2006976712320
2,006,976,712,320 is an even composite number composed of seven prime numbers multiplied together.
2006976712320 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 2006976712320:
27 × 32 × 5 × 19 × 41 × 347 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 41 × 347 × 1289)See below for interesting mathematical facts about the number 2006976712320 from the Numbermatics database.
Names of 2006976712320
- Cardinal: 2006976712320 can be written as Two trillion, six billion, nine hundred seventy-six million, seven hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.00697671232 × 1012
Factors of 2006976712320
Divisors of 2006976712320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 41 45 48 57 60 64 72 76 80 82 90 95 96 114 120 123 128 144 152 160 164 171 180 190 192 205 228 240 246 285 288 304 320 328 342 347 360 369 380 384 410 456 480 492 570 576 608 615 640 656 684 694 720 738 760 779 820 855 912 960 984 1041 1140 1152 1216 1230 1289 1312 1368 1388 1440 1476 1520 1558 1640 1710 1735 1824 1845 1920 1968 2082 2280 2337 2432 2460 2578 2624 2736 2776 2880 2952 3040 3116 3123 3280 3420 3470 3648 3690 3867 3895 3936 4164 4560 4674 4920 5156 5205 5248 5472 5552 5760 5904 6080 6232 6246 6445 6560 6593 6840 6940 7011 7296 7380 7734 7790 7872 8328 9120 9348 9840 10312 10410 10944 11104 11601 11685 11808 12160 12464 12492 12890 13120 13186 13680 13880 14022 14227 14760 15468 15580 15615 15744 16656 18240 18696 19335 19680 19779 20624 20820 21888 22208 23202 23370 23616 24491 24928 24984 25780 26240 26372 27360 27760 28044 28454 29520 30936 31160 31230 32965 33312 35055 36480 37392 38670 39360 39558 41248 41640 42681 44416 46404 46740 47232 48982 49856 49968 51560 52744 52849 54720 55520 56088 56908 58005 59040 59337 61872 62320 62460 65930 66624 70110 71135 73473 74784 77340 78720 79116 82496 83280 85362 92808 93480 97964 98895 99712 99936 103120 105488 105698 109440 111040 112176 113816 116010 118080 118674 122455 123744 124640 124920 128043 131860 133248 140220 142270 146946 149568 154680 158232 158547 164992 166560 170724 185616 186960 195928 197790 199872 206240 210976 211396 213405 220419 222080 224352 227632 232020 236160 237348 244910 247488 249280 249840 256086 263720 264245 270313 280440 284540 293892 296685 299136 309360 316464 317094 333120 341448 367365 371232 373920 391856 395580 399744 412480 421952 422792 426810 440838 447283 448704 455264 464040 474696 475641 489820 494976 498560 499680 512172 527440 528490 540626 560880 569080 587784 593370 618720 632928 634188 640215 666240 682896 734730 742464 747840 783712 791160 792735 810939 824960 843904 845584 853620 881676 894566 897408 910528 928080 949392 951282 979640 999360 1004131 1024344 1054880 1056980 1081252 1102095 1121760 1138160 1175568 1186740 1237440 1265856 1268376 1280430 1341849 1351565 1365792 1469460 1484928 1495680 1567424 1582320 1585470 1621878 1691168 1707240 1763352 1789132 1821056 1856160 1898784 1902564 1959280 1998720 2008262 2048688 2109760 2113960 2162504 2204190 2236415 2243520 2276320 2351136 2373480 2378205 2432817 2474880 2531712 2536752 2560860 2683698 2703130 2731584 2938920 3012393 3134848 3164640 3170940 3243756 3382336 3414480 3526704 3578264 3712320 3797568 3805128 3918560 4016524 4025547 4054695 4097376 4219520 4227920 4325008 4408380 4472830 4487040 4552640 4702272 4746960 4756410 4865634 5020655 5073504 5121720 5367396 5406260 5463168 5877840 6024786 6329280 6341880 6487512 6709245 6764672 6828960 7053408 7156528 7424640 7595136 7610256 7837120 8033048 8051094 8109390 8194752 8455840 8498377 8650016 8816760 8945660 9037179 9105280 9404544 9493920 9512820 9731268 10041310 10147008 10243440 10734792 10812520 11755680 12049572 12164085 12658560 12683760 12975024 13418490 13657920 14106816 14313056 15061965 15220512 15674240 16066096 16102188 16218780 16389504 16911680 16996754 17300032 17633520 17891320 18074358 18338603 18987840 