2004512040960
2,004,512,040,960 is an even composite number composed of seven prime numbers multiplied together.
2004512040960 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 2004512040960:
211 × 3 × 5 × 11 × 13 × 181 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 181 × 2521)See below for interesting mathematical facts about the number 2004512040960 from the Numbermatics database.
Names of 2004512040960
- Cardinal: 2004512040960 can be written as Two trillion, four billion, five hundred twelve million, forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.00451204096 × 1012
Factors of 2004512040960
Divisors of 2004512040960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 128 130 132 143 156 160 165 176 181 192 195 208 220 240 256 260 264 286 312 320 330 352 362 384 390 416 429 440 480 512 520 528 543 572 624 640 660 704 715 724 768 780 832 858 880 905 960 1024 1040 1056 1086 1144 1248 1280 1320 1408 1430 1448 1536 1560 1664 1716 1760 1810 1920 1991 2048 2080 2112 2145 2172 2288 2353 2496 2521 2560 2640 2715 2816 2860 2896 3072 3120 3328 3432 3520 3620 3840 3982 4160 4224 4290 4344 4576 4706 4992 5042 5120 5280 5430 5632 5720 5792 5973 6144 6240 6656 6864 7040 7059 7240 7563 7680 7964 8320 8448 8580 8688 9152 9412 9955 9984 10084 10240 10560 10860 11264 11440 11584 11765 11946 12480 12605 13312 13728 14080 14118 14480 15126 15360 15928 16640 16896 17160 17376 18304 18824 19910 19968 20168 21120 21720 22528 22880 23168 23530 23892 24960 25210 25883 26624 27456 27731 28160 28236 28960 29865 30252 30720 31856 32773 33280 33792 34320 34752 35295 36608 37648 37815 39820 39936 40336 42240 43440 45760 46336 47060 47784 49920 50420 51766 54912 55462 56320 56472 57920 59730 60504 63712 65546 66560 67584 68640 69504 70590 73216 75296 75630 77649 79640 79872 80672 83193 84480 86880 91520 92672 94120 95568 98319 99840 100840 103532 109824 110924 112640 112944 115840 119460 121008 127424 129415 131092 133120 137280 138655 139008 141180 146432 150592 151260 155298 159280 161344 163865 166386 168960 173760 183040 185344 188240 191136 196638 199680 201680 207064 219648 221848 225888 231680 238920 242016 254848 258830 262184 274560 277310 278016 282360 292864 301184 302520 310596 318560 322688 327730 332772 337920 347520 360503 366080 370688 376480 382272 388245 393276 399360 403360 414128 415965 439296 443696 451776 456301 463360 477840 484032 491595 509696 517660 524368 549120 554620 556032 564720 602368 605040 621192 637120 645376 655460 665544 695040 721006 732160 752960 764544 776490 786552 806720 828256 831930 878592 887392 903552 912602 926720 955680 968064 983190 1019392 1035320 1048736 1081509 1098240 1109240 1112064 1129440 1204736 1210080 1242384 1274240 1290752 1310920 1331088 1368903 1390080 1442012 1464320 1505920 1529088 1552980 1573104 1613440 1656512 1663860 1774784 1802515 1807104 1825204 1853440 1911360 1936128 1966380 2038784 2070640 2097472 2163018 2196480 2218480 2258880 2281505 2409472 2420160 2484768 2548480 2581504 2621840 2662176 2737806 2780160 2884024 3011840 3058176 3105960 3146208 3226880 3313024 3327720 3549568 3605030 3614208 3650408 3822720 3872256 3932760 4077568 4141280 4194944 4326036 4392960 4436960 4517760 4563010 4818944 4840320 4969536 5019311 5096960 5163008 5243680 5324352 5407545 5475612 5560320 5768048 5931913 6023680 6116352 6211920 6292416 6453760 6626048 6655440 6844515 7099136 7210060 7228416 7300816 7645440 7744512 7865520 8282560 8389888 8652072 8873920 9035520 9126020 9680640 9939072 10038622 10193920 10487360 10648704 10815090 10951224 11536096 11863826 12047360 12232704 12423840 12584832 12907520 13252096 13310880 13689030 14198272 14420120 14456832 14601632 15057933 15290880 15489024 15731040 16565120 16779776 17304144 17747840 17795739 18071040 18252040 19361280 19878144 20077244 20387840 20974720 21297408 21630180 21902448 23072192 23727652 24094720 24847680 