2142124744320
2,142,124,744,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2142124744320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
2142124744320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2142124744320:
27 × 32 × 5 × 11 × 37 × 491 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 37 × 491 × 1861)See below for interesting mathematical facts about the number 2142124744320 from the Numbermatics database.
Names of 2142124744320
- Cardinal: 2142124744320 can be written as Two trillion, one hundred forty-two billion, one hundred twenty-four million, seven hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.14212474432 × 1012
Factors of 2142124744320
Divisors of 2142124744320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 37 40 44 45 48 55 60 64 66 72 74 80 88 90 96 99 110 111 120 128 132 144 148 160 165 176 180 185 192 198 220 222 240 264 288 296 320 330 333 352 360 370 384 396 407 440 444 480 491 495 528 555 576 592 640 660 666 704 720 740 792 814 880 888 960 982 990 1056 1110 1152 1184 1221 1320 1332 1408 1440 1473 1480 1584 1628 1665 1760 1776 1861 1920 1964 1980 2035 2112 2220 2368 2442 2455 2640 2664 2880 2946 2960 3168 3256 3330 3520 3552 3663 3722 3928 3960 4070 4224 4419 4440 4736 4884 4910 5280 5328 5401 5583 5760 5892 5920 6105 6336 6512 6660 7040 7104 7326 7365 7444 7856 7920 8140 8838 8880 9305 9768 9820 10560 10656 10802 11166 11784 11840 12210 12672 13024 13320 14208 14652 14730 14888 15712 15840 16203 16280 16749 17676 17760 18167 18315 18610 19536 19640 20471 21120 21312 21604 22095 22332 23568 23680 24420 26048 26640 27005 27915 29304 29460 29776 31424 31680 32406 32560 33498 35352 35520 36334 36630 37220 39072 39280 40942 42624 43208 44190 44664 47136 48609 48840 52096 53280 54010 54501 55830 58608 58920 59552 61413 62848 63360 64812 65120 66996 68857 70704 71040 72668 73260 74440 78144 78560 81015 81884 83745 86416 88380 89328 90835 94272 97218 97680 102355 106560 108020 109002 111660 117216 117840 119104 122826 129624 130240 133992 137714 141408 145336 146520 148880 156288 157120 162030 163503 163768 167490 172832 176760 178656 181670 184239 188544 194436 195360 199837 204710 206571 213120 216040 218004 223320 234432 235680 238208 243045 245652 259248 260480 267984 272505 275428 282816 290672 293040 297760 307065 314240 324060 327006 327536 334980 344285 345664 353520 357312 363340 368478 388872 390720 399674 409420 413142 432080 436008 446640 468864 471360 486090 491304 518496 535968 545010 550856 565632 581344 586080 595520 599511 614130 619713 648120 654012 655072 669960 688570 691328 707040 714624 726680 736956 757427 777744 781440 799348 817515 818840 826284 864160 872016 893280 913751 921195 942720 972180 982608 999185 1032855 1036992 1071936 1090020 1101712 1162688 1172160 1191040 1199022 1228260 1239426 1296240 1308024 1310144 1339920 1377140 1414080 1453360 1473912 1514854 1555488 1598696 1635030 1637680 1652568 1728320 1744032 1786560 1798533 1827502 1842390 1944360 1965216 1998370 2065710 2073984 2143872 2180040 2203424 2272281 2325376 2344320 2398044 2456520 2478852 2592480 2616048 2620288 2679840 2741253 2754280 2828160 2906720 2947824 2997555 3029708 3098565 3110976 3197392 3270060 3275360 3305136 3456640 3488064 3573120 3597066 3655004 3684780 3787135 3888720 3930432 3996740 4131420 4360080 4406848 4544562 4568755 4796088 4913040 4957704 5184960 5232096 5359680 5482506 5508560 5813440 5895648 5995110 6059416 6197130 6221952 6394784 6540120 6550720 6610272 6816843 6976128 7194132 7310008 7369560 7574270 7777440 7860864 7993480 8223759 8262840 8720160 8813696 8992665 9089124 9137510 9592176 9826080 9915408 10051261 10369920 10464192 10719360 10965012 11017120 11361405 11626880 11791296 11990220 12118832 12394260 12789568 13080240 13101440 13220544 13633686 13706265 14388264 14620016 14739120 15148540 15554880 15986960 16447518 16525680 17440320 17985330 18178248 18275020 19184352 19652160 19830816 20102522 