10040620428800
10,040,620,428,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 10040620428800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
10040620428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 10040620428800:
29 × 52 × 133 × 67 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 67 × 73 × 73)See below for interesting mathematical facts about the number 10040620428800 from the Numbermatics database.
Names of 10040620428800
- Cardinal: 10040620428800 can be written as Ten trillion, forty billion, six hundred twenty million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.00406204288 × 1013
Factors of 10040620428800
Divisors of 10040620428800
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 67 73 80 100 104 128 130 134 146 160 169 200 208 256 260 268 292 320 325 335 338 365 400 416 512 520 536 584 640 650 670 676 730 800 832 845 871 949 1040 1072 1168 1280 1300 1340 1352 1460 1600 1664 1675 1690 1742 1825 1898 2080 2144 2197 2336 2560 2600 2680 2704 2920 3200 3328 3350 3380 3484 3650 3796 4160 4225 4288 4355 4394 4672 4745 4891 5200 5329 5360 5408 5840 6400 6656 6700 6760 6968 7300 7592 8320 8450 8576 8710 8788 9344 9490 9782 10400 10658 10720 10816 10985 11323 11680 12337 12800 13400 13520 13936 14600 15184 16640 16900 17152 17420 17576 18688 18980 19564 20800 21316 21440 21632 21775 21970 22646 23360 23725 24455 24674 26645 26800 27040 27872 29200 30368 33280 33800 34304 34840 35152 37376 37960 39128 41600 42632 42880 43264 43550 43940 45292 46720 47450 48910 49348 53290 53600 54080 54925 55744 56615 58400 60736 61685 63583 67600 69277 69680 70304 75920 78256 83200 85264 85760 86528 87100 87880 90584 93440 94900 97820 98696 106580 107200 108160 109850 111488 113230 116800 121472 122275 123370 127166 133225 135200 138554 139360 140608 147199 151840 156512 160381 166400 170528 171520 174200 175760 181168 186880 189800 195640 197392 213160 214400 216320 219700 222976 226460 233600 242944 244550 246740 254332 266450 270400 277108 278720 281216 283075 294398 303680 308425 313024 317915 320762 341056 346385 348400 351520 357043 362336 379600 391280 394784 426320 428800 432640 439400 445952 452920 467200 485888 489100 493480 508664 532900 540800 554216 557440 562432 566150 588796 607360 616850 626048 635830 641524 682112 692770 696800 703040 714086 724672 735995 759200 782560 789568 801905 826579 852640 857600 878800 900601 905840 934400 978200 986960 1017328 1065800 1081600 1108432 1114880 1124864 1132300 1177592 1214720 1233700 1252096 1271660 1283048 1364224 1385540 1393600 1406080 1428172 1449344 1471990 1518400 1565120 1579136 1589575 1603810 1653158 1705280 1731925 1757600 1785215 1801202 1811680 1956400 1973920 2034656 2131600 2163200 2216864 2229760 2264600 2355184 2429440 2467400 2504192 2543320 2566096 2728448 2771080 2787200 2812160 2856344 2898688 2943980 3036800 3130240 3158272 3179150 3207620 3306316 3410560 3463850 3515200 3570430 3602404 3623360 3679975 3912800 3947840 4009525 4069312 4132895 4263200 4433728 4503005 4529200 4641559 4710368 4934800 5086640 5132192 5542160 5574400 5624320 5712688 5797376 5887960 6073600 6260480 6316544 6358300 6415240 6612632 6821120 6927700 7030400 7140860 7204808 7246720 7359950 7825600 7895680 8019050 8138624 8265790 8526400 8867456 8926075 9006010 9058400 9283118 9420736 9869600 10173280 10264384 10745527 11084320 11148800 11425376 11707813 11775920 12147200 12520960 12716600 12830480 13225264 13642240 13855400 14060800 14281720 14409616 14493440 14719900 15651200 15791360 16038100 16277248 16531580 17052800 17734912 17852150 18012020 18116800 18566236 18841472 19739200 20346560 20528768 20664475 21491054 22168640 22515025 22850752 23207795 23415626 23551840 25433200 25660960 26450528 27710800 28121600 28563440 28819232 28986880 29439800 31302400 31582720 32076200 32554496 33063160 34105600 35469824 35704300 36024040 36233600 37132472 