19025640 19462536 20082620 20127735 20294016 20486880 21469584 21625040 23511360 24099144 24328170 25367520 25495131 25950048 26836980 27315840 28213632 28626112 30123930 30441024 32132192 32204376 32437560 33823360 33993508 34600064 35267040 35782640 36148716 36677206 37975680 38051280 38925072 40165240 40255470 40973760 42491885 42939168 43250080 45185895 47022720 48198288 48656340 50735040 50990262 51900096 53673960 55015809 57252224 60247860 60882048 64264384 64408752 64875120 67987016 70534080 71565280 72297432 73354412 76102560 76485393 77850144 80330480 80510940 81947520 84983770 85878336 86500160 90371790 91693015 96396576 97312680 101470080 101980524 103800192 107347920 110031618 120495720 127475655 128528768 128817504 129750240 135974032 141068160 143130560 144594864 146708824 152205120 152970786 155700288 160660960 161021880 165047427 169967540 171756672 173000320 180743580 183386030 192793152 194625360 203961048 214695840 220063236 240991440 254951310 257635008 259500480 271948064 275079045 286261120 289189728 293417648 304410240 305941572 311400576 321321920 322043760 330094854 339935080 348433457 361487160 366772060 382426965 385586304 389250720 407922096 429391680 440126472 481982880 509902620 515270016 519000960 543896128 550158090 578379456 586835296 611883144 642643840 644087520 660189708 679870160 696866914 722974320 733544120 764853930 778501440 815844192 825237135 858783360 880252944 963965760 1019805240 1045300371 1087792256 1100316180 1156758912 1173670592 1223766288 1288175040 1320379416 1359740320 1393733828 1445948640 1467088240 1529707860 1557002880 1631688384 1650474270 1742167285 1760505888 1927931520 2039610480 2090600742 2200632360 2347341184 2447532576 2576350080 2640758832 2719480640 2787467656 2891897280 2934176480 3059415720 3135901113 3263376768 3300948540 3484334570 3521011776 4079220960 4181201484 4401264720 4895065152 5226501855 5281517664 5438961280 5574935312 5783794560 5868352960 6118831440 6271802226 6601897080 6968669140 7042023552 8158441920 8362402968 8802529440 9790130304 10453003710 10563035328 11149870624 11736705920 12237662880 12543604452 13203794160 13937338280 15679505565 16316883840 16724805936 17605058880 20906007420 21126070656 22299741248 24475325760 25087208904 26407588320 27874676560 31359011130 33449611872 35210117760 41812014840 44599482496 48950651520 50174417808 52815176640 55749353120 62718022260 66899223744 83624029680 100348835616 105630353280 111498706240 125436044520 133798447488 167248059360 200697671232 222997412480 250872089040 334496118720 401395342464 501744178080 668992237440 1003488356160 2006976712320
- Sum of all divisors σ(n): 7500375792000
- Sum of proper divisors (its aliquot sum) s(n): 5493399079680
- 2006976712320 is an abundant number, because the sum of its proper divisors (5493399079680) is greater than itself. Its abundance is 3486422367360
Bases of 2006976712320
- Binary: 111010011010010010010001001001110100000002
- Hexadecimal: 0x1D349224E80
- Base-36: PLZQ4680
Squares and roots of 2006976712320
- 2006976712320 squared (20069767123202) is 4027955523794796039782400
- 2006976712320 cubed (20069767123203) is 8084012934516863286247437080199168000
-
The
square root of 2006976712320 is 1416678.0552828507 -
The
cube root of 2006976712320 is 12613.8436747245
Scales and comparisons
How big is 2006976712320?- 2,006,976,712,320 seconds is equal to 63,815 years, 33 weeks, 6 days, 3 hours, 12 minutes.
-
To count from 1 to 2,006,976,712,320 would take you about one hundred fifty-nine thousand, five hundred thirty-nine 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 2006976712320 cubic inches would be around 1051.2 feet tall.
Recreational maths with 2006976712320
- 2006976712320 backwards is 0232176796002
- 2006976712320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2006976712320's digits is 45
- More coming soon!
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