as digits as its factorization.

114182830381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402292 (or 402273 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 114182830381248 in words is "one hundred fourteen trillion, one hundred eighty-two billion, eight hundred thirty million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 65381 130762 196143 261524 336887 392286 523048 588429 673774 784572 1010661 1046096 1176858 1347548 1569144 1765287 2021322 2092192 2353716 2695096 3031983 3138288 3530574 4042644 4184384 4707432 5295861 5390192 6063966 6276576 7061148 8085288 9095949 9414864 10591722 10780384 12127932 12553152 14122296 16170576 18191898 18829728 21183444 21560768 24255864 27287847 28244592 32341152 36383796 37659456 42366888 48511728 54575694 56489184 64682304 72767592 84733776 97023456 109151388 112978368 145535184 169467552 194046912 218302776 291070368 338935104 436605552 582140736 873211104 1746422208 22026008947 44052017894 66078026841 88104035788 132156053682 176208071576 198234080523 264312107364 352416143152 396468161046 528624214728 594702241569 704832286304 792936322092 1057248429456 1189404483138 1409664572608 1585872644184 1784106724707 2114496858912 2378808966276 3171745288368 3568213449414 4228993717824 4757617932552 6343490576736 7136426898828 9515235865104 12686981153472 14272853797656 19030471730208 28545707595312 38060943460416 57091415190624 114182830381248