10348142238720
10,348,142,238,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10348142238720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
10348142238720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 10348142238720:
210 × 33 × 5 × 11 × 132 × 67 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 67 × 601)See below for interesting mathematical facts about the number 10348142238720 from the Numbermatics database.
Names of 10348142238720
- Cardinal: 10348142238720 can be written as Ten trillion, three hundred forty-eight billion, one hundred forty-two million, two hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.034814223872 × 1013
Factors of 10348142238720
Divisors of 10348142238720
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 67 72 78 80 88 90 96 99 104 108 110 117 120 128 130 132 134 135 143 144 156 160 165 169 176 180 192 195 198 201 208 216 220 234 240 256 260 264 268 270 286 288 297 312 320 330 335 338 351 352 360 384 390 396 402 416 429 432 440 468 480 495 507 512 520 528 536 540 572 576 585 594 601 603 624 640 660 670 676 702 704 715 720 737 768 780 792 804 832 845 858 864 871 880 936 960 990 1005 1014 1024 1040 1056 1072 1080 1144 1152 1170 1188 1202 1206 1248 1280 1287 1320 1340 1352 1404 1408 1430 1440 1474 1485 1521 1536 1560 1584 1608 1664 1690 1716 1728 1742 1755 1760 1803 1809 1859 1872 1920 1980 2010 2028 2080 2112 2144 2145 2160 2211 2288 2304 2340 2376 2404 2412 2496 2535 2560 2574 2613 2640 2680 2704 2808 2816 2860 2880 2948 2970 3005 3015 3042 3072 3120 3168 3216 3328 3380 3432 3456 3484 3510 3520 3606 3618 3685 3718 3744 3840 3861 3960 4020 4056 4160 4224 4288 4290 4320 4355 4422 4563 4576 4608 4680 4752 4808 4824 4992 5070 5120 5148 5226 5280 5360 5408 5409 5577 5616 5632 5720 5760 5896 5940 6010 6030 6084 6240 6336 6432 6435 6611 6633 6656 6760 6864 6912 6968 7020 7040 7212 7236 7370 7436 7488 7605 7680 7722 7813 7839 7920 8040 8112 8320 8448 8576 8580 8640 8710 8844 9015 9045 9126 9152 9216 9295 9360 9504 9581 9616 9648 9984 10140 10296 10452 10560 10720 10816 10818 11055 11154 11232 11264 11323 11440 11520 11792 11880 12020 12060 12168 12480 12672 12864 12870 13065 13222 13266 13312 13520 13728 13824 13936 14040 14080 14424 14472 14740 14872 14976 15210 15360 15444 15626 15678 15840 16080 16224 16227 16640 16731 16896 17152 17160 17280 17420 17688 18030 18090 18252 18304 18590 18720 19008 19162 19232 19296 19305 19833 19899 19968 20280 20592 20904 21120 21440 21632 21636 22110 22308 22464 22646 22815 22880 23040 23439 23517 23584 23760 24040 24120 24336 24960 25344 25728 25740 26130 26444 26532 27040 27045 27456 27648 27872 27885 28080 28160 28743 28848 28944 29480 29744 29952 30420 30888 31252 31356 31680 32160 32448 32454 33055 33165 33280 33462 33792 33969 34304 34320 34560 34840 35376 36060 36180 36504 36608 37180 37440 38016 38324 38464 38592 38610 39065 39195 39666 39798 39936 40267 40560 41184 41808 42240 42880 43264 43272 44220 44616 44928 45292 45630 45760 46080 46878 47034 47168 47520 47905 48080 48240 48672 49920 50193 50688 51456 51480 52260 52888 53064 54080 54090 54912 55744 55770 56160 56320 56615 57486 57696 57888 58960 59488 59499 59904 60840 61776 62504 62712 63360 64320 64896 64908 66110 66330 66560 66924 67938 68608 68640 69120 69680 70317 70752 72120 72360 73008 73216 74360 74880 76032 76648 76928 77184 77220 78130 78390 79332 79596 80534 81120 81135 82368 83616 83655 84480 85760 85943 86229 86528 86544 88440 89232 89856 90584 91260 91520 93756 94068 94336 95040 95810 96160 96480 97344 99165 99495 99840 100386 101376 101569 101907 102912 102960 104520 105776 106128 108160 108180 109824 111488 111540 112320 113230 114972 115392 115776 117195 117585 117920 118976 118998 119808 120801 121680 