25096555 25169664 25815040 26504192 26621760 27378060 28396544 28840240 29203264 29659565 30115866 30581760 31462080 33130240 33559552 34608288 35495680 35591478 36142080 36504080 38722560 39756288 40154488 41949440 42594816 43260360 43804896 46144384 47455304 49695360 50193110 50339328 53008384 53243520 54756120 56793088 57680480 58406528 59319130 60231732 61163520 62924160 65251043 66260480 67119104 69216576 70991360 71182956 72284160 73008160 75289665 77445120 79512576 80308976 83898880 85189632 86520720 87609792 88978695 92288768 94910608 99390720 100386220 100678656 106487040 109512240 115360960 116813056 118638260 120463464 125848320 130502086 132520960 138433152 141982720 142365912 146016320 150579330 159025152 160617952 167797760 170379264 173041440 175219584 177957390 184577536 189821216 195753129 198781440 200772440 201357312 212974080 219024480 230721920 233626112 237276520 240926928 251696640 261004172 265041920 276866304 283965440 284731824 292032640 301158660 321235904 326255215 335595520 346082880 350439168 355914780 369155072 379642432 391506258 397562880 401544880 425948160 438048960 461443840 467252224 474553040 481853856 503393280 522008344 553732608 569463648 584065280 602317320 642471808 652510430 692165760 700878336 711829560 738310144 759284864 783012516 795125760 803089760 851896320 876097920 922887680 934504448 949106080 963707712 978765645 1006786560 1044016688 1107465216 1138927296 1168130560 1204634640 1284943616 1305020860 1384331520 1401756672 1423659120 1518569728 1566025032 1606179520 1752195840 1845775360 1898212160 1927415424 1957531290 2088033376 2214930432 2277854592 2336261120 2409269280 2569887232 2610041720 2768663040 2803513344 2847318240 3037139456 3132050064 3212359040 3504391680 3691550720 3796424320 3854830848 3915062580 4176066752 4555709184 4672522240 4818538560 5139774464 5220083440 5537326080 5694636480 6074278912 6264100128 6424718080 7008783360 7592848640 7709661696 7830125160 8352133504 9111418368 9637077120 10279548928 10440166880 11074652160 11389272960 12148557824 12528200256 12849436160 14017566720 15185697280 15419323392 15660250320 16704267008 18222836736 19274154240 20880333760 22778545920 25056400512 25698872320 30371394560 30838646784 31320500640 33408534016 36445673472 38548308480 41760667520 45557091840 50112801024 51397744640 60742789120 62641001280 66817068032 77096616960 83521335040 91114183680 100225602048 125282002560 133634136064 154193233920 167042670080 182228367360 200451204096 250564005120 334085340160 400902408192 501128010240 668170680320 1002256020480 2004512040960
- Sum of all divisors σ(n): 7578633404160
- Sum of proper divisors (its aliquot sum) s(n): 5574121363200
- 2004512040960 is an abundant number, because the sum of its proper divisors (5574121363200) is greater than itself. Its abundance is 3569609322240
Bases of 2004512040960
- Binary: 111010010101101100011101001101000000000002
- Hexadecimal: 0x1D2B63A6800
- Base-36: PKUYPPMO
Squares and roots of 2004512040960
- 2004512040960 squared (20045120409602) is 4018068522353624717721600
- 2004512040960 cubed (20045120409603) is 8054266734460195665774028297076736000
-
The
square root of 2004512040960 is 1415807.9110387821 -
The
cube root of 2004512040960 is 12608.6780751379
Scales and comparisons
How big is 2004512040960?- 2,004,512,040,960 seconds is equal to 63,737 years, 14 weeks, 4 days, 20 hours, 16 minutes.
-
To count from 1 to 2,004,512,040,960 would take you about one hundred fifty-nine thousand, three hundred forty-three 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 2004512040960 cubic inches would be around 1050.7 feet tall.
Recreational maths with 2004512040960
- 2004512040960 backwards is 0690402154002
- 2004512040960 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2004512040960's digits is 33
- More coming soon!
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