12001971668400
12,001,971,668,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 12001971668400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
12001971668400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 12001971668400:
24 × 33 × 52 × 7 × 313 × 732
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 31 × 73 × 73)See below for interesting mathematical facts about the number 12001971668400 from the Numbermatics database.
Names of 12001971668400
- Cardinal: 12001971668400 can be written as Twelve trillion, one billion, nine hundred seventy-one million, six hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.20019716684 × 1013
Factors of 12001971668400
Divisors of 12001971668400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 35 36 40 42 45 48 50 54 56 60 62 63 70 72 73 75 80 84 90 93 100 105 108 112 120 124 126 135 140 144 146 150 155 168 175 180 186 189 200 210 216 217 219 225 240 248 252 270 279 280 292 300 310 315 336 350 360 365 372 378 400 420 432 434 438 450 465 496 504 511 525 540 558 560 584 600 620 630 651 657 675 700 720 730 744 756 775 837 840 868 876 900 930 945 961 1008 1022 1050 1080 1085 1095 1116 1168 1200 1240 1260 1302 1314 1350 1395 1400 1460 1488 1512 1533 1550 1575 1674 1680 1736 1752 1800 1825 1860 1890 1922 1953 1971 2044 2100 2160 2170 2190 2232 2263 2325 2480 2520 2555 2604 2628 2700 2790 2800 2883 2920 3024 3066 3100 3150 3255 3285 3348 3472 3504 3600 3650 3720 3780 3844 3906 3942 4088 4185 4200 4340 4380 4464 4526 4599 4650 4725 4805 5040 5110 5208 5256 5329 5400 5425 5475 5580 5766 5840 5859 6132 6200 6300 6510 6570 6696 6727 6789 6975 7300 7440 7560 7665 7688 7812 7884 8176 8370 8400 8649 8680 8760 9052 9198 9300 9450 9610 9765 9855 10220 10416 10512 10658 10800 10850 10950 11160 11315 11532 11718 12264 12400 12600 12775 13020 13140 13392 13454 13578 13797 13950 14415 14600 15120 15330 15376 15624 15768 15841 15987 16275 16425 16740 17298 17360 17520 18104 18396 18600 18900 19220 19530 19710 20181 20367 20440 20925 21316 21700 21900 22320 22630 22995 23064 23436 24025 24528 25200 25550 25947 26040 26280 26645 26908 27156 27594 27900 28830 29200 29295 29791 30660 31248 31536 31682 31974 32550 32850 33480 33635 33945 34596 36208 36792 37200 37303 37800 38325 38440 39060 39420 40362 40734 40880 41850 42632 43245 43400 43800 45260 45990 46128 46872 47523 47961 48050 48825 49275 51100 51894 52080 52560 53290 53816 54312 55188 55800 56575 57660 58590 59582 60543 61101 61320 63364 63948 65100 65700 66960 67270 67890 68985 69192 70153 72075 73584 74606 75600 76650 76880 78120 78840 79205 79935 80724 81468 83700 85264 86490 86800 87600 89373 90520 91980 93744 95046 95922 96100 97650 98550 100905 101835 102200 103788 106580 107632 108624 110376 111600 111909 113150 114975 115320 117180 119164 121086 122202 122640 126728 127896 129735 130200 131400 133225 134540 135780 137970 138384 140306 142569 143883 144150 146475 148955 149212 153300 156240 157680 158410 159870 161448 162936 165199 167400 168175 169725 172980 178746 181040 181629 183960 186515 190092 191844 192200 195300 197100 201810 203670 204400 207576 208537 210459 213160 216225 220752 223818 226300 229950 230640 234360 237615 238328 239805 242172 244404 253456 255792 259470 260400 262800 266450 268119 269080 271560 275940 280612 285138 287766 288300 292950 297910 298424 302715 305505 306600 316820 319740 322896 325872 330398 334800 335727 336350 339450 344925 345960 350765 357492 363258 367920 373030 380184 383688 384400 390600 394200 396025 399675 403620 407340 415152 417074 420918 426320 427707 432450 446865 447636 452600 459900 468720 475230 476656 479610 484344 488808 491071 495597 504525 509175 518940 532900 536238 538160 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9679009410 10001643057 10275660675 10754454900 10960704720 11061725040 11112936730 11430449208 11743612200 11906717925 12489044400 12700499120 12905345880 13335524076 13700880900 13827156300 14288061510 14339273200 15486415056 15875623900 16131682350 16441057080 16669405095 17145673812 17780698768 18267841200 18436208400 19050748680 19358018820 20003286114 20551321350 21432092265 21508909800 22225873460 22860898416 23487224400 23813435850 24197523525 25810691760 26671048152 27401761800 27654312600 27782341825 28576123020 30004929171 31751247800 32263364700 32882114160 33338810190 34291347624 35720153775 38101497360 38716037640 40006572228 41102642700 42864184530 43017819600 44451746920 47626871700 48395047050 50008215285 53342096304 54803523600 55308625200 55564683650 57152246040 60009858342 63502495600 64526729400 66677620380 68582695248 71440307550 77432075280 80013144456 82205285400 83347025475 85728369060 88903493840 95253743400 96790094100 100016430570 107160461325 111129367300 114304492080 120019716684 129053458800 133355240760 142880615100 150024645855 160026288912 164410570800 166694050950 171456738120 190507486800 193580188200 200032861140 214320922650 222258734600 240039433368 250041076425 266710481520 285761230200 300049291710 333388101900 342913476240 387160376400 400065722280 428641845300 444517469200 480078866736 500082152850 571522460400 600098583420 666776203800 750123229275 800131444560 857283690600 1000164305700 1200197166840 1333552407600 1500246458550 1714567381200 2000328611400 2400394333680 3000492917100 4000657222800 6000985834200 12001971668400
- Sum of all divisors σ(n): 51148556759040
- Sum of proper divisors (its aliquot sum) s(n): 39146585090640
- 12001971668400 is an abundant number, because the sum of its proper divisors (39146585090640) is greater than itself. Its abundance is 27144613422240
Bases of 12001971668400
- Binary: 101011101010011011010100001000000101101100002
- Hexadecimal: 0xAEA6D4205B0
- Base-36: 495MO1SC0
Squares and roots of 12001971668400
- 12001971668400 squared (120019716684002) is 144047323929076279558560000
- 12001971668400 cubed (120019716684003) is 1728851900705610878244315178701504000000
-
The
square root of 12001971668400 is 3464386.1892693199 -
The
cube root of 12001971668400 is 22895.5386695655
Scales and comparisons
How big is 12001971668400?- 12,001,971,668,400 seconds is equal to 381,625 years, 29 weeks, 6 days, 3 hours.
-
To count from 1 to 12,001,971,668,400 would take you about nine hundred fifty-four thousand and sixty-three 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 12001971668400 cubic inches would be around 1908 feet tall.
Recreational maths with 12001971668400
- 12001971668400 backwards is 00486617910021
- 12001971668400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12001971668400's digits is 45
- More coming soon!
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"Number 12001971668400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 12001971668400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/12001971668400/
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The information we have on file for 12001971668400 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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