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112341000424032 = 25322372211234863
BaseRepresentation
bin11001100010110001101101…
…011011001000101001100000
3112201202200202110212000002200
4121202301231123020221200
5104211043332102032112
61034532424303213200
732443240501016232
oct3142615533105140
9481680673760080
10112341000424032
1132882607019736
12107245318a7200
134a8b931a71b63
141da5494d1c252
15cec3a95eccdc
hex662c6d6c8a60

112341000424032 has 144 divisors (see below), whose sum is σ = 333365743646208. Its totient is φ = 35818221162240.

The previous prime is 112341000423989. The next prime is 112341000424039. The reversal of 112341000424032 is 230424000143211.

112341000424032 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 410 + 0 + 0 + 4 + 240 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 112341000423987 and 112341000424005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112341000424039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478208233 + ... + 478443095.

It is an arithmetic number, because the mean of its divisors is an integer number (2315039886432).

Almost surely, 2112341000424032 is an apocalyptic number.

112341000424032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112341000424032 is an abundant number, since it is smaller than the sum of its proper divisors (221024743222176).

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

112341000424032 is a wasteful number, since it uses less digits than its factorization.

112341000424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307113 (or 307102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112341000424032 its reverse (230424000143211), we get a palindrome (342765000567243).

The spelling of 112341000424032 in words is "one hundred twelve trillion, three hundred forty-one billion, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 72211 144422 216633 234863 288844 433266 469726 577688 649899 704589 866532 939452 1155376 1299798 1409178 1660853 1733064 1878904 2113767 2310752 2599596 2818356 3321706 3466128 3757808 4227534 4982559 5199192 5401849 5636712 6643412 6932256 7515616 8455068 9965118 10398384 10803698 11273424 13286824 14947677 16205547 16910136 19930236 20796768 21607396 22546848 26573648 29895354 32411094 33820272 39860472 43214792 48616641 53147296 59790708 64822188 67640544 79720944 86429584 97233282 119581416 129644376 159441888 172859168 194466564 239162832 259288752 388933128 478325664 518577504 777866256 1555732512 16959692093 33919384186 50879076279 67838768372 101758152558 135677536744 152637228837 203516305116 271355073488 305274457674 390072918139 407032610232 542710146976 610548915348 780145836278 814065220464 1170218754417 1221097830696 1560291672556 1628130440928 2340437508834 2442195661392 3120583345112 3510656263251 4680875017668 4884391322784 6241166690224 7021312526502 9361750035336 12482333380448 14042625053004 18723500070672 28085250106008 37447000141344 56170500212016 112341000424032