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112304340240 = 24351318774073
BaseRepresentation
bin110100010010111011…
…1000011110100010000
3101201212200102120220220
41220211313003310100
53314444402341430
6123331503433040
711054002066401
oct1504567036420
9351780376826
10112304340240
114369a966034
12199225b5780
13a789a31741
1456152619a8
152dc4575110
hex1a25dc3d10

112304340240 has 160 divisors (see below), whose sum is σ = 351287266176. Its totient is φ = 29678039040.

The previous prime is 112304340229. The next prime is 112304340259. The reversal of 112304340240 is 42043403211.

It is a super-2 number, since 2×1123043402402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112304340240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27570844 + ... + 27574916.

Almost surely, 2112304340240 is an apocalyptic number.

112304340240 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 112304340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175643633088).

112304340240 is an abundant number, since it is smaller than the sum of its proper divisors (238982925936).

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

112304340240 is a wasteful number, since it uses less digits than its factorization.

112304340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112304340240 its reverse (42043403211), we get a palindrome (154347743451).

The spelling of 112304340240 in words is "one hundred twelve billion, three hundred four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 877 1048 1310 1572 1754 1965 2096 2620 2631 3144 3508 3930 4073 4385 5240 5262 6288 7016 7860 8146 8770 10480 10524 12219 13155 14032 15720 16292 17540 20365 21048 24438 26310 31440 32584 35080 40730 42096 48876 52620 61095 65168 70160 81460 97752 105240 114887 122190 162920 195504 210480 229774 244380 325840 344661 459548 488760 533563 574435 689322 919096 977520 1067126 1148870 1378644 1600689 1723305 1838192 2134252 2297740 2667815 2757288 3201378 3446610 3572021 4268504 4595480 5335630 5514576 6402756 6893220 7144042 8003445 8537008 9190960 10671260 10716063 12805512 13786440 14288084 16006890 17860105 21342520 21432126 25611024 27572880 28576168 32013780 35720210 42685040 42864252 53580315 57152336 64027560 71440420 85728504 107160630 128055120 142880840 171457008 214321260 285761680 428642520 467934751 857285040 935869502 1403804253 1871739004 2339673755 2807608506 3743478008 4679347510 5615217012 7019021265 7486956016 9358695020 11230434024 14038042530 18717390040 22460868048 28076085060 37434780080 56152170120 112304340240