842423020048320
842,423,020,048,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 842423020048320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
842423020048320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 842423020048320:
26 × 3 × 5 × 172 × 97 × 193 × 241 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 17 × 97 × 193 × 241 × 673)See below for interesting mathematical facts about the number 842423020048320 from the Numbermatics database.
Names of 842423020048320
- Cardinal: 842423020048320 can be written as Eight hundred forty-two trillion, four hundred twenty-three billion, twenty million, forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.4242302004832 × 1014
Factors of 842423020048320
Divisors of 842423020048320
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 97 102 120 136 160 170 192 193 194 204 240 241 255 272 289 291 320 340 386 388 408 480 482 485 510 544 578 579 582 673 680 723 772 776 816 867 960 964 965 970 1020 1088 1156 1158 1164 1205 1346 1360 1445 1446 1455 1544 1552 1632 1649 1734 1928 1930 1940 2019 2040 2312 2316 2328 2410 2692 2720 2890 2892 2895 2910 3088 3104 3264 3281 3298 3365 3468 3615 3856 3860 3880 4038 4080 4097 4335 4624 4632 4656 4820 4947 5384 5440 5780 5784 5790 5820 6176 6208 6562 6596 6730 6936 7230 7712 7720 7760 8076 8160 8194 8245 8670 9248 9264 9312 9640 9843 9894 10095 10768 11441 11560 11568 11580 11640 12291 12352 13124 13192 13460 13872 14460 15424 15440 15520 16152 16320 16388 16405 16490 17340 18496 18528 18624 18721 19280 19686 19788 20190 20485 21536 22882 23120 23136 23160 23280 23377 24582 24735 26248 26384 26920 27744 28033 28920 30880 31040 32304 32776 32810 32980 34323 34680 37056 37442 38560 39372 39576 40380 40970 43072 45764 46240 46272 46320 46513 46560 46754 49164 49215 49470 52496 52768 53840 55488 55777 56066 56163 57205 57840 61455 61760 64608 65281 65552 65620 65960 68646 69360 69649 70131 74884 77120 78744 79152 80760 81940 84099 91528 92480 92640 93026 93120 93508 93605 98328 98430 98940 104992 105536 107680 111554 112132 112326 114410 115680 116885 122910 129216 129889 130562 131104 131240 131920 137292 138720 139298 139539 140165 140262 149768 157488 158304 161520 162193 163880 167331 168198 171615 183056 185280 186052 187016 187210 194497 195843 196656 196860 197880 208947 209984 215360 223108 224264 224652 228820 231360 232565 233770 245820 259778 261124 262208 262480 263840 274584 277440 278596 278885 279078 280330 280524 280815 299536 314976 316608 318257 323040 324386 326405 327760 334662 336396 343230 348245 350655 366112 372104 374032 374420 388994 389667 391686 393312 393720 395760 397409 417894 420495 446216 448528 449304 457640 465130 467540 486579 491640 519556 522248 524960 527680 549168 557192 557770 558156 560660 561048 561630 583491 599072 629952 636514 646080 648772 649445 652810 655520 669324 672792 686460 696490 697695 701310 732224 744208 748064 748840 777988 779334 783372 786624 787440 790721 791520 794818 810965 835788 836655 840990 892432 897056 898608 915280 930260 935080 954771 972485 973158 979215 983280 1039112 1044496 1044735 1049920 1098336 1109777 1114384 1115540 1116312 1121320 1122096 1123260 1166982 1192227 1198144 1273028 1297544 1298890 1305620 1311040 1338648 1345584 1372920 1392980 1395390 1402620 1488416 1496128 1497680 1555976 1558668 1566744 1574880 1581442 1583040 1589636 1591285 1621930 1671576 1673310 1681980 1784864 1794112 1797216 1830560 1860520 1870160 1909542 1944970 1946316 1948335 1958430 1966560 1987045 2078224 2088992 2089470 2196672 2208113 2219554 2228768 2231080 2232624 2242640 2244192 2246520 2333964 2372163 2384454 2432895 2546056 2595088 2597780 2611240 2677296 2691168 2745840 2757281 2785960 2790780 2805240 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2580913344 2596977120 2607797858 2646989760 2660776165 2674562570 2812426620 2999921728 3003033680 3005111904 3018593440 3020682432 3023815920 3036415153 3067997480 3192931398 3209475084 3212804415 3226141680 3242857440 3426991376 3603640416 3622312128 3641178337 3681596976 3749902160 3756389880 3775853040 3911696787 4011843855 4031754560 4257241864 4279300112 4283739220 4301522240 4331290560 4499882592 4504550520 4527890160 4546756369 4601996220 4908795968 5008519840 5034470720 5140487064 5193954240 5215595716 5321552330 