106574085072000
106,574,085,072,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 106574085072000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4608 divisors.
106574085072000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 106574085072000:
27 × 33 × 53 × 72 × 132 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 31 × 31)See below for interesting mathematical facts about the number 106574085072000 from the Numbermatics database.
Names of 106574085072000
- Cardinal: 106574085072000 can be written as One hundred six trillion, five hundred seventy-four billion, eighty-five million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.06574085072 × 1014
Factors of 106574085072000
Divisors of 106574085072000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 31 32 35 36 39 40 42 45 48 49 50 52 54 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 98 100 104 105 108 112 117 120 124 125 126 128 130 135 140 144 147 150 155 156 160 168 169 175 180 182 186 189 192 195 196 200 208 210 216 217 224 225 234 240 245 248 250 252 260 270 273 279 280 288 294 300 310 312 315 320 325 336 338 350 351 360 364 372 375 378 384 390 392 400 403 416 420 432 434 441 448 450 455 465 468 480 490 496 500 504 507 520 525 540 546 558 560 576 585 588 600 620 624 630 637 640 650 651 672 675 676 700 702 720 728 735 744 750 756 775 780 784 800 806 819 832 837 840 845 864 868 875 882 896 900 910 930 936 945 960 961 975 980 992 1000 1008 1014 1040 1050 1080 1085 1092 1116 1120 1125 1152 1170 1176 1183 1200 1209 1225 1240 1248 1260 1274 1300 1302 1323 1344 1350 1352 1365 1395 1400 1404 1440 1456 1470 1488 1500 1512 1519 1521 1550 1560 1568 1575 1600 1612 1625 1638 1664 1674 1680 1690 1728 1736 1750 1755 1764 1800 1820 1860 1872 1890 1911 1920 1922 1950 1953 1960 1984 2000 2015 2016 2028 2080 2100 2160 2170 2184 2205 2232 2240 2250 2275 2325 2340 2352 2366 2400 2418 2450 2457 2480 2496 2520 2535 2548 2600 2604 2625 2646 2688 2700 2704 2730 2790 2800 2808 2821 2880 2883 2912 2925 2940 2976 3000 3024 3038 3042 3100 3120 3136 3150 3185 3200 3224 3250 3255 3276 3348 3360 3375 3380 3456 3472 3500 3510 3528 3549 3600 3627 3640 3675 3720 3744 3780 3822 3844 3875 3900 3906 3920 3968 4000 4030 4032 4056 4095 4160 4185 4200 4225 4320 4340 4368 4410 4464 4480 4500 4550 4557 4563 4650 4680 4704 4725 4732 4800 4805 4836 4875 4900 4914 4960 4992 5040 5070 5096 5200 5208 5239 5250 5292 5400 5408 5425 5460 5580 5600 5616 5642 5733 5760 5766 5824 5850 5859 5880 5915 5952 6000 6045 6048 6076 6084 6125 6200 6240 6272 6300 6370 6448 6500 6510 6552 6615 6696 6720 6727 6750 6760 6825 6944 6975 7000 7020 7056 7098 7200 7254 7280 7350 7440 7488 7560 7595 7605 7644 7688 7750 7800 7812 7840 7875 8000 8060 8064 8112 8190 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5074956432000 5328704253600 5920782504000 6660880317000 7104939004800 7612434648000 8198006544000 8881173756000 10657408507200 11841565008000 13321760634000 15224869296000 17762347512000 21314817014400 26643521268000 35524695024000 53287042536000 106574085072000
- Sum of all divisors σ(n): 510946896844800
- Sum of proper divisors (its aliquot sum) s(n): 404372811772800
- 106574085072000 is an abundant number, because the sum of its proper divisors (404372811772800) is greater than itself. Its abundance is 297798726700800
Bases of 106574085072000
- Binary: 110000011101101101101100111101110100100100000002
- Hexadecimal: 0x60EDB67BA480
- Base-36: 11RZGIL9C0
Squares and roots of 106574085072000
- 106574085072000 squared (1065740850720002) is 11358035608933893245184000000
- 106574085072000 cubed (1065740850720003) is 1210472253237326061936405770293248000000000
-
The
square root of 106574085072000 is 10323472.5297256445 -
The
cube root of 106574085072000 is 47411.5191359829
Scales and comparisons
How big is 106574085072000?- 106,574,085,072,000 seconds is equal to 3,388,726 years, 13 weeks.
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To count from 1 to 106,574,085,072,000 would take you about eight million, four hundred seventy-one thousand, eight hundred fifteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 106574085072000 cubic inches would be around 3951 feet tall.
Recreational maths with 106574085072000
- 106574085072000 backwards is 000270580475601
- 106574085072000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106574085072000's digits is 45
- More coming soon!
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The information we have on file for 106574085072000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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