20928384 21930024 22034240 22722810 23582592 23980440 24237664 24788520 25579136 26160480 26441088 27267372 27412530 28776528 29240032 29478240 30153783 30297080 31109760 31973920 32895036 33051360 33808787 34084215 34880640 35970660 36356496 36550040 38368704 39304320 39661632 40205044 41118795 43860048 44068480 45445620 47960880 48475328 49577040 50256305 52320960 54534744 54825060 57553056 58480064 58956480 60307566 60594160 63947840 65790072 66102720 67617574 68168430 71941320 72712992 73100080 76737408 79323264 80410088 82237590 87720096 90461349 90891240 95921760 96950656 99154080 100512610 101426361 104641920 109069488 109650120 115106112 116960128 117912960 120615132 121188320 127895680 131580144 132205440 135235148 136336860 143882640 145425984 146200160 150768915 160820176 164475180 169043935 175440192 180922698 181782480 191843520 198308160 201025220 202852722 218138976 219300240 230212224 241230264 242376640 263160288 270470296 272673720 287765280 290851968 292400320 301537830 304279083 321640352 328950360 338087870 350880384 361845396 363564960 371896657 383687040 396616320 402050440 405705444 436277952 438600480 452306745 482460528 484753280 507131805 526320576 540940592 545347440 575530560 584800640 603075660 608558166 643280704 657900720 676175740 723690792 727129920 743793314 804100880 811410888 872555904 877200960 904613490 964921056 1014263610 1052641152 1081881184 1090694880 1115689971 1151061120 1206151320 1217116332 1286561408 1315801440 1352351480 1447381584 1454259840 1487586628 1521395415 1608201760 1622821776 1754401920 1809226980 1859483285 1929842112 2028527220 2163762368 2181389760 2231379942 2412302640 2434232664 2631602880 2704702960 2894763168 2975173256 3042790830 3216403520 3245643552 3347069913 3618453960 3718966570 3859684224 4057054440 4327524736 4362779520 4462759884 4824605280 4868465328 5263205760 5409405920 5578449855 5789526336 5950346512 6085581660 6432807040 6491287104 6694139826 7236907920 7437933140 8114108880 8925519768 9649210560 9736930656 10818811840 11156899710 11579052672 11900693024 12171163320 12982574208 13388279652 14473815840 14875866280 16228217760 16735349565 17851039536 19298421120 19473861312 21637623680 22313799420 23801386048 24342326640 26776559304 28947631680 29751732560 32456435520 33470699130 35702079072 38947722624 44627598840 47602772096 48684653280 53553118608 57895263360 59503465120 64912871040 66941398260 71404158144 89255197680 97369306560 107106237216 119006930240 133882796520 142808316288 178510395360 194738613120 214212474432 238013860480 267765593040 357020790720 428424948864 535531186080 714041581440 1071062372160 2142124744320
- Sum of all divisors σ(n): 8308916703360
- Sum of proper divisors (its aliquot sum) s(n): 6166791959040
- 2142124744320 is an abundant number, because the sum of its proper divisors (6166791959040) is greater than itself. Its abundance is 4024667214720
Bases of 2142124744320
- Binary: 111110010110000001001010110011110100000002
- Hexadecimal: 0x1F2C0959E80
- Base-36: RC2TRJ40
Squares and roots of 2142124744320
- 2142124744320 squared (21421247443202) is 4588698420228025372262400
- 2142124744320 cubed (21421247443203) is 9829564430192546766656066419949568000
-
The
square root of 2142124744320 is 1463599.9263186645 -
The
cube root of 2142124744320 is 12890.8509217753
Scales and comparisons
How big is 2142124744320?- 2,142,124,744,320 seconds is equal to 68,112 years, 48 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 2,142,124,744,320 would take you about one hundred seventy thousand, two hundred eighty-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 2142124744320 cubic inches would be around 1074.2 feet tall.
Recreational maths with 2142124744320
- 2142124744320 backwards is 0234474212412
- 2142124744320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2142124744320's digits is 36
- More coming soon!
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