4004973891072
4,004,973,891,072 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4004973891072 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1600 divisors.
4004973891072 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 4004973891072:
29 × 34 × 7 × 11 × 29 × 59 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 29 × 59 × 733)See below for interesting mathematical facts about the number 4004973891072 from the Numbermatics database.
Names of 4004973891072
- Cardinal: 4004973891072 can be written as Four trillion, four billion, nine hundred seventy-three million, eight hundred ninety-one thousand and seventy-two.
Scientific notation
- Scientific notation: 4.004973891072 × 1012
Factors of 4004973891072
Divisors of 4004973891072
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 32 33 36 42 44 48 54 56 58 59 63 64 66 72 77 81 84 87 88 96 99 108 112 116 118 126 128 132 144 154 162 168 174 176 177 189 192 198 203 216 224 231 232 236 252 256 261 264 288 297 308 319 324 336 348 352 354 378 384 396 406 413 432 448 462 464 472 504 512 522 528 531 567 576 594 609 616 638 648 649 672 693 696 704 708 733 756 768 783 792 812 826 864 891 896 924 928 944 957 1008 1044 1056 1062 1134 1152 1188 1218 1232 1239 1276 1296 1298 1344 1386 1392 1408 1416 1466 1512 1536 1566 1584 1593 1624 1652 1711 1728 1782 1792 1827 1848 1856 1888 1914 1947 2016 2079 2088 2112 2124 2199 2233 2268 2304 2349 2376 2436 2464 2478 2552 2592 2596 2688 2772 2784 2816 2832 2871 2932 3024 3132 3168 3186 3248 3304 3422 3456 3564 3584 3654 3696 3712 3717 3776 3828 3894 4032 4158 4176 4224 4248 4398 4466 4536 4543 4608 4698 4752 4779 4872 4928 4956 5104 5131 5133 5184 5192 5376 5481 5544 5568 5632 5664 5742 5841 5864 6048 6237 6264 6336 6372 6496 6597 6608 6699 6844 6912 7128 7308 7392 7424 7434 7552 7656 7788 8063 8064 8316 8352 8448 8496 8613 8796 8932 9072 9086 9396 9504 9558 9744 9856 9912 10208 10262 10266 10368 10384 10752 10962 11088 11136 11151 11328 11484 11682 11728 11977 12096 12474 12528 12672 12744 12992 13194 13216 13398 13629 13688 13824 14256 14616 14784 14848 14868 15104 15312 15393 15399 15576 16126 16128 16443 16632 16704 16896 16992 17226 17523 17592 17864 18144 18172 18792 18821 19008 19116 19488 19712 19791 19824 20097 20416 20524 20532 20736 20768 21257 21924 22176 22272 22302 22656 22968 23364 23456 23954 24189 24192 24948 25056 25344 25488 25839 25984 26388 26432 26796 27258 27376 28512 29232 29568 29736 30208 30624 30786 30798 31152 32252 32256 32886 33264 33408 33453 33984 34452 35046 35184 35728 35931 36288 36344 37584 37642 38016 38232 38976 39424 39582 39648 40194 40832 40887 41048 41064 41472 41536 42514 43247 43848 44352 44544 44604 45312 45936 46179 46197 46728 46912 47908 48378 48384 49896 50112 50688 50976 51678 51968 52569 52776 52864 53592 54516 54752 56441 56463 57024 58464 59136 59373 59472 60291 61248 61572 61596 62304 63771 64504 65772 66528 66816 66906 67968 68904 70092 70368 71456 71862 72567 72576 72688 75168 75284 76032 76464 77952 79164 79296 80388 81664 81774 82096 82128 83072 85028 86494 87696 88704 89208 90624 91872 92358 92394 93456 93824 95816 96756 96768 99792 100224 101952 103356 103936 105138 105552 105728 107184 107793 109032 109504 112882 112926 114048 116928 118272 118746 118944 120582 122496 122661 123144 123192 124608 127542 129008 129741 131544 131747 133056 133632 133812 135936 137808 138537 138591 140184 140736 142912 143724 145134 145152 145376 148799 150336 150568 152064 152928 155904 158328 158592 160776 163328 163548 164192 164256 166144 169323 169389 170056 172988 175392 177408 178416 180873 183744 184716 184788 186912 187648 191313 191632 193512 199584 200448 203904 206712 210276 211104 211456 214368 215586 217701 218064 219008 225764 225852 228096 233827 233856 237492 237888 241164 244992 245322 246288 246384 249216 255084 258016 259482 263088 263494 266112 267624 271872 275616 277074 277182 280368 281472 285824 287448 290268 290304 290752 297598 300672 301136 302729 305856 311808 316656 317184 321552 323379 