Search a number
-
+
230454200113104 = 24311243192062073
BaseRepresentation
bin110100011001100011001100…
…101111000001011111010000
31010012222012120102222012200210
4310121203030233001133100
5220201230200212104404
62134045110433244120
766353523625202352
oct6431431457013720
91105865512865623
10230454200113104
1167480094042a00
1221a1b699403640
139b78978cc44b6
1440ca0856290d2
151b99998c09689
hexd198ccbc17d0

230454200113104 has 120 divisors (see below), whose sum is σ = 655900296944256. Its totient is φ = 69672576089600.

The previous prime is 230454200113079. The next prime is 230454200113139. The reversal of 230454200113104 is 401311002454032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43527789 + ... + 48534284.

Almost surely, 2230454200113104 is an apocalyptic number.

230454200113104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230454200113104 is an abundant number, since it is smaller than the sum of its proper divisors (425446096831152).

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

230454200113104 is a wasteful number, since it uses less digits than its factorization.

230454200113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92062537 (or 92062520 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 230454200113104 its reverse (401311002454032), we get a palindrome (631765202567136).

The spelling of 230454200113104 in words is "two hundred thirty trillion, four hundred fifty-four billion, two hundred million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 431 484 528 726 862 968 1293 1452 1724 1936 2586 2904 3448 4741 5172 5808 6896 9482 10344 14223 18964 20688 28446 37928 52151 56892 75856 104302 113784 156453 208604 227568 312906 417208 625812 834416 1251624 2503248 92062073 184124146 276186219 368248292 552372438 736496584 1012682803 1104744876 1472993168 2025365606 2209489752 3038048409 4050731212 4418979504 6076096818 8101462424 11139510833 12152193636 16202924848 22279021666 24304387272 33418532499 39678753463 44558043332 48608774544 66837064998 79357506926 89116086664 119036260389 133674129996 158715013852 178232173328 238072520778 267348259992 317430027704 436466288093 476145041556 534696519984 634860055408 872932576186 952290083112 1309398864279 1745865152372 1904580166224 2618797728558 3491730304744 4801129169023 5237595457116 6983460609488 9602258338046 10475190914232 14403387507069 19204516676092 20950381828464 28806775014138 38409033352184 57613550028276 76818066704368 115227100056552 230454200113104