37682944 39478400 40693120 41057536 41328950 42982108 44337280 45030050 45701504 46415590 46831252 47103680 50866400 51321920 52901056 53727635 55421600 57126880 57638464 58539065 58879600 60340267 62604800 64152400 66126320 68211200 71408600 72048080 72467200 74264944 75365888 78956800 81386240 82115072 82657900 85964216 88674560 90060100 91403008 92831180 93662504 94207360 101732800 102643840 105802112 107455270 110843200 114253760 115276928 116038975 117078130 117759200 120680534 128304800 132252640 142817200 144096160 144934400 148529888 157913600 162772480 165315800 171928432 177349120 180120200 182806016 185662360 187325008 188414720 203465600 205287680 211604224 214910540 221686400 228507520 230553856 232077950 234156260 235518400 241361068 256609600 264505280 268638175 285634400 288192320 292695325 297059776 301701335 330631600 343856864 360240400 371324720 374650016 376829440 406931200 410575360 423208448 429821080 443372800 457015040 461107712 464155900 468312520 471036800 482722136 513219200 529010560 537276350 571268800 576384640 585390650 594119552 603402670 661263200 687713728 720480800 742649440 749300032 784423471 813862400 859642160 886745600 914030080 928311800 936625040 942073600 965444272 1026438400 1058021120 1074552700 1142537600 1152769280 1170781300 1188239104 1206805340 1322526400 1375427456 1440961600 1485298880 1498600064 1508506675 1568846942 1719284320 1856623600 1873250080 1884147200 1930888544 2052876800 2116042240 2149105400 2285075200 2305538560 2341562600 2376478208 2413610680 2645052800 2750854912 2881923200 2970597760 2997200128 3017013350 3137693884 3438568640 3713247200 3746500160 3861777088 3922117355 4298210800 4570150400 4683125200 4827221360 5290105600 5501709824 5763846400 5941195520 5994400256 6034026700 6275387768 6877137280 7426494400 7493000320 7723554176 7844234710 8596421600 9366250400 9654442720 10580211200 11527692800 11882391040 12068053400 12550775536 13754274560 14852988800 14986000640 15447108352 15688469420 17192843200 18732500800 19308885440 19610586775 24136106800 25101551072 27508549120 29705977600 29972001280 30894216704 31376938840 34385686400 37465001600 38617770880 39221173550 48272213600 50203102144 59411955200 62753877680 68771372800 74930003200 77235541760 78442347100 96544427200 100406204288 125507755360 137542745600 149860006400 154471083520 156884694200 193088854400 200812408576 251015510720 313769388400 386177708800 401624817152 502031021440 627538776800 772355417600 1004062042880 1255077553600 2008124085760 2510155107200 5020310214400 10040620428800
- Sum of all divisors σ(n): 27730529663760
- Sum of proper divisors (its aliquot sum) s(n): 17689909234960
- 10040620428800 is an abundant number, because the sum of its proper divisors (17689909234960) is greater than itself. Its abundance is 7649288806160
Bases of 10040620428800
- Binary: 100100100001110000111001110100101110000000002
- Hexadecimal: 0x921C39D2E00
- Base-36: 3K4LI5U68
Squares and roots of 10040620428800
- 10040620428800 squared (100406204288002) is 100814058595235895869440000
- 10040620428800 cubed (100406204288003) is 1012235696241565766421768801615872000000
-
The
square root of 10040620428800 is 3168693.8048350459 -
The
cube root of 10040620428800 is 21573.4788444277
Scales and comparisons
How big is 10040620428800?- 10,040,620,428,800 seconds is equal to 319,260 years, 34 weeks, 6 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 10,040,620,428,800 would take you about seven hundred ninety-eight thousand, one hundred fifty-one 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 10040620428800 cubic inches would be around 1797.8 feet tall.
Recreational maths with 10040620428800
- 10040620428800 backwards is 00882402604001
- The number of decimal digits it has is: 14
- The sum of 10040620428800's digits is 35
- More coming soon!
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