5349125140 5624853240 6006067360 6010223808 6037186880 6047631840 6072830306 6135994960 6385862796 6418950168 6425608830 6452283360 6485714880 6519494645 6853982752 7207280832 7282356674 7363193952 7499804320 7512779760 7551706080 7823393574 7982328495 8023687710 8514483728 8558600224 8567478440 8999765184 9009101040 9046638961 9055780320 9093512738 9109245459 9203992440 10017039680 10280974128 10431191432 10643104660 10698250280 10923535011 11249706480 12012134720 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68201345535 68539827520 72373111688 72748101904 72823566740 72873963672 73631939520 78233935740 83449531456 85144837280 85586002240 87388280088 90466389610 90935127380 91092454590 97165284896 102173804736 102809741280 103238115202 104311914320 108559667532 109122152856 109235350110 116517706784 121456606120 125174297184 127717255920 128379003360 135699584415 136402691070 144746223376 145496203808 145647133480 145747927344 154857172803 156467871480 170289674560 174776560176 180932779220 181870254760 182184909180 194330569792 205619482560 206476230404 208623828640 217119335064 218244305712 218470700220 233035413568 242913212240 250348594368 255434511840 256758006720 258095288005 271399168830 272805382140 289492446752 290992407616 291294266960 291495854688 309714345606 312935742960 349553120352 361865558440 363740509520 364369818360 412952460808 417247657280 434238670128 436488611424 436941400440 485826424480 510869023680 516190576010 542798337660 545610764280 578984893504 582588533920 582991709376 619428691212 625871485920 699106240704 723731116880 727481019040 728739636720 774285864015 825904921616 868477340256 872977222848 873882800880 877523979217 971652848960 1032381152020 1085596675320 1091221528560 1165177067840 1238857382424 1251742971840 1447462233760 1454962038080 1457479273440 1548571728030 1651809843232 1736954680512 1747765601760 1755047958434 2064762304040 2171193350640 2182443057120 2477714764848 2632571937651 2894924467520 2914958546880 3097143456060 3303619686464 3495531203520 3510095916868 4129524608080 4342386701280 4364886114240 4387619896085 4955429529696 5265143875302 6194286912120 7020191833736 8259049216160 8684773402560 8775239792170 9910859059392 10530287750604 12388573824240 13162859688255 14040383667472 16518098432320 17550479584340 21060575501208 24777147648480 26325719376510 28080767334944 35100959168680 42121151002416 49554295296960 52651438753020 56161534669888 70201918337360 84242302004832 105302877506040 140403836674720 168484604009664 210605755012080 280807673349440 421211510024160 842423020048320
- Sum of all divisors σ(n): 2901726034601856
- Sum of proper divisors (its aliquot sum) s(n): 2059303014553536
- 842423020048320 is an abundant number, because the sum of its proper divisors (2059303014553536) is greater than itself. Its abundance is 1216879994505216
Bases of 842423020048320
- Binary: 101111111000101101111001001101110001001111110000002
- Hexadecimal: 0x2FE2DE4DC4FC0
- Base-36: 8AM3SJF2YO
Squares and roots of 842423020048320
- 842423020048320 squared (8424230200483202) is 709676544707332160655134822400
- 842423020048320 cubed (8424230200483203) is 597847858049807345562482145596227762618368000
-
The
square root of 842423020048320 is 29024524.4586077585 -
The
cube root of 842423020048320 is 94444.5152692139
Scales and comparisons
How big is 842423020048320?- 842,423,020,048,320 seconds is equal to 26,786,446 years, 13 weeks, 17 hours, 52 minutes.
-
To count from 1 to 842,423,020,048,320 would take you about sixty-six million, nine hundred sixty-six thousand, one 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 842423020048320 cubic inches would be around 7870.4 feet tall.
Recreational maths with 842423020048320
- 842423020048320 backwards is 023840020324248
- The number of decimal digits it has is: 15
- The sum of 842423020048320's digits is 42
- More coming soon!
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"Number 842423020048320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 842423020048320 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/842423020048320/
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The information we have on file for 842423020048320 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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