42148809505920
42,148,809,505,920 is an even composite number composed of seven prime numbers multiplied together.
42148809505920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42148809505920:
27 × 3 × 5 × 132 × 232 × 31 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 23 × 23 × 31 × 89 × 89)See below for interesting mathematical facts about the number 42148809505920 from the Numbermatics database.
Names of 42148809505920
- Cardinal: 42148809505920 can be written as Forty-two trillion, one hundred forty-eight billion, eight hundred nine million, five hundred five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.214880950592 × 1013
Factors of 42148809505920
Divisors of 42148809505920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 31 32 39 40 46 48 52 60 62 64 65 69 78 80 89 92 93 96 104 115 120 124 128 130 138 155 156 160 169 178 184 186 192 195 208 230 240 248 260 267 276 299 310 312 320 338 345 356 368 372 384 390 403 416 445 460 465 480 496 507 520 529 534 552 598 620 624 640 676 690 712 713 736 744 780 806 832 845 890 897 920 930 960 992 1014 1040 1058 1068 1104 1157 1196 1209 1240 1248 1335 1352 1380 1424 1426 1472 1488 1495 1560 1587 1612 1664 1690 1780 1794 1840 1860 1920 1984 2015 2028 2047 2080 2116 2136 2139 2208 2314 2392 2418 2480 2496 2535 2645 2670 2704 2759 2760 2848 2852 2944 2976 2990 3120 3174 3224 3380 3471 3560 3565 3588 3680 3720 3887 3968 4030 4056 4094 4160 4232 4272 4278 4416 4485 4628 4784 4836 4960 4992 5070 5239 5290 5340 5408 5518 5520 5696 5704 5785 5952 5980 6045 6141 6240 6348 6448 6760 6877 6942 7120 7130 7176 7360 7440 7774 7921 7935 8060 8112 8188 8277 8320 8464 8544 8556 8832 8970 9256 9269 9568 9672 9920 10140 10235 10478 10580 10680 10695 10816 11036 11040 11392 11408 11570 11661 11904 11960 12090 12282 12480 12696 12896 13520 13754 13795 13884 14240 14260 14352 14720 14880 15041 15548 15717 15842 15870 16120 16224 16376 16399 16554 16928 17088 17112 17355 17940 18512 18538 19136 19344 19435 19840 20280 20470 20631 20956 21160 21360 21390 21632 22072 22080 22816 23140 23322 23763 23920 24180 24564 24960 25392 25792 26195 26611 27040 27508 27590 27768 27807 28480 28520 28704 29760 30082 30705 31096 31434 31684 31740 32240 32448 32752 32798 33108 33856 34176 34224 34385 34710 35867 35880 37024 37076 38272 38688 38870 39605 40560 40940 41262 41385 41912 42320 42720 42780 44144 44160 45123 45632 46280 46345 46644 47081 47526 47840 48360 49128 49197 50784 51584 52390 53222 54080 55016 55180 55536 55614 56960 57040 57408 58305 59520 60164 61410 62192 62868 63368 63457 63480 64480 64896 65504 65596 66216 67712 68448 68770 69420 71734 71760 74048 74152 75205 77376 77740 78585 79210 79833 81120 81880 81995 82524 82770 83824 84640 85440 85560 88288 89401 90246 91264 92560 92690 93288 94162 95052 95680 96720 98256 98394 101568 102973 103155 104780 106444 107601 108160 110032 110360 111072 111228 114080 114816 116610 118815 120328 120497 122820 124384 125736 126736 126914 126960 128960 131008 131192 132432 133055 136896 137540 138840 139035 141243 143468 143520 148096 148304 150410 154752 155480 157170 158420 159666 162240 163760 163990 165048 165540 167648 169280 170880 171120 176576 178802 179335 180492 182183 185120 185380 186576 188324 190104 190371 191360 193440 196512 196788 203136 205946 206310 209560 212888 213187 215202 220064 220720 222144 222456 225615 228160 233220 235405 237630 240656 240994 245551 245640 245985 248768 251472 253472 253828 253920 257920 262016 262384 264864 266110 268203 273792 275080 277680 278070 282486 286936 287040 296608 300820 308919 310960 314340 316840 317285 319332 324480 327520 327980 330096 331080 335296 338560 342240 345943 353152 357604 358670 360984 361491 364366 370240 370760 373152 376648 380208 380742 386880 393024 393576 399165 411892 412620 419120 425776 426374 430404 440128 441440 444288 444912 447005 451230 456320 466271 466440 470810 475260 481312 481988 491102 