327096 328384 328512 332288 338646 338778 340112 345976 350784 354816 356832 361746 367488 367983 369432 369576 373824 375296 382626 383264 387024 389223 395241 399168 400896 407808 413424 415611 420552 422208 428736 431172 435402 436128 438016 446397 451528 451704 456192 467654 467712 474984 475717 475776 482328 489984 490644 492576 492768 498432 507969 508167 510168 516032 518964 526176 526988 532224 535248 551232 554148 554364 560736 562944 571648 573939 574896 580536 581504 595196 601344 602272 605458 611712 633312 634368 643104 646758 653103 654192 656768 657024 677292 677556 680224 691952 701481 701568 713664 723492 734976 735966 738864 739152 747648 765252 766528 774048 778446 790482 798336 815616 826848 831222 841104 844416 857472 862344 870804 872256 876032 892794 903056 903408 908187 935308 935424 949968 951434 951552 964656 970137 981288 985152 985536 996864 1015938 1016334 1020336 1032064 1037928 1052352 1053976 1064448 1070496 1102464 1108296 1108728 1121472 1125888 1143296 1147878 1149792 1161072 1163008 1167669 1185723 1190392 1202688 1204544 1210916 1223424 1254163 1266624 1286208 1293516 1306206 1308384 1313536 1314048 1339191 1354584 1355112 1360448 1383904 1402962 1403136 1427151 1427328 1446984 1469952 1471932 1477728 1478304 1495296 1523907 1524501 1530504 1533056 1548096 1556892 1580964 1596672 1636789 1653696 1662444 1682208 1688832 1714944 1721817 1724688 1741608 1744512 1785588 1806112 1806816 1816374 1870616 1899936 1902868 1903104 1929312 1940274 1962576 1970304 1971072 2031876 2032668 2040672 2064128 2075856 2104443 2104704 2107952 2140992 2204928 2216592 2217456 2242944 2295756 2299584 2322144 2326016 2335338 2371446 2380784 2409088 2421832 2446848 2508326 2533248 2572416 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65020032 65045376 65389464 66427392 67342176 67454464 67724802 68503248 70233128 70930944 70958592 73147536 73464192 74730816 75759948 75886272 76185088 77066154 77498624 78565872 79012269 79920456 80266432 82774758 82785024 83597184 85372056 85708224 86693376 86727168 87185952 88386606 89789568 89910513 90299736 91337664 92606976 94203648 96421752 96570551 97530048 97568064 97952256 98084196 99641088 101013264 101181696 101587203 102754872 104754496 105349692 106396416 106560608 110196288 110366344 111462912 112096224 113829408 114277632 116247936 117848808 119719424 119880684 120399648 121783552 124162137 124177536 128562336 130040064 130090752 130778928 132579909 134684352 135449604 137006496 140466256 146295072 146928384 149461632 151519896 151772544 154132308 154997248 157131744 158024538 159840912 160532864 165549516 165570048 167194368 170744112 171416448 174371904 176773212 179579136 179821026 180599472 182675328 188407296 192843504 193141102 195060096 195136128 196168392 199282176 202026528 202363392 203174406 205509744 209508992 210699384 212792832 213121216 220392576 220732688 224192448 227658816 228555264 232495872 235697616 237036807 239761368 240799296 243567104 248324274 248355072 257124672 260080128 260181504 261557856 265159818 269368704 269731539 270899208 274012992 280932512 289711653 292590144 293856768 298923264 303039792 303545088 308264616 314263488 316049076 319681824 321065728 331099032 334388736 341488224 342832896 348743808 353546424 359158272 359642052 361198944 365350656 372486411 385687008 386282204 390120192 390272256 392336784 404053056 406348812 411019488 419017984 421398768 426242432 440785152 441465376 448384896 455317632 464991744 471395232 474073614 479522736 481598592 496648548 496710144 514249344 523115712 530319636 538737408 539463078 541798416 548025984 561865024 579423306 585180288 597846528 606079584 607090176 616529232 628526976 632098152 639363648 642131456 662198064 682976448 685665792 697487616 707092848 711110421 719284104 722397888 730701312 744972822 771374016 772564408 780240384 780544512 784673568 808106112 812697624 822038976 838035968 842797536 852484864 869134959 881570304 882930752 896769792 910635264 942790464 948147228 959045472 963197184 