42197763693120
42,197,763,693,120 is an even composite number composed of seven prime numbers multiplied together.
42197763693120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42197763693120:
26 × 3 × 5 × 72 × 61 × 73 × 201451
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 61 × 73 × 201451)See below for interesting mathematical facts about the number 42197763693120 from the Numbermatics database.
Names of 42197763693120
- Cardinal: 42197763693120 can be written as Forty-two trillion, one hundred ninety-seven billion, seven hundred sixty-three million, six hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.219776369312 × 1013
Factors of 42197763693120
Divisors of 42197763693120
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 61 64 70 73 80 84 96 98 105 112 120 122 140 146 147 160 168 183 192 196 210 219 224 240 244 245 280 292 294 305 320 336 365 366 392 420 427 438 448 480 488 490 511 560 584 588 610 672 730 732 735 784 840 854 876 915 960 976 980 1022 1095 1120 1168 1176 1220 1281 1344 1460 1464 1470 1533 1568 1680 1708 1752 1830 1952 1960 2044 2135 2190 2240 2336 2352 2440 2555 2562 2920 2928 2940 2989 3066 3136 3360 3416 3504 3577 3660 3904 3920 4088 4270 4380 4453 4672 4704 4880 5110 5124 5840 5856 5880 5978 6132 6405 6720 6832 7008 7154 7320 7665 7840 8176 8540 8760 8906 8967 9408 9760 10220 10248 10731 11680 11712 11760 11956 12264 12810 13359 13664 14016 14308 14640 14945 15330 15680 16352 17080 17520 17812 17885 17934 19520 20440 20496 21462 22265 23360 23520 23912 24528 25620 26718 27328 28616 29280 29890 30660 31171 32704 34160 35040 35624 35770 35868 40880 40992 42924 44530 44835 47040 47824 49056 51240 53436 53655 57232 58560 59780 61320 62342 66795 68320 70080 71248 71540 71736 81760 81984 85848 89060 89670 93513 95648 98112 102480 106872 107310 114464 119560 122640 124684 133590 136640 142496 143080 143472 155855 163520 171696 178120 179340 187026 191296 201451 204960 213744 214620 218197 228928 239120 245280 249368 267180 284992 286160 286944 311710 343392 356240 358680 374052 402902 409920 427488 429240 436394 467565 478240 490560 498736 534360 572320 573888 604353 623420 654591 686784 712480 717360 748104 805804 854976 858480 872788 935130 956480 997472 1007255 1068720 1090985 1144640 1208706 1246840 1309182 1410157 1424960 1434720 1496208 1611608 1716960 1745576 1870260 1994944 2014510 2137440 2181970 2417412 2493680 2618364 2820314 2869440 2992416 3021765 3223216 3272955 3433920 3491152 3740520 4029020 4230471 4274880 4363940 4834824 4987360 5236728 5640628 5984832 6043530 6446432 6545910 6982304 7050785 7481040 8058040 8460942 8727880 9669648 9871099 9974720 10473456 11281256 12087060 12288511 12892864 13091820 13964608 14101570 14705923 14962080 16116080 16921884 17455760 19339296 19742198 20946912 21152355 22562512 24174120 24577022 26183640 28203140 29411846 29613297 29924160 32232160 33843768 34911520 36865533 38678592 39484396 41893824 42304710 44117769 45125024 48348240 49154044 49355495 52367280 56406280 58823692 59226594 61442555 64464320 67687536 69823040 73529615 73731066 78968792 84609420 86019577 88235538 90250048 96696480 98308088 98710990 102941461 104734560 112812560 117647384 118453188 122885110 135375072 147059230 147462132 148066485 157937584 169218840 172039154 176471076 184327665 193392960 196616176 197421980 205882922 209469120 220588845 225625120 235294768 236906376 245770220 258058731 270750144 294118460 294924264 296132970 308824383 315875168 338437680 344078308 352942152 368655330 393232352 394843960 411765844 430097885 441177690 451250240 470589536 473812752 491540440 514707305 516117462 588236920 589848528 592265940 602137039 617648766 631750336 676875360 688156616 705884304 720590227 737310660 786464704 789687920 823531688 860195770 882355380 897061303 941179072 947625504 