2002401691680
2,002,401,691,680 is an even composite number composed of seven prime numbers multiplied together.
2002401691680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 2002401691680:
25 × 3 × 5 × 133 × 19 × 372 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 19 × 37 × 37 × 73)See below for interesting mathematical facts about the number 2002401691680 from the Numbermatics database.
Names of 2002401691680
- Cardinal: 2002401691680 can be written as Two trillion, two billion, four hundred one million, six hundred ninety-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.00240169168 × 1012
Factors of 2002401691680
Divisors of 2002401691680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 37 38 39 40 48 52 57 60 65 73 74 76 78 80 95 96 104 111 114 120 130 146 148 152 156 160 169 185 190 195 208 219 222 228 240 247 260 285 292 296 304 312 338 365 370 380 390 416 438 444 456 480 481 494 507 520 555 570 584 592 608 624 676 703 730 740 741 760 780 845 876 888 912 949 962 988 1014 1040 1095 1110 1140 1168 1184 1235 1248 1352 1369 1387 1406 1443 1460 1480 1482 1520 1560 1690 1752 1776 1824 1898 1924 1976 2028 2080 2109 2190 2197 2220 2280 2336 2405 2470 2535 2701 2704 2738 2774 2812 2847 2886 2920 2960 2964 3040 3120 3211 3380 3504 3515 3552 3705 3796 3848 3952 4056 4107 4161 4218 4380 4394 4440 4560 4745 4810 4940 5070 5402 5408 5476 5548 5624 5694 5772 5840 5920 5928 6240 6253 6422 6591 6760 6845 6935 7008 7030 7215 7410 7592 7696 7904 8103 8112 8214 8322 8436 8760 8788 8880 9120 9139 9490 9620 9633 9880 10140 10545 10804 10952 10985 11096 11248 11388 11544 11680 11856 12337 12506 12844 13182 13505 13520 13690 13870 14060 14235 14430 14820 15184 15392 16055 16206 16224 16428 16644 16872 17520 17576 17760 17797 18031 18278 18759 18980 19240 19266 19760 20280 20535 20805 21090 21608 21904 21970 22192 22496 22776 23088 23712 24674 25012 25688 26011 26364 27010 27040 27380 27417 27740 28120 28470 28860 29640 30368 31265 32110 32412 32856 32955 33288 33744 35040 35113 35152 35594 36062 36556 37011 37518 37960 38480 38532 39520 40515 40560 41070 41610 41743 42180 43216 43808 43940 44384 45552 45695 46176 48165 49348 50024 51319 51376 52022 52728 53391 54020 54093 54760 54834 55480 56240 56940 57720 59280 61685 62530 64220 64824 65712 65910 66576 67488 70226 70304 71188 72124 73112 74022 75036 75920 76960 77064 78033 81030 81120 81289 82140 83220 83486 84360 86432 87880 88985 90155 91104 91390 93795 96330 98696 99937 100048 102638 102752 104044 105339 105456 106782 108040 108186 109520 109668 110960 112480 113880 115440 118560 118807 123370 125060 125229 128440 129648 130055 131424 131820 133152 137085 140452 142376 144248 146224 148044 150072 151840 153957 154128 156066 160381 162060 162578 164280 166440 166972 168720 175565 175760 177970 180310 182780 185055 187590 192660 197392 199874 200096 205276 208088 208715 210678 210912 213564 216080 216372 219040 219336 221920 227760 230880 231361 234403 237614 243867 246740 250120 250458 256595 256880 259296 260110 263640 266955 270465 274170 280904 284752 288496 292448 296088 299811 300144 307914 308256 312132 320762 324120 325156 328560 332880 333944 337440 338143 351130 351520 355940 356421 360620 365560 370110 375180 385320 390165 394784 399748 406445 410552 416176 417430 421356 427128 432160 432744 438672 455520 456469 462722 468806 475228 481143 487734 493480 499685 500240 500916 513190 513760 520220 526695 527280 533910 540930 548340 561808 569504 576992 592176 594035 599622 600288 615828 624264 626145 641524 648240 650312 657120 665760 667147 667888 676286 694083 702260 703209 711880 712842 721240 731120 740220 750360 