993297096 1028498688 1046231424 1060639272 1077474816 1078926156 1083596832 1096051968 1117459233 1123730048 1158846612 1170360576 1212159168 1233058464 1257053952 1264196304 1278727296 1324396128 1365952896 1394975232 1414185696 1422220842 1438568208 1444795776 1489945644 1542748032 1545128816 1569347136 1616212224 1625395248 1644077952 1685595072 1704969728 1738269918 1765861504 1793539584 1821270528 1885580928 1896294456 1918090944 1926394368 1986594192 2056997376 2092462848 2121278544 2157852312 2167193664 2192103936 2234918466 2247460096 2317693224 2340721152 2424318336 2466116928 2514107904 2528392608 2557454592 2607404877 2648792256 2731905792 2828371392 2844441684 2877136416 2889591552 2979891288 3085496064 3090257632 3138694272 3232424448 3250790496 3288155904 3371190144 3476539836 3531723008 3771161856 3792588912 3836181888 3973188384 4184925696 4242557088 4315704624 4334387328 4469836932 4494920192 4635386448 4848636672 4932233856 5056785216 5114909184 5214809754 5297584512 5463811584 5656742784 5688883368 5754272832 5779183104 5959782576 6170992128 6180515264 6277388544 6501580992 6576311808 6742380288 6953079672 7063446016 7542323712 7585177824 7672363776 7822214631 7946376768 8485114176 8631409248 8668774656 8939673864 9270772896 9697273344 9864467712 10113570432 10429619508 10595169024 11313485568 11377766736 11508545664 11919565152 12361030528 12554777088 13003161984 13484760576 13906159344 15170355648 15344727552 15644429262 15892753536 16970228352 17262818496 17337549312 17879347728 18541545792 19728935424 20227140864 20859239016 21190338048 22626971136 22755533472 23017091328 23839130304 24722061056 26006323968 27812318688 30340711296 31288858524 31785507072 33940456704 34525636992 35758695456 37083091584 40454281728 41718478032 45511066944 46034182656 47678260608 49444122112 52012647936 55624637376 60681422592 62577717048 63571014144 67880913408 69051273984 71517390912 74166183168 83436956064 91022133888 95356521216 111249274752 121362845184 125155434096 138102547968 143034781824 148332366336 166873912128 182044267776 190713042432 222498549504 250310868192 286069563648 333747824256 364088535552 444997099008 500621736384 572139127296 667495648512 1001243472768 1334991297024 2002486945536 4004973891072
- Sum of all divisors σ(n): 15700041561600
- Sum of proper divisors (its aliquot sum) s(n): 11695067670528
- 4004973891072 is an abundant number, because the sum of its proper divisors (11695067670528) is greater than itself. Its abundance is 7690093779456
Bases of 4004973891072
- Binary: 1110100100011110110000101111001110000000002
- Hexadecimal: 0x3A47B0BCE00
- Base-36: 1F3UY1S00
Squares and roots of 4004973891072
- 4004973891072 squared (40049738910722) is 16039815868168396121309184
- 4004973891072 cubed (40049738910723) is 64239043769616791199697075179249205248
-
The
square root of 4004973891072 is 2001243.0864520183 -
The
cube root of 4004973891072 is 15880.5874276327
Scales and comparisons
How big is 4004973891072?- 4,004,973,891,072 seconds is equal to 127,345 years, 40 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 4,004,973,891,072 would take you about three hundred eighteen thousand, three hundred sixty-four 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 4004973891072 cubic inches would be around 1323.4 feet tall.
Recreational maths with 4004973891072
- 4004973891072 backwards is 2701983794004
- 4004973891072 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4004973891072's digits is 54
- More coming soon!
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The information we have on file for 4004973891072 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!
Keywords: Divisors of 4004973891072, math, Factors of 4004973891072, curriculum, school, college, exams, university, Prime factorization of 4004973891072, STEM, science, technology, engineering, physics, economics, calculator, four trillion, four billion, nine hundred seventy-three million, eight hundred ninety-one thousand and seventy-two.