983080880 1029414610 1032234924 1176473840 1179697056 1184531880 1204274078 1235297532 1290293655 1353750720 1376313232 1411768608 1441180454 1474621320 1544121915 1579375840 1647063376 1720391540 1764710760 1794122606 1806411117 1895251008 1966161760 2058829220 2064469848 2161770681 2352947680 2359394112 2369063760 2408548156 2470595064 2580587310 2691183909 2752626464 2823537216 2882360908 2949242640 3010685195 3088243830 3158751680 3294126752 3440783080 3529421520 3588245212 3602951135 3612822234 3932323520 4117658440 4128939696 4323541362 4485306515 4705895360 4738127520 4817096312 4941190128 5161174620 5382367818 5505252928 5764721816 5898485280 6021370390 6176487660 6279429121 6588253504 6881566160 7058843040 7176490424 7205902270 7225644468 8235316880 8257879392 8647082724 8970613030 9032055585 9476255040 9634192624 9882380256 10322349240 10764735636 10808853405 11529443632 11796970560 12042740780 12352975320 12558858242 13455919545 13763132320 14117686080 14352980848 14411804540 14451288936 16470633760 16515758784 17294165448 17941226060 18064111170 18838287363 19268385248 19764760512 20644698480 21529471272 21617706810 23058887264 24085481560 24705950640 25117716484 26911839090 27526264640 28705961696 28823609080 28902577872 31397145605 32941267520 34588330896 35882452120 36128222340 37676574726 38536770496 41289396960 43058942544 43235413620 43956003847 46117774528 48170963120 49411901280 50235432968 53823678180 57411923392 57647218160 57805155744 62794291210 69176661792 71764904240 72256444680 75353149452 82578793920 86117885088 86470827240 87912007694 94191436815 96341926240 98823802560 100470865936 107647356360 115294436320 115610311488 125588582420 131868011541 138353323584 143529808480 144512889360 150706298904 172235770176 172941654480 175824015388 188382873630 192683852480 200941731872 215294712720 219780019235 230588872640 251177164840 263736023082 287059616960 289025778720 301412597808 345883308960 351648030776 376765747260 401883463744 430589425440 439560038470 502354329680 527472046164 578051557440 602825195616 659340057705 691766617920 703296061552 753531494520 861178850880 879120076940 1004708659360 1054944092328 1205650391232 1318680115410 1406592123104 1507062989040 1758240153880 2009417318720 2109888184656 2637360230820 2813184246208 3014125978080 3516480307760 4219776369312 5274720461640 6028251956160 7032960615520 8439552738624 10549440923280 14065921231040 21098881846560 42197763693120
- Sum of all divisors σ(n): 160577543915136
- Sum of proper divisors (its aliquot sum) s(n): 118379780222016
- 42197763693120 is an abundant number, because the sum of its proper divisors (118379780222016) is greater than itself. Its abundance is 76182016528896
Bases of 42197763693120
- Binary: 10011001100000111011101011011100011010010000002
- Hexadecimal: 0x2660EEB71A40
- Base-36: EYHDUZLMO
Squares and roots of 42197763693120
- 42197763693120 squared (421977636931202) is 1780651260700396461535334400
- 42197763693120 cubed (421977636931203) is 75139501118891545706565452556318179328000
-
The
square root of 42197763693120 is 6495980.5797985573 -
The
cube root of 42197763693120 is 34814.7391250147
Scales and comparisons
How big is 42197763693120?- 42,197,763,693,120 seconds is equal to 1,341,758 years, 18 weeks, 4 days, 17 hours, 52 minutes.
-
To count from 1 to 42,197,763,693,120 would take you about three million, three hundred fifty-four thousand, three hundred ninety-five 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 42197763693120 cubic inches would be around 2901.2 feet tall.
Recreational maths with 42197763693120
- 42197763693120 backwards is 02139636779124
- 42197763693120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42197763693120's digits is 60
- More coming soon!
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