72157062978000
72,157,062,978,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72157062978000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4480 divisors.
72157062978000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 72157062978000:
24 × 36 × 53 × 73 × 11 × 13 × 1009
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 1009)See below for interesting mathematical facts about the number 72157062978000 from the Numbermatics database.
Names of 72157062978000
- Cardinal: 72157062978000 can be written as Seventy-two trillion, one hundred fifty-seven billion, sixty-two million, nine hundred seventy-eight thousand.
Scientific notation
- Scientific notation: 7.2157062978 × 1013
Factors of 72157062978000
Divisors of 72157062978000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 33 35 36 39 40 42 44 45 48 49 50 52 54 55 56 60 63 65 66 70 72 75 77 78 80 81 84 88 90 91 98 99 100 104 105 108 110 112 117 120 125 126 130 132 135 140 143 144 147 150 154 156 162 165 168 175 176 180 182 189 195 196 198 200 208 210 216 220 225 231 234 240 243 245 250 252 260 264 270 273 275 280 286 294 297 300 308 312 315 324 325 330 336 343 350 351 360 364 375 378 385 390 392 396 400 405 420 429 432 440 441 450 455 462 468 486 490 495 500 504 520 525 528 539 540 546 550 560 567 572 585 588 594 600 616 624 630 637 648 650 660 675 686 693 700 702 715 720 728 729 735 750 756 770 780 784 792 810 819 825 840 858 875 880 882 891 900 910 924 936 945 972 975 980 990 1000 1001 1008 1009 1029 1040 1050 1053 1078 1080 1092 1100 1125 1134 1144 1155 1170 1176 1188 1200 1215 1225 1232 1260 1274 1287 1296 1300 1320 1323 1350 1365 1372 1375 1386 1400 1404 1430 1456 1458 1470 1485 1500 1512 1540 1560 1575 1584 1617 1620 1625 1638 1650 1680 1701 1715 1716 1750 1755 1764 1782 1800 1820 1848 1872 1890 1911 1925 1944 1950 1960 1980 2000 2002 2018 2025 2058 2079 2100 2106 2145 2156 2160 2184 2200 2205 2250 2268 2275 2288 2310 2340 2352 2376 2430 2450 2457 2475 2520 2548 2574 2600 2625 2640 2646 2673 2695 2700 2730 2744 2750 2772 2800 2808 2835 2860 2916 2925 2940 2970 3000 3003 3024 3027 3080 3087 3120 3150 3159 3185 3234 3240 3250 3276 3300 3375 3402 3430 3432 3465 3500 3510 3528 3564 3575 3600 3640 3645 3675 3696 3773 3780 3822 3850 3861 3888 3900 3920 3960 3969 4004 4036 4050 4095 4116 4125 4158 4200 4212 4290 4312 4368 4400 4410 4455 4459 4500 4536 4550 4620 4680 4725 4752 4851 4860 4875 4900 4914 4950 5005 5040 5045 5096 5103 5145 5148 5200 5250 5265 5292 5346 5390 5400 5460 5488 5500 5544 5616 5670 5720 5733 5775 5832 5850 5880 5940 6000 6006 6054 6075 6125 6160 6174 6237 6300 6318 6370 6435 6468 6480 6500 6552 6600 6615 6750 6804 6825 6860 6864 6930 7000 7007 7020 7056 7063 7128 7150 7280 7290 7350 7371 7425 7546 7560 7644 7700 7722 7800 7875 7920 7938 8008 8019 8072 8085 8100 8190 8232 8250 8316 8400 8424 8505 8575 8580 8624 8775 8820 8910 8918 9000 9009 9072 9081 9100 9240 9261 9360 9450 9477 9555 9625 9702 9720 9750 9800 9828 9900 10010 10090 10125 10192 10206 10290 10296 10395 10500 10530 10584 10692 10725 10780 10800 10920 11000 11025 11088 11099 11319 11340 11375 11440 11466 11550 11583 11664 11700 11760 11880 11907 12012 12108 12150 12250 12285 12348 12375 12474 12600 12636 12740 12870 12936 13000 13104 13117 13200 13230 13365 13377 13475 13500 13608 13650 13720 13860 14000 14014 14040 14126 14175 14256 14300 14553 14580 14625 14700 14742 14850 15015 15092 15120 15135 15288 15400 15435 15444 15600 15750 15795 15876 15925 16016 16038 16144 16170 16200 16380 16464 16500 16632 16848 17010 17150 17160 17199 17325 17550 17640 17820 17836 17875 18000 18018 18162 18200 18225 18375 18480 18522 18711 18865 18900 18954 19110 19250 19305 19404 19440 19500 19600 19656 19800 19845 20020 20180 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29367954000 29451862440 29694264600 30369134250 30679023375 30836351700 31236823800 31537177875 31717390320 31815283500 32069805768 32724291600 32798664990 33038948250 33406047675 33468025500 33639656400 34262613000 34360506180 34707582000 35061741000 35633117520 35756721000 36042489000 36078531489 36442961100 36814828050 37003622040 37117830750 37484188560 37758798000 38178340200 38545439625 39046029750 