97012643728000
97,012,643,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 97012643728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
97012643728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 97012643728000:
27 × 53 × 73 × 11 × 132 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 13 × 37 × 257)See below for interesting mathematical facts about the number 97012643728000 from the Numbermatics database.
Names of 97012643728000
- Cardinal: 97012643728000 can be written as Ninety-seven trillion, twelve billion, six hundred forty-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.7012643728 × 1013
Factors of 97012643728000
Divisors of 97012643728000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 49 50 52 55 56 64 65 70 74 77 80 88 91 98 100 104 110 112 125 128 130 140 143 148 154 160 169 175 176 182 185 196 200 208 220 224 245 250 257 259 260 275 280 286 296 308 320 325 338 343 350 352 364 370 385 392 400 407 416 440 448 455 481 490 500 514 518 520 539 550 560 572 592 616 637 640 650 676 686 700 704 715 728 740 770 784 800 814 832 845 875 880 896 910 925 962 980 1000 1001 1028 1036 1040 1078 1100 1120 1144 1183 1184 1225 1232 1274 1285 1295 1300 1352 1372 1375 1400 1408 1430 1456 1480 1540 1568 1600 1625 1628 1664 1690 1715 1750 1760 1799 1813 1820 1850 1859 1924 1925 1960 2000 2002 2035 2056 2072 2080 2156 2200 2240 2275 2288 2366 2368 2405 2450 2464 2548 2570 2590 2600 2695 2704 2744 2750 2800 2827 2849 2860 2912 2960 3080 3136 3185 3200 3250 3256 3341 3367 3380 3430 3500 3520 3575 3598 3626 3640 3700 3718 3773 3848 3850 3920 4000 4004 4070 4112 4144 4160 4225 4312 4400 4459 4480 4550 4576 4625 4732 4736 4810 4900 4928 5005 5096 5140 5180 5200 5291 5390 5408 5488 5500 5600 5654 5698 5720 5824 5915 5920 6125 6160 6253 6272 6370 6425 6475 6500 6512 6682 6734 6760 6860 7000 7007 7040 7150 7196 7252 7280 7400 7436 7546 7696 7700 7840 8000 8008 8140 8224 8281 8288 8320 8450 8575 8624 8800 8918 8995 9065 9100 9152 9250 9295 9464 9509 9620 9625 9800 9856 10010 10175 10192 10280 10360 10400 10582 10780 10816 10976 11000 11200 11308 11375 11396 11440 11648 11830 11840 12025 12250 12320 12506 12593 12691 12740 12850 12950 13000 13013 13024 13364 13468 13475 13520 13720 14000 14014 14135 14245 14300 14392 14504 14560 14800 14872 15092 15392 15400 15680 15925 16000 16016 16280 16448 16562 16576 16705 16835 16900 17150 17248 17600 17836 17875 17990 18130 18200 18304 18500 18590 18865 18928 19018 19240 19250 19600 19789 19943 20020 20350 20384 20560 20720 20800 21125 21164 21560 21632 21952 22000 22295 22400 22616 22750 22792 22880 23387 23569 23660 23680 24050 24500 24640 25012 25025 25186 25382 25480 25700 25900 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213214601600 216546079750 220483281200 233203470500 238360304000 242531609320 247481234000 251980892800 262196334400 266518252000 275604101500 277178982080 282835696000 287019656000 298500442240 303164511650 314976116000 327745418000 339205048000 346473727600 352773249920 373125552800 374566192000 377481104000 388050574912 395969974400 433092159500 440966562400 466406941000 485063218640 494962468000 524392668800 533036504000 551208203000 554357964160 574039312000 606329023300 629952232000 655490836000 678410096000 692947455200 746251105600 757911279125 776101149824 866184319000 881933124800 932813882000 970126437280 989924936000 1066073008000 1102416406000 1212658046600 1259904464000 1310981672000 1385894910400 1492502211200 1515822558250 1732368638000 1763866249600 1865627764000 1940252874560 1979849872000 2204832812000 2425316093200 2621963344000 2771789820800 3031645116500 3464737276000 3731255528000 3880505749120 4409665624000 4850632186400 6063290233000 6929474552000 7462511056000 8819331248000 9701264372800 12126580466000 13858949104000 19402528745600 24253160932000 48506321864000 97012643728000
- Sum of all divisors σ(n): 342578740608000
- Sum of proper divisors (its aliquot sum) s(n): 245566096880000
- 97012643728000 is an abundant number, because the sum of its proper divisors (245566096880000) is greater than itself. Its abundance is 148553453152000
Bases of 97012643728000
- Binary: 101100000111011100001000010101100001010100000002
- Hexadecimal: 0x583B842B0A80
- Base-36: YDYZRA7B4
Squares and roots of 97012643728000
- 97012643728000 squared (970126437280002) is 9411453043095857737984000000
- 97012643728000 cubed (970126437280003) is 913029941032659876887613764964352000000000
-
The
square root of 97012643728000 is 9849499.6689171983 -
The
cube root of 97012643728000 is 45949.0051978215
Scales and comparisons
How big is 97012643728000?- 97,012,643,728,000 seconds is equal to 3,084,701 years, 51 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 97,012,643,728,000 would take you about seven million, seven hundred eleven thousand, seven hundred fifty-four 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 97012643728000 cubic inches would be around 3829.1 feet tall.
Recreational maths with 97012643728000
- 97012643728000 backwards is 00082734621079
- 97012643728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 97012643728000's digits is 49
- More coming soon!
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The information we have on file for 97012643728000 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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