42268588135287800
42,268,588,135,287,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42268588135287800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
42268588135287800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42268588135287800:
23 × 52 × 112 × 132 × 192 × 315
(2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 13 × 19 × 19 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 42268588135287800 from the Numbermatics database.
Names of 42268588135287800
- Cardinal: 42268588135287800 can be written as Forty-two quadrillion, two hundred sixty-eight trillion, five hundred eighty-eight billion, one hundred thirty-five million, two hundred eighty-seven thousand, eight hundred.
Scientific notation
- Scientific notation: 4.22685881352878 × 1016
Factors of 42268588135287800
Divisors of 42268588135287800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 8 10 11 13 19 20 22 25 26 31 38 40 44 50 52 55 62 65 76 88 95 100 104 110 121 124 130 143 152 155 169 190 200 209 220 242 247 248 260 275 286 310 325 338 341 361 380 403 418 440 475 484 494 520 550 572 589 605 620 650 676 682 715 722 760 775 806 836 845 950 961 968 988 1045 1100 1144 1178 1210 1235 1240 1300 1352 1364 1430 1444 1550 1573 1612 1672 1690 1705 1805 1859 1900 1922 1976 2015 2090 2200 2299 2356 2420 2470 2600 2717 2728 2860 2888 2945 3025 3100 3146 3211 3224 3380 3410 3575 3610 3718 3751 3800 3844 3971 4030 4180 4225 4433 4598 4693 4712 4805 4840 4940 5225 5239 5434 5720 5890 6050 6175 6200 6292 6422 6479 6760 6820 7150 7220 7436 7502 7657 7688 7865 7942 8060 8360 8450 8525 8866 9025 9196 9295 9386 9610 9880 10075 10450 10478 10571 10868 11191 11495 11780 12100 12350 12493 12584 12844 12958 13585 13640 14300 14440 14725 14872 15004 15314 15730 15884 16055 16120 16900 17050 17732 18050 18259 18392 18590 18755 18772 19220 19855 20150 20449 20900 20956 21142 21736 22165 22382 22990 23465 23560 24025 24200 24700 24986 25688 25916 26195 27170 28600 29450 29791 29887 30008 30628 31460 31768 32110 32395 33800 34100 35321 35464 36100 36518 37180 37510 37544 38285 38440 39325 39710 40300 40898 41800 41912 42284 43681 44330 44764 45980 46475 46930 48050 48763 49400 49972 51623 51832 52390 52855 54340 55955 57475 57629 58900 59582 59774 61009 61256 62465 62920 64220 64790 67925 68200 70642 71269 72200 73036 74360 75020 76570 78650 79420 80275 80600 81796 84227 84568 87362 88660 89528 91295 91960 92950 93775 93860 96100 97526 99275 99541 99944 102245 103246 104780 105710 108680 110825 111910 114950 115258 116281 117325 117800 119164 119548 122018 123101 124930 128440 129580 130975 135850 137423 141284 142538 145483 146072 148955 149435 150040 153140 157300 158840 160550 161975 162409 163592 168454 174724 176605 177320 182590 185900 187550 187720 191425 192200 195052 198550 199082 200849 204490 206492 209560 211420 218405 221650 223820 229900 230516 232562 234650 237367 238328 239096 243815 244036 246202 249860 258115 259160 261950 264275 271700 274846 279775 282568 285076 288145 290966 297910 298870 305045 306280 312325 314600 321100 323950 324818 327701 336908 346921 349448 353210 356345 365180 371800 375100 382850 387283 388531 390104 397100 398164 401698 408980 412984 421135 422840 436810 443300 447640 456475 459800 461032 465124 469300 474734 487630 488072 492404 497705 499720 511225 516230 523900 528550 543400 549692 559550 566029 567853 570152 576290 581405 581932 595820 597740 610090 615505 624650 633919 642200 647900 649636 655402 671099 673816 687115 693842 706420 712690 727415 730360 744775 747175 750200 765700 774566 777062 794200 796328 803396 812045 817960 842270 873620 883025 886600 912950 923521 926497 930248 938600 949468 975260 984808 995410 1004245 1022450 1032460 1047800 1057100 1092025 1094951 1099384 1119100 1132058 1135706 1152580 1162810 1163864 1186835 1191640 1195480 1219075 1220180 1231010 