Search a number
-
+
112341470256 = 243247130312739
BaseRepresentation
bin110100010100000010…
…0101100110000110000
3101201222021021222201200
41220220010230300300
53320033404022011
6123335311331200
711054632512231
oct1505004546060
9351867258650
10112341470256
11437099163a4
1219932b20b00
13a794631b72
14561a169088
152dc795b856
hex1a2812cc30

112341470256 has 120 divisors (see below), whose sum is σ = 321361098240. Its totient is φ = 36619406208.

The previous prime is 112341470237. The next prime is 112341470257. The reversal of 112341470256 is 652074143211.

112341470256 is a `hidden beast` number, since 1 + 123 + 41 + 470 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112341470256.

It is not an unprimeable number, because it can be changed into a prime (112341470257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8812335 + ... + 8825073.

It is an arithmetic number, because the mean of its divisors is an integer number (2678009152).

Almost surely, 2112341470256 is an apocalyptic number.

112341470256 is a gapful number since it is divisible by the number (16) 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 112341470256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160680549120).

112341470256 is an abundant number, since it is smaller than the sum of its proper divisors (209019627984).

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

112341470256 is a wasteful number, since it uses less digits than its factorization.

112341470256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 112341470256 in words is "one hundred twelve billion, three hundred forty-one million, four hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1303 1692 2256 2606 3384 3909 5212 6768 7818 10424 11727 12739 15636 20848 23454 25478 31272 38217 46908 50956 61241 62544 76434 93816 101912 114651 122482 152868 183723 187632 203824 229302 244964 305736 367446 458604 489928 551169 598733 611472 734892 917208 979856 1102338 1197466 1469784 1796199 1834416 2204676 2394932 2939568 3592398 4409352 4789864 5388597 7184796 8818704 9579728 10777194 14369592 16598917 21554388 28739184 33197834 43108776 49796751 66395668 86217552 99593502 132791336 149390253 199187004 265582672 298780506 398374008 597561012 780149099 796748016 1195122024 1560298198 2340447297 2390244048 3120596396 4680894594 6241192792 7021341891 9361789188 12482385584 14042683782 18723578376 28085367564 37447156752 56170735128 112341470256