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113004043331040 = 25325461170227831
BaseRepresentation
bin11001101100011011001101…
…110111000110010111100000
3112211010002012002001120000200
4121230123031313012113200
5104302424240043043130
61040201201341545200
732542162352521041
oct3154331567062740
9484102162046020
10113004043331040
11330088224a6374
1210810b35575200
134b0930a6b4824
141dc95d3c2a8c8
15d0e763dda760
hex66c6cddc65e0

113004043331040 has 144 divisors (see below), whose sum is σ = 386462799698976. Its totient is φ = 30069043891200.

The previous prime is 113004043330999. The next prime is 113004043331077. The reversal of 113004043331040 is 40133340400311.

113004043331040 is a `hidden beast` number, since 1 + 1 + 300 + 4 + 0 + 4 + 3 + 3 + 310 + 40 = 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 = 113004043330995 and 113004043331013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84450076 + ... + 85777755.

It is an arithmetic number, because the mean of its divisors is an integer number (2683769442354).

Almost surely, 2113004043331040 is an apocalyptic number.

113004043331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113004043331040 is an abundant number, since it is smaller than the sum of its proper divisors (273458756367936).

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

113004043331040 is a wasteful number, since it uses less digits than its factorization.

113004043331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170228313 (or 170228302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 113004043331040 its reverse (40133340400311), we get a palindrome (153137383731351).

The spelling of 113004043331040 in words is "one hundred thirteen trillion, four billion, forty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 461 480 720 922 1383 1440 1844 2305 2766 3688 4149 4610 5532 6915 7376 8298 9220 11064 13830 14752 16596 18440 20745 22128 27660 33192 36880 41490 44256 55320 66384 73760 82980 110640 132768 165960 221280 331920 663840 170227831 340455662 510683493 680911324 851139155 1021366986 1361822648 1532050479 1702278310 2042733972 2553417465 2723645296 3064100958 3404556620 4085467944 5106834930 5447290592 6128201916 6809113240 7660252395 8170935888 10213669860 12256403832 13618226480 15320504790 16341871776 20427339720 24512807664 27236452960 30641009580 40854679440 49025615328 61282019160 78475030091 81709358880 122564038320 156950060182 235425090273 245128076640 313900120364 392375150455 470850180546 627800240728 706275270819 784750300910 941700361092 1177125451365 1255600481456 1412550541638 1569500601820 1883400722184 2354250902730 2511200962912 2825101083276 3139001203640 3531376354095 3766801444368 4708501805460 5650202166552 6278002407280 7062752708190 7533602888736 9417003610920 11300404333104 12556004814560 14125505416380 18834007221840 22600808666208 28251010832760 37668014443680 56502021665520 113004043331040