39646737900 40087257210 40492179000 40905364500 41115135600 41232607416 42049570500 42074089200 42420378000 42950632725 43731553320 44051931000 44404346448 44541396900 44624034000 45553701375 45814008240 46254527550 46855235700 47722925250 48104708652 48590614800 49086437400 49490441000 49558422375 50459484600 51393919500 51540759270 52061373000 52477863984 52592611500 52862317200 53449676280 54540486000 54664441650 55505433060 55676746125 56066094000 56638197000 57267510300 58569044625 58903724880 59388529200 60130885815 60738268500 61358046750 61672703400 62473647600 63074355750 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167030238375 168198282000 171802530900 178165587600 180392657445 182214805500 184074140250 185018110200 187420942800 190891701000 192418834608 198233689500 200436286050 205575678000 206163037080 210370446000 214753163625 218657766600 222021732240 222706984500 229070041200 231272637750 234276178500 240523543260 242953074000 245432187000 252297423000 257703796350 262389319920 264311586000 267248381400 273322208250 277527165300 286337551500 288628251912 294518624400 296942646000 300654429075 308363517000 312368238000 320698057680 327986649900 334060476750 343605061800 346908956625 360785314890 364429611000 368148280500 370036220400 381783402000 396467379000 400872572100 409983312375 412326074160 429506327250 437315533200 445413969000 462545275500 468552357000 481047086520 490864374000 501090715125 504594846000 515407592700 534496762800 546644416500 555054330600 572675103000 577256503824 601308858150 616727034000 644259490875 655973299800 668120953500 687210123600 693817913250 721570629780 728859222000 736296561000 792934758000 801745144200 819966624750 859012654500 890827938000 901963287225 925090551000 937104714000 962094173040 1002181430250 1030815185400 1093288833000 1110108661200 1145350206000 1202617716300 1288518981750 1311946599600 1336241907000 1387635826500 1443141259560 1472593122000 1503272145375 1603490288400 1639933249500 1718025309000 1803926574450 1850181102000 2004362860500 2061630370800 2186577666000 2405235432600 2577037963500 2672483814000 2775271653000 2886282519120 3006544290750 3279866499000 3436050618000 3607853148900 4008725721000 4509816436125 4810470865200 5154075927000 5550543306000 6013088581500 6559732998000 7215706297800 8017451442000 9019632872250 10308151854000 12026177163000 14431412595600 18039265744500 24052354326000 36078531489000 72157062978000
- Sum of all divisors σ(n): 358754288256000
- Sum of proper divisors (its aliquot sum) s(n): 286597225278000
- 72157062978000 is an abundant number, because the sum of its proper divisors (286597225278000) is greater than itself. Its abundance is 214440162300000
Bases of 72157062978000
- Binary: 100000110100000011000000001101101011001110100002
- Hexadecimal: 0x41A0601B59D0
- Base-36: PKSHW9900
Squares and roots of 72157062978000
- 72157062978000 squared (721570629780002) is 5206641737611058228484000000
- 72157062978000 cubed (721570629780003) is 375695975764684479861945101465352000000000
-
The
square root of 72157062978000 is 8494531.3571732725 -
The
cube root of 72157062978000 is 41631.9048764495
Scales and comparisons
How big is 72157062978000?- 72,157,062,978,000 seconds is equal to 2,294,371 years, 21 weeks, 21 hours.
-
To count from 1 to 72,157,062,978,000 would take you about five million, seven hundred thirty-five thousand, nine hundred twenty-eight 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 72157062978000 cubic inches would be around 3469.3 feet tall.
Recreational maths with 72157062978000
- 72157062978000 backwards is 00087926075127
- 72157062978000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72157062978000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 72157062978000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 72157062978000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/72157062978000/
Chicago style:
Numbermatics. 2024. "Number 72157062978000 - Facts about the integer". https://numbermatics.com/n/72157062978000/
The information we have on file for 72157062978000 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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