1249300 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8089681939768 8556394359370 8733179366795 8796792535960 8970413441275 9006730904600 9192820386100 9534984916600 10004399558648 10112102424710 10488483408260 10644318341800 10995990669950 11123312667181 11268618537800 11368635862100 11708750175980 11823381296584 12395480391580 12505499448310 13110604260325 13163683629800 13435660564300 13635028430738 13973086986872 14352661506040 14635937719975 14779226620730 15494350489475 15557080653400 16257149282803 17112788718740 17466358733590 17940826882550 18385640772200 19212994606949 20224204849420 20976966816520 21390985898425 21991981339900 22246625334362 22737271724200 23417500351960 24790960783160 25010998896620 25280256061775 26221208520650 26871321128600 27270056861476 29271875439950 29558453241460 30988700978950 31263748620775 32514298565606 34087571076845 34225577437480 34932717467180 35881653765100 36948066551825 38425989213898 40448409698840 42781971796850 43665896833975 43983962679800 44493250668724 50021997793240 50560512123550 52442417041300 54540113722952 55616563335905 58543750879900 59116906482920 61977401957900 62527497241550 65028597131212 68175142153690 69865434934360 71763307530200 73896133103650 76851978427796 81285746414015 85563943593700 87331793667950 88986501337448 96064973034745 101121024247100 104884834082600 111233126671810 117087501759800 123954803915800 125054994483100 130057194262424 136350284307380 147792266207300 153703956855592 162571492828030 170437855384225 171127887187400 174663587335900 192129946069490 202242048494200 211342940676439 222466253343620 250109988966200 272700568614760 278082816679525 295584532414600 325142985656060 340875710768450 349327174671800 384259892138980 406428732070075 422685881352878 444932506687240 480324865173725 556165633359050 650285971312120 681751421536900 768519784277960 812857464140150 845371762705756 960649730347450 1056714703382195 1112331266718100 1363502843073800 1625714928280300 1690743525411512 1921299460694900 2113429406764390 2224662533436200 3251429856560600 3842598921389800 4226858813528780 5283573516910975 8453717627057560 10567147033821950 21134294067643900 42268588135287800
- Sum of all divisors σ(n): 127564422434739360
- Sum of proper divisors (its aliquot sum) s(n): 85295834299451560
- 42268588135287800 is an abundant number, because the sum of its proper divisors (85295834299451560) is greater than itself. Its abundance is 43027246164163760
Bases of 42268588135287800
- Binary: 100101100010101100001110100101001111011000001011111110002
- Hexadecimal: 0x962B0E94F60BF8
- Base-36: BK6YPBL58MW
Squares and roots of 42268588135287800
- 42268588135287800 squared (422685881352878002) is 1786633542950592577555588828840000
- 42268588135287800 cubed (422685881352878003) is 75518477375668623448546409817465468278340152000000
-
The
square root of 42268588135287800 is 205593258.9733617701 -
The
cube root of 42268588135287800 is 348342.0584596717
Scales and comparisons
How big is 42268588135287800?- 42,268,588,135,287,800 seconds is equal to 1,344,010,357 years, 19 weeks, 3 days, 8 hours, 23 minutes, 20 seconds.
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To count from 1 to 42,268,588,135,287,800 would take you about four billion, thirty-two million, thirty-one thousand and seventy-two 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 42268588135287800 cubic inches would be around 29028.5 feet tall.
Recreational maths with 42268588135287800
- 42268588135287800 backwards is 00878253188586224
- The number of decimal digits it has is: 17
- The sum of 42268588135287800's digits is 77
- More coming soon!
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The information we have on file for 42268588135287800 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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