123552 124553 125008 125424 126720 128640 129792 129816 132220 132660 133848 135876 137280 138240 139360 140634 141504 143715 144240 144720 146016 146432 148720 149760 152064 153296 153856 154368 154440 156260 156780 158664 159192 161068 162240 162270 164736 167232 167310 168960 169845 171520 171886 172458 173056 173088 176880 178464 178497 179712 181168 182520 183040 187512 188136 188672 190080 191620 192320 192960 194688 198330 198990 199680 200772 201335 203138 203814 205824 205920 209040 210951 211552 212256 216320 216360 219648 222976 223080 224640 226460 229944 230784 231552 234390 235170 235840 237952 237996 241602 243360 247104 249106 250016 250848 250965 253440 257280 257829 258687 259584 259632 264440 265320 267696 271752 274560 278720 281268 283008 287430 288480 289440 292032 297440 297495 299520 304128 304707 305721 306592 307712 308736 308880 312520 313560 317328 318384 322136 324480 324540 329472 334464 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39800547072 40422430620 43117259328 44222830080 47037010176 47908065920 49750683840 51483294720 52263344640 53067396096 53896574160 57489679104 58796262720 61231610880 62716013568 64675888992 66334245120 71862098880 72364631040 76652905472 77224942080 78395016960 79601094144 80844861240 86234518656 88445660160 94074020352 95816131840 99501367680 104526689280 107793148320 114979358208 117592525440 129351777984 132668490240 143724197760 154449884160 156790033920 159202188288 161689722480 172469037312 188148040704 191632263680 199002735360 215586296640 229958716416 235185050880 258703555968 265336980480 287448395520 313580067840 323379444960 344938074624 383264527360 398005470720 431172593280 470370101760 517407111936 574896791040 646758889920 689876149248 796010941440 862345186560 940740203520 1034814223872 1149793582080 1293517779840 1724690373120 2069628447744 2587035559680 3449380746240 5174071119360 10348142238720
- Sum of all divisors σ(n): 44163839623680
- Sum of proper divisors (its aliquot sum) s(n): 33815697384960
- 10348142238720 is an abundant number, because the sum of its proper divisors (33815697384960) is greater than itself. Its abundance is 23467555146240
Bases of 10348142238720
- Binary: 100101101001010111010101011110011100000000002
- Hexadecimal: 0x9695D579C00
- Base-36: 3O1VCPHC0
Squares and roots of 10348142238720
- 10348142238720 squared (103481422387202) is 107084047792780973467238400
- 10348142238720 cubed (103481422387203) is 1108120958057587977429889297151950848000
-
The
square root of 10348142238720 is 3216852.8469173097 -
The
cube root of 10348142238720 is 21791.5169409117
Scales and comparisons
How big is 10348142238720?- 10,348,142,238,720 seconds is equal to 329,038 years, 47 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 10,348,142,238,720 would take you about eight hundred twenty-two thousand, five hundred ninety-seven 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 10348142238720 cubic inches would be around 1816 feet tall.
Recreational maths with 10348142238720
- 10348142238720 backwards is 02783224184301
- 10348142238720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10348142238720's digits is 45
- More coming soon!
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MLA style:
"Number 10348142238720 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 10348142238720 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/10348142238720/
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Numbermatics. 2024. "Number 10348142238720 - Facts about the integer". https://numbermatics.com/n/10348142238720/
The information we have on file for 10348142238720 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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