769785 770640 780330 799496 801905 812890 821104 832352 834860 842712 854256 865488 877344 912938 925444 937612 950456 962286 975468 986960 999370 1000480 1001832 1014429 1026380 1040440 1053390 1054560 1067820 1081860 1096680 1123616 1156805 1172015 1184352 1188070 1199244 1219335 1231656 1248528 1252290 1283048 1296480 1299181 1300624 1334294 1335776 1352572 1369407 1388166 1404520 1406418 1423760 1425684 1442480 1462240 1480440 1499055 1500720 1539570 1541280 1544491 1560660 1598992 1603810 1625780 1642208 1669720 1685424 1690715 1708512 1730976 1782105 1825876 1850888 1875224 1898803 1900912 1924572 1950936 1973920 1998740 2001441 2003664 2028858 2052760 2080880 2106780 2135640 2163720 2193360 2282345 2313610 2344030 2376140 2398488 2405715 2438670 2463312 2497056 2504580 2566096 2598362 2601248 2668588 2705144 2738814 2776332 2809040 2812836 2847520 2851368 2884960 2960880 2998110 3001440 3007693 3047239 3079140 3088982 3121320 3197984 3207620 3251560 3335735 3339440 3370848 3381430 3470415 3516045 3564210 3651752 3701776 3750448 3797606 3801824 3849144 3897543 3901872 3997480 4002882 4007328 4057716 4105520 4161760 4213560 4271280 4327440 4386720 4395859 4564690 4627220 4633473 4688060 4752280 4796976 4811430 4877340 4926624 5009160 5072145 5132192 5196724 5337176 5410288 5477628 5552664 5618080 5625672 5696409 5702736 5921760 5934097 5996220 6015386 6094478 6158280 6177964 6242640 6415240 6495905 6503120 6671470 6678880 6762860 6847035 6940830 7032090 7128420 7303504 7403552 7500896 7595212 7698288 7722455 7795086 7803744 7994960 8005764 8115432 8211040 8427120 8542560 8654880 8672911 8791718 9023079 9129380 9141717 9254440 9266946 9376120 9494015 9504560 9593952 9622860 9754680 10007205 10018320 10144290 10393448 10674352 10820576 10955256 11105328 11251344 11392818 11405472 11868194 11992440 12030772 12188956 12316560 12355928 12485280 12830480 12991810 13006240 13187577 13342940 13525720 13694070 13881660 14064180 14256840 14607008 15038465 15190424 15236195 15396576 15444910 15590172 15989920 16011528 16230864 16854240 16889353 17345822 17583436 17802291 18046158 18258760 18283434 18508880 18533892 18752240 18988030 19009120 19245720 19487715 19509360 20014410 20036640 20288580 20786896 21348704 21910512 21979295 22210656 22502688 22785636 23167365 23736388 23984880 24061544 24377912 24633120 24684439 24711856 25660960 25983620 26018733 26375154 26685880 27051440 27388140 27763320 28128360 28482045 28513680 29670485 30076930 30380848 30472390 30889820 31180344 32023056 32461728 33778706 34691644 35166872 35604582 36092316 36517520 36566868 37017760 37067784 37504480 37976060 38491440 38975430 39018720 40028820 40577160 41573792 43364555 43821024 43958590 45115395 45571272 45708585 46334730 47472776 47969760 48123088 48755824 49368878 49423712 50668059 51967240 52037466 52750308 53371760 54102880 54776280 55526640 56256720 56964090 57027360 57146167 59340970 60153860 60761696 60944780 61779640 62360688 64046112 65937885 67557412 69383288 70333744 71209164 72184632 73035040 73133736 74053317 74135568 75952120 76982880 77950860 80057640 81154320 84446765 86729110 87917180 89011455 90230790 91142544 91417170 92669460 94945552 96246176 97511648 98737756 101336118 103934480 104074932 105500616 106743520 109552560 111053280 112513440 112747843 113928180 114292334 118681940 120307720 121889560 123422195 123559280 124721376 130093665 131875770 135114824 138766576 140667488 142418328 144369264 146267472 148106634 148271136 151904240 155901720 160115280 162308640 168893530 171438501 173458220 175834360 178022910 180461580 182285088 182834340 185338920 189891104 197475512 202672236 