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112240478640 = 24355338323039
BaseRepresentation
bin110100010001000001…
…1011100100110110000
3101201201020021002021110
41220202003130212300
53314332030304030
6123321302553320
711052265220103
oct1504203344660
9351636232243
10112240478640
1143667907954
1219905138840
13a779731c04
14560a99a73a
152dbdb5d1b0
hex1a220dc9b0

112240478640 has 160 divisors (see below), whose sum is σ = 355451535360. Its totient is φ = 29288117248.

The previous prime is 112240478639. The next prime is 112240478641. The reversal of 112240478640 is 46874042211.

It is an interprime number because it is at equal distance from previous prime (112240478639) and next prime (112240478641).

It is not an unprimeable number, because it can be changed into a prime (112240478641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4860241 + ... + 4883279.

It is an arithmetic number, because the mean of its divisors is an integer number (2221572096).

Almost surely, 2112240478640 is an apocalyptic number.

112240478640 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 112240478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177725767680).

112240478640 is an abundant number, since it is smaller than the sum of its proper divisors (243211056720).

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

112240478640 is a wasteful number, since it uses less digits than its factorization.

112240478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23491 (or 23485 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 112240478640 in words is "one hundred twelve billion, two hundred forty million, four hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 383 424 530 636 766 795 848 1060 1149 1272 1532 1590 1915 2120 2298 2544 3064 3180 3830 4240 4596 5745 6128 6360 7660 9192 11490 12720 15320 18384 20299 22980 23039 30640 40598 45960 46078 60897 69117 81196 91920 92156 101495 115195 121794 138234 162392 184312 202990 230390 243588 276468 304485 324784 345585 368624 405980 460780 487176 552936 608970 691170 811960 921560 974352 1105872 1217940 1221067 1382340 1623920 1843120 2435880 2442134 2764680 3663201 4871760 4884268 5529360 6105335 7326402 8823937 9768536 12210670 14652804 17647874 18316005 19537072 24421340 26471811 29305608 35295748 36632010 44119685 48842680 52943622 58611216 70591496 73264020 88239370 97685360 105887244 132359055 141182992 146528040 176478740 211774488 264718110 293056080 352957480 423548976 467668661 529436220 705914960 935337322 1058872440 1403005983 1870674644 2117744880 2338343305 2806011966 3741349288 4676686610 5612023932 7015029915 7482698576 9353373220 11224047864 14030059830 18706746440 22448095728 28060119660 37413492880 56120239320 112240478640