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112340454140304 = 24331331876276637
BaseRepresentation
bin11001100010110001001100…
…110111001110100110010000
3112201202122100101220220201000
4121202301030313032212100
5104211041222224442204
61034532254150342000
732443221115463265
oct3142611467164620
9481678311826630
10112340454140304
113288235671a685
12107243ba95a900
134a8b875833050
141da544255926c
15cec376691039
hex662c4cdce990

112340454140304 has 160 divisors (see below), whose sum is σ = 347372244947840. Its totient is φ = 34555442047488.

The previous prime is 112340454140303. The next prime is 112340454140333. The reversal of 112340454140304 is 403041454043211.

It is a happy number.

112340454140304 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 40 + 4 + 541 + 40 + 30 + 4 = 666.

It is a super-3 number, since 3×1123404541403043 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (112340454140303) 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, 14759874 + ... + 21036510.

It is an arithmetic number, because the mean of its divisors is an integer number (2171076530924).

Almost surely, 2112340454140304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112340454140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173686122473920).

112340454140304 is an abundant number, since it is smaller than the sum of its proper divisors (235031790807536).

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

112340454140304 is a wasteful number, since it uses less digits than its factorization.

112340454140304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279854 (or 6279842 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 112340454140304 in words is "one hundred twelve trillion, three hundred forty billion, four hundred fifty-four million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3187 5616 6374 9561 12748 19122 25496 28683 38244 41431 50992 57366 76488 82862 86049 114732 124293 152976 165724 172098 229464 248586 331448 344196 372879 458928 497172 662896 688392 745758 994344 1118637 1376784 1491516 1988688 2237274 2983032 4474548 5966064 6276637 8949096 12553274 17898192 18829911 25106548 37659822 50213096 56489733 75319644 81596281 100426192 112979466 150639288 163192562 169469199 225958932 244788843 301278576 326385124 338938398 451917864 489577686 652770248 677876796 734366529 903835728 979155372 1305540496 1355753592 1468733058 1958310744 2203099587 2711507184 2937466116 3916621488 4406199174 5874932232 8812398348 11749864464 17624796696 20003642119 35249593392 40007284238 60010926357 80014568476 120021852714 160029136952 180032779071 240043705428 260047347547 320058273904 360065558142 480087410856 520094695094 540098337213 720131116284 780142042641 960174821712 1040189390188 1080196674426 1440262232568 1560284085282 2080378780376 2160393348852 2340426127923 2880524465136 3120568170564 4160757560752 4320786697704 4680852255846 6241136341128 7021278383769 8641573395408 9361704511692 12482272682256 14042556767538 18723409023384 28085113535076 37446818046768 56170227070152 112340454140304