207868960 208149864 211001232 219105120 219561589 225495686 227856360 228584668 237363880 240615440 243779120 246844390 247118560 253340295 260187330 263751540 270229648 277533152 284836656 285730835 288738528 292534944 296213268 303808480 311803440 320230560 320897707 337787060 338243529 342877002 346916440 351668720 356045820 360923160 365668680 370266585 370677840 394951024 405344472 416299728 422002464 439123178 450991372 455712720 457169336 474727760 481230880 487558240 493688780 506680590 520374660 527503080 540459296 563739215 569673312 571461670 592426536 623606880 641795414 658684767 675574120 676487058 685754004 693832880 703337440 712091640 721846320 731337360 740533170 741355680 789902048 810688944 832599456 857192505 878246356 901982744 911425440 914338672 949455520 962693121 987377560 1013361180 1040749320 1055006160 1097807945 1127478430 1142923340 1184853072 1283590828 1317369534 1351148240 1352974116 1371508008 1387665760 1424183280 1443692640 1462674720 1481066340 1604488535 1621377888 1691217645 1714385010 1756492712 1803965488 1828677344 1925386242 1974755120 2026722360 2081498640 2110012320 2195615890 2254956860 2285846680 2369706144 2567181656 2634739068 2702296480 2705948232 2743016016 2848366560 2962132680 3208977070 3293423835 3382435290 3428770020 3512985424 3607930976 3850772484 3949510240 4053444720 4162997280 4171670191 4391231780 4509913720 4571693360 4813465605 5134363312 5269478136 5411896464 5486032032 5924265360 6417954140 6586847670 6764870580 6857540040 7025970848 7701544968 8106889440 8343340382 8782463560 9019827440 9143386720 9626931210 10268726624 10538956272 10823792928 11848530720 12515010573 12835908280 13173695340 13529741160 13715080080 15403089936 16686680764 17564927120 18039654880 19253862420 20858350955 21077912544 25030021146 25671816560 26347390680 27059482320 27430160160 30806179872 33373361528 35129854240 38507724840 41716701910 50060042292 51343633120 52694781360 54118964640 62575052865 66746723056 77015449680 83433403820 100120084584 105389562720 125150105730 133493446112 154030899360 166866807640 200240169168 250300211460 333733615280 400480338336 500600422920 667467230560 1001200845840 2002401691680
- Sum of all divisors σ(n): 7493497401600
- Sum of proper divisors (its aliquot sum) s(n): 5491095709920
- 2002401691680 is an abundant number, because the sum of its proper divisors (5491095709920) is greater than itself. Its abundance is 3488694018240
Bases of 2002401691680
- Binary: 111010010001110000111000100001000001000002
- Hexadecimal: 0x1D238710820
- Base-36: PJW29LPC
Squares and roots of 2002401691680
- 2002401691680 squared (20024016916802) is 4009612534842925781222400
- 2002401691680 cubed (20024016916803) is 8028854922750807527400419338309632000
-
The
square root of 2002401691680 is 1415062.4338452349 -
The
cube root of 2002401691680 is 12604.2517180829
Scales and comparisons
How big is 2002401691680?- 2,002,401,691,680 seconds is equal to 63,670 years, 9 weeks, 2 days, 12 hours, 8 minutes.
-
To count from 1 to 2,002,401,691,680 would take you about one hundred fifty-nine thousand, one hundred seventy-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 2002401691680 cubic inches would be around 1050.4 feet tall.
Recreational maths with 2002401691680
- 2002401691680 backwards is 0861961042002
- 2002401691680 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2002401691680's digits is 39
- More coming soon!
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The information we have on file for 2002401691680 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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