491280 491970 497536 502944 506944 507656 507840 514865 524768 529728 532220 536406 538005 546549 550160 555360 556140 564972 573872 574080 593216 601640 602485 612053 617838 621920 628680 633680 634570 638664 639561 655040 655960 660192 662160 670592 684480 691886 706215 715208 717340 721968 722982 728732 736653 740480 741520 746304 753296 760416 761484 773760 786048 787152 798330 823784 824941 825240 838240 851552 852748 860808 880256 882880 889824 894010 902460 910915 932542 932880 941620 950520 951855 962624 963976 982204 982560 983940 1005888 1013888 1015312 1015680 1029730 1037829 1049536 1059456 1064440 1065935 1072812 1076010 1093098 1100320 1110720 1112280 1129944 1147744 1186432 1203280 1204970 1224106 1227755 1235676 1243840 1257360 1267360 1269140 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35241479520 36429394560 38178269480 39465177440 39838194240 40527701448 41566873280 42488719260 43905009902 45321300544 45813923376 46988639360 47358212928 49880247936 50659626810 52293808320 54036935264 56651625680 57267404220 59114739840 59197766160 61085231168 62350309920 65857514853 67546169080 67981950816 70482959040 76356538960 78930354880 79676388480 81055402896 83133746560 84977438520 87810019804 90642601088 91627846752 94716425856 101319253620 104587616640 108073870528 109762524755 113303251360 114534808440 118395532320 122170462336 124700619840 131715029706 135092338160 135963901632 140965918080 152713077920 157860709760 162110805792 169954877040 175620039608 183255693504 202638507240 216147741056 219525049510 226606502720 229069616880 236791064640 249401239680 263430059412 270184676320 271927803264 305426155840 324221611584 329287574265 339909754080 351240079216 366511387008 405277014480 439050099020 453213005440 458139233760 473582129280 526860118824 540369352640 610852311680 648443223168 658575148530 679819508160 702480158432 810554028960 878100198040 916278467520 1053720237648 1080738705280 1317150297060 1359639016320 1404960316864 1621108057920 1756200396080 1832556935040 2107440475296 2634300594120 2809920633728 3242216115840 3512400792160 4214880950592 5268601188240 7024801584320 8429761901184 10537202376480 14049603168640 21074404752960 42148809505920
- Sum of all divisors σ(n): 158768504213760
- Sum of proper divisors (its aliquot sum) s(n): 116619694707840
- 42148809505920 is an abundant number, because the sum of its proper divisors (116619694707840) is greater than itself. Its abundance is 74470885201920
Bases of 42148809505920
- Binary: 10011001010101100010001101000101111100100000002
- Hexadecimal: 0x265588D17C80
- Base-36: EXUW8XH1C
Squares and roots of 42148809505920
- 42148809505920 squared (421488095059202) is 1776522142766332154515046400
- 42148809505920 cubed (421488095059203) is 74878293378506948079555941951989874688000
-
The
square root of 42148809505920 is 6492211.4495693993 -
The
cube root of 42148809505920 is 34801.2709013993
Scales and comparisons
How big is 42148809505920?- 42,148,809,505,920 seconds is equal to 1,340,201 years, 39 weeks, 6 days, 8 hours, 32 minutes.
-
To count from 1 to 42,148,809,505,920 would take you about three million, three hundred fifty thousand, five hundred four 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 42148809505920 cubic inches would be around 2900.1 feet tall.
Recreational maths with 42148809505920
- 42148809505920 backwards is 02950590884124
- The number of decimal digits it has is: 14
- The sum of 42148809505920's digits is 57
- More coming soon!
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"Number 42148809505920 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 42148809505920 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/42148809505920/
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The information we have on file for 42148809505920 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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