Search a number
-
+
112434255004190 = 2577323071953699
BaseRepresentation
bin11001100100001000100011…
…110101001000001000011110
3112202002121110112210111212212
4121210020203311020020132
5104214110323240113230
61035043330024400422
732453051436614540
oct3144104365101036
9482077415714785
10112434255004190
1132909110881a99
121073a618616112
134a97673c329c2
141da9bc0171690
15ceea16559895
hex664223d4821e

112434255004190 has 64 divisors (see below), whose sum is σ = 234472134758400. Its totient is φ = 38019132622080.

The previous prime is 112434255004189. The next prime is 112434255004249. The reversal of 112434255004190 is 91400552434211.

It is a super-2 number, since 2×1124342550041902 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117415961 + ... + 118369659.

It is an arithmetic number, because the mean of its divisors is an integer number (3663627105600).

Almost surely, 2112434255004190 is an apocalyptic number.

112434255004190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112434255004190 is an abundant number, since it is smaller than the sum of its proper divisors (122037879754210).

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

112434255004190 is a wasteful number, since it uses less digits than its factorization.

112434255004190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976857.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 112434255004190 in words is "one hundred twelve trillion, four hundred thirty-four billion, two hundred fifty-five million, four thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 73 146 365 511 730 1022 2555 5110 23071 46142 115355 161497 230710 322994 807485 953699 1614970 1684183 1907398 3368366 4768495 6675893 8420915 9536990 11789281 13351786 16841830 23578562 33379465 58946405 66758930 69620027 117892810 139240054 348100135 487340189 696200270 974680378 2436700945 4873401890 22002789629 44005579258 110013948145 154019527403 220027896290 308039054806 770097637015 1540195274030 1606203642917 3212407285834 8031018214585 11243425500419 16062036429170 22486851000838 56217127502095 112434255004190