72231438312000
72,231,438,312,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 72231438312000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4480 divisors.
72231438312000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 72231438312000:
26 × 34 × 53 × 11 × 17 × 19 × 137 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 19 × 137 × 229)See below for interesting mathematical facts about the number 72231438312000 from the Numbermatics database.
Names of 72231438312000
- Cardinal: 72231438312000 can be written as Seventy-two trillion, two hundred thirty-one billion, four hundred thirty-eight million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 7.2231438312 × 1013
Factors of 72231438312000
Divisors of 72231438312000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 25 27 30 32 33 34 36 38 40 44 45 48 50 51 54 55 57 60 64 66 68 72 75 76 80 81 85 88 90 95 96 99 100 102 108 110 114 120 125 132 135 136 137 144 150 152 153 160 162 165 170 171 176 180 187 190 192 198 200 204 209 216 220 225 228 229 240 250 255 264 270 272 274 275 285 288 297 300 304 306 320 323 324 330 340 342 352 360 374 375 380 396 400 405 408 411 418 425 432 440 450 456 458 459 475 480 495 500 510 513 528 540 544 548 550 561 570 576 594 600 608 612 627 646 648 660 675 680 684 685 687 704 720 748 750 760 765 792 800 810 816 822 825 836 850 855 864 880 891 900 912 916 918 935 950 960 969 990 1000 1020 1026 1045 1056 1080 1088 1096 1100 1122 1125 1140 1145 1188 1200 1216 1224 1233 1254 1275 1292 1296 1320 1350 1360 1368 1370 1374 1375 1377 1425 1440 1485 1496 1500 1507 1520 1530 1539 1584 1600 1615 1620 1632 1644 1650 1672 1683 1700 1710 1728 1760 1782 1800 1824 1832 1836 1870 1881 1900 1938 1980 2000 2025 2040 2052 2055 2061 2090 2112 2125 2160 2192 2200 2244 2250 2280 2290 2295 2329 2375 2376 2400 2448 2466 2475 2508 2519 2550 2565 2584 2592 2603 2640 2700 2720 2736 2740 2748 2750 2754 2805 2850 2880 2907 2970 2992 3000 3014 3040 3060 3078 3135 3168 3230 3240 3264 3288 3300 3344 3366 3375 3400 3420 3425 3435 3520 3553 3564 3600 3648 3664 3672 3699 3740 3762 3800 3825 3876 3893 3960 4000 4050 4080 4104 4110 4122 4125 4180 4250 4275 4320 4351 4384 4400 4455 4488 4500 4521 4560 4580 4590 4658 4675 4750 4752 4800 4845 4896 4932 4950 5016 5038 5049 5100 5130 5168 5184 5206 5225 5280 5400 5440 5472 5480 5496 5500 5508 5610 5643 5700 5725 5814 5940 5984 6000 6028 6080 6120 6156 6165 6183 6270 6336 6375 6460 6480 6576 6600 6688 6732 6750 6800 6840 6850 6870 6885 6987 7106 7125 7128 7200 7328 7344 7398 7425 7480 7524 7535 7557 7600 7650 7695 7752 7786 7809 7920 8000 8075 8100 8160 8208 8220 8244 8250 8360 8415 8500 8550 8640 8702 8721 8768 8800 8910 8976 9000 9042 9120 9160 9180 9316 9350 9405 9500 9504 9690 9792 9864 9900 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577851506496 601928652600 633609108000 656649439200 668809614000 708151356000 722314383120 729610488000 752410815750 760330929600 802571536800 820811799000 849781627200 891746152000 902892978900 950413662000 963085844160 1003214421000 1062227034000 1094415732000 1128616223625 1203857305200 1267218216000 1313298878400 1337619228000 1416302712000 1444628766240 1504821631500 1605143073600 1641623598000 1805785957800 1900827324000 2006428842000 2124454068000 2188831464000 2257232447250 2407714610400 2675238456000 2889257532480 3009643263000 3283247196000 3611571915600 3801654648000 4012857684000 4248908136000 4514464894500 4815429220800 6019286526000 6566494392000 7223143831200 8025715368000 9028929789000 12038573052000 14446287662400 18057859578000 24077146104000 36115719156000 72231438312000
- Sum of all divisors σ(n): 328703523033600
- Sum of proper divisors (its aliquot sum) s(n): 256472084721600
- 72231438312000 is an abundant number, because the sum of its proper divisors (256472084721600) is greater than itself. Its abundance is 184240646409600
Bases of 72231438312000
- Binary: 100000110110001101100010011100011100010010000002
- Hexadecimal: 0x41B1B138E240
- Base-36: PLQNXES00
Squares and roots of 72231438312000
- 72231438312000 squared (722314383120002) is 5217380680620261409344000000
- 72231438312000 cubed (722314383120003) is 376858910782442985886345316387328000000000
-
The
square root of 72231438312000 is 8498908.0658635203 -
The
cube root of 72231438312000 is 41646.2038859173
Scales and comparisons
How big is 72231438312000?- 72,231,438,312,000 seconds is equal to 2,296,736 years, 16 weeks, 1 day, 12 hours.
-
To count from 1 to 72,231,438,312,000 would take you about five million, seven hundred forty-one thousand, eight hundred forty 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 72231438312000 cubic inches would be around 3470.5 feet tall.
Recreational maths with 72231438312000
- 72231438312000 backwards is 00021383413227
- 72231438312000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72231438312000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 72231438312000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 72231438312000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/72231438312000/
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Numbermatics. 2024. "Number 72231438312000 - Facts about the integer". https://numbermatics.com/n/72231438312000/
The information we have on file for 72231438312000 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!
Keywords: Divisors of 72231438312000, math, Factors of 72231438312000, curriculum, school, college, exams, university, Prime factorization of 72231438312000, STEM, science, technology, engineering, physics, economics, calculator, seventy-two trillion, two hundred thirty-one billion, four hundred thirty-eight million, three hundred twelve thousand.