42380701970400
42,380,701,970,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42380701970400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
42380701970400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 42380701970400:
25 × 32 × 52 × 194 × 312 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 19 × 19 × 19 × 31 × 31 × 47)See below for interesting mathematical facts about the number 42380701970400 from the Numbermatics database.
Names of 42380701970400
- Cardinal: 42380701970400 can be written as Forty-two trillion, three hundred eighty billion, seven hundred one million, nine hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.23807019704 × 1013
Factors of 42380701970400
Divisors of 42380701970400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 38 40 45 47 48 50 57 60 62 72 75 76 80 90 93 94 95 96 100 114 120 124 141 144 150 152 155 160 171 180 186 188 190 200 225 228 235 240 248 279 282 285 288 300 304 310 342 360 361 372 376 380 400 423 450 456 465 470 475 480 496 558 564 570 589 600 608 620 684 705 720 722 744 752 760 775 800 846 855 893 900 912 930 940 950 961 992 1083 1116 1128 1140 1175 1178 1200 1240 1368 1395 1410 1425 1440 1444 1457 1488 1504 1520 1550 1692 1710 1767 1786 1800 1805 1824 1860 1880 1900 1922 2115 2166 2232 2256 2280 2325 2350 2356 2400 2480 2679 2736 2790 2820 2850 2883 2888 2914 2945 2976 3040 3100 3249 3384 3420 3525 3534 3572 3600 3610 3720 3760 3800 3844 4230 4275 4332 4371 4464 4465 4512 4560 4650 4700 4712 4805 4960 5301 5358 5415 5472 5580 5640 5700 5766 5776 5828 5890 6200 6498 6768 6840 6859 6975 7050 7068 7144 7200 7220 7285 7440 7520 7600 7688 8037 8460 8550 8649 8664 8742 8835 8928 8930 9025 9120 9300 9400 9424 9610 10575 10602 10716 10830 11160 11191 11280 11400 11532 11552 11656 11780 12400 12996 13113 13395 13536 13680 13718 13950 14100 14136 14288 14415 14440 14570 14725 14880 15200 15376 16074 16245 16920 16967 17100 17298 17328 17484 17670 17860 18050 18259 18600 18800 18848 19220 20577 21150 21204 21432 21660 21855 22320 22325 22382 22560 22800 23064 23312 23560 24025 24800 25992 26226 26505 26790 27075 27360 27436 27683 27900 28200 28272 28576 28830 28880 29140 29450 30752 32148 32490 33573 33840 33934 34200 34295 34596 34656 34968 35340 35720 36100 36425 36518 37200 37600 38440 40185 41154 42300 42408 42864 43245 43320 43710 44175 44640 44650 44764 45167 45600 46128 46624 47120 48050 50901 51984 52452 53010 53580 54150 54777 54872 55366 55800 55955 56400 56544 57660 57760 58280 58900 61731 64296 64980 65565 66975 67146 67680 67868 68400 68590 69192 69936 70680 71440 72075 72200 72850 73036 74400 76880 80370 81225 82308 83049 84600 84816 84835 85728 86490 86640 87420 88350 89300 89528 90334 91295 92256 94240 96100 100719 101802 102885 103968 104904 106020 107160 108300 109275 109554 109744 110732 111600 111910 112800 115320 116560 117800 123462 128592 129960 130321 131130 132525 133950 134292 135501 135736 136800 137180 138384 138415 139872 141360 142880 144150 144400 145700 146072 152703 153760 160740 162450 164331 164616 166098 167865 169200 169632 169670 171475 172980 173280 174840 176700 178600 179056 180668 182590 192200 200925 201438 203604 205770 209808 212040 212629 214320 216225 216600 218550 219108 219488 221464 223200 223820 225835 230640 233120 235600 246924 249147 254505 257184 259920 260642 262260 265050 267900 268584 271002 271472 273885 274360 276768 276830 279775 282720 288300 288800 291400 292144 305406 308655 321480 322373 324900 327825 328662 329232 332196 335730 338400 339340 342950 345960 346921 349680 353400 357200 358112 361336 365180 384400 390963 401850 402876 406503 407208 411540 415245 419616 424080 424175 425258 428640 432450 433200 437100 438216 442928 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34177985460 35317251642 35976826800 36068682528 37176054360 37571544300 37975539400 39132688800 42722481825 44100626400 44611265232 45085853160 45570647280 46470067950 47089668856 47458792800 49568072480 50095392400 52975877463 54684776736 55764081540 56357316450 56963309100 58699033200 58862086070 60114470880 61960090600 68355970920 69705101925 70634503284 71953653600 74352108720 75143088600 75951078800 85444963650 88293129105 89222530464 90171706320 91141294560 92940135900 94179337712 100190784800 105951754926 111528163080 112714632900 113926618200 117398066400 117724172140 123920181200 136711941840 139410203850 141269006568 147155215175 148704217440 150286177200 151902157600 170889927300 176586258210 180343412640 185880271800 188358675424 211903509852 223056326160 225429265800 227853236400 235448344280 247840362400 264879387315 273423883680 278820407700 282538013136 294310430350 300572354400 341779854600 353172516420 371760543600 423807019704 441465645525 446112652320 450858531600 455706472800 470896688560 529758774630 557640815400 565076026272 588620860700 683559709200 706345032840 743521087200 847614039408 882931291050 901717063200 941793377120 1059517549260 1115281630800 1177241721400 1324396936575 1367119418400 1412690065680 1695228078816 1765862582100 2119035098520 2230563261600 2354483442800 2648793873150 2825380131360 3531725164200 4238070197040 4708966885600 5297587746300 7063450328400 8476140394080 10595175492600 14126900656800 21190350985200 42380701970400
- Sum of all divisors σ(n): 166468246819056
- Sum of proper divisors (its aliquot sum) s(n): 124087544848656
- 42380701970400 is an abundant number, because the sum of its proper divisors (124087544848656) is greater than itself. Its abundance is 81706842878256
Bases of 42380701970400
- Binary: 10011010001011100001101010111110101111111000002
- Hexadecimal: 0x268B86AFAFE0
- Base-36: F0TFBPRS0
Squares and roots of 42380701970400
- 42380701970400 squared (423807019704002) is 1796123899503866442476160000
- 42380701970400 cubed (423807019704003) is 76120991686786044121067832367025664000000
-
The
square root of 42380701970400 is 6510046.2341215367 -
The
cube root of 42380701970400 is 34864.9769122295
Scales and comparisons
How big is 42380701970400?- 42,380,701,970,400 seconds is equal to 1,347,575 years, 11 weeks, 6 days, 22 hours.
-
To count from 1 to 42,380,701,970,400 would take you about three million, three hundred sixty-eight thousand, nine hundred thirty-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 42380701970400 cubic inches would be around 2905.4 feet tall.
Recreational maths with 42380701970400
- 42380701970400 backwards is 00407910708324
- 42380701970400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42380701970400's digits is 45
- More coming soon!
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"Number 42380701970400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 42380701970400 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/42380701970400/
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The information we have on file for 42380701970400 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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