2002252064400
2,002,252,064,400 is an even composite number composed of seven prime numbers multiplied together.
2002252064400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 2002252064400:
24 × 32 × 52 × 7 × 17 × 19 × 245989
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 19 × 245989)See below for interesting mathematical facts about the number 2002252064400 from the Numbermatics database.
Names of 2002252064400
- Cardinal: 2002252064400 can be written as Two trillion, two billion, two hundred fifty-two million, sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.0022520644 × 1012
Factors of 2002252064400
Divisors of 2002252064400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 25 28 30 34 35 36 38 40 42 45 48 50 51 56 57 60 63 68 70 72 75 76 80 84 85 90 95 100 102 105 112 114 119 120 126 133 136 140 144 150 152 153 168 170 171 175 180 190 200 204 210 225 228 238 240 252 255 266 272 280 285 300 304 306 315 323 336 340 342 350 357 360 380 399 400 408 420 425 450 456 475 476 504 510 525 532 560 570 595 600 612 630 646 665 680 684 700 714 720 760 765 798 816 840 850 855 900 912 950 952 969 1008 1020 1050 1064 1071 1140 1190 1197 1200 1224 1260 1275 1292 1330 1360 1368 1400 1425 1428 1520 1530 1575 1596 1615 1680 1700 1710 1785 1800 1900 1904 1938 1995 2040 2100 2128 2142 2261 2280 2380 2394 2448 2520 2550 2584 2660 2736 2800 2850 2856 2907 2975 3060 3150 3192 3230 3325 3400 3420 3570 3600 3800 3825 3876 3990 4080 4200 4275 4284 4522 4560 4760 4788 4845 5040 5100 5168 5320 5355 5700 5712 5814 5950 5985 6120 6300 6384 6460 6650 6783 6800 6840 7140 7600 7650 7752 7980 8075 8400 8550 8568 8925 9044 9520 9576 9690 9975 10200 10640 10710 11305 11400 11628 11900 11970 12240 12600 12920 13300 13566 13680 14280 14535 15300 15504 15960 16150 17100 17136 17850 18088 19152 19380 19950 20349 20400 21420 22610 22800 23256 23800 23940 24225 25200 25840 26600 26775 27132 28560 29070 29925 30600 31920 32300 33915 34200 35700 36176 38760 39900 40698 42840 45220 46512 47600 47880 48450 53200 53550 54264 56525 58140 59850 61200 64600 67830 68400 71400 72675 77520 79800 81396 85680 90440 95760 96900 101745 107100 108528 113050 116280 119700 129200 135660 142800 145350 159600 162792 169575 180880 193800 203490 214200 226100 232560 239400 245989 271320 290700 325584 339150 387600 406980 428400 452200 478800 491978 508725 542640 581400 678300 737967 813960 904400 983956 1017450 1162800 1229945 1356600 1475934 1627920 1721923 1967912 2034900 2213901 2459890 2713200 2951868 3443846 3689835 3935824 4069800 4181813 4427802 4673791 4919780 5165769 5903736 6149725 6887692 7379670 8139600 8363626 8609615 8855604 9347582 9839560 10331538 11069505 11807472 12299450 12545439 13775384 14021373 14759340 15497307 16727252 17219230 17711208 18449175 18695164 19679120 20663076 20909065 22139010 23368955 24598900 25090878 25828845 27550768 28042746 29272691 29518680 30994614 32716537 33454504 34438460 35422416 36898350 37390328 37636317 41326152 41818130 42064119 43048075 44278020 46737910 49197800 50181756 51657690 55347525 56085492 58545382 59037360 61989228 62727195 65433074 66909008 68876920 70106865 73796700 74780656 75272634 77486535 79454447 82652304 83636260 84128238 86096150 87818073 88556040 93475820 98149611 98395600 100363512 103315380 104545325 110695050 112170984 116844775 117090764 123978456 125454390 129144225 130866148 137753840 140213730 146363455 147593400 150545268 154973070 158908894 163582685 167272520 168256476 172192300 175636146 177112080 186951640 188181585 196299222 200727024 206630760 209090650 210320595 221390100 224341968 233689550 234181528 238363341 247956912 250908780 258288450 261732296 263454219 280427460 292726910 294448833 295186800 301090536 309946140 313635975 317817788 327165370 334545040 336512952 344384600 350534325 351272292 373903280 376363170 387432675 392598444 397272235 413261520 418181300 420641190 439090365 442780200 467379100 468363056 476726682 490748055 501817560 516576900 523464592 526908438 556181129 560854920 585453820 588897666 602181072 619892280 627271950 635635576 654330740 673025904 688769200 701068650 702544584 715090023 731817275 752726340 774865350 785196888 794544470 817913425 836362600 841282380 878180730 885560400 934758200 940907925 953453364 981496110 1003635120 1033153800 1051602975 1053816876 1112362258 1121709840 1170907640 1177795332 1191816705 1239784560 1254543900 1271271152 1308661480 1317271095 1402137300 1405089168 1430180046 1463634550 1472244165 1505452680 1549730700 1570393776 1589088940 1635826850 1668543387 1672725200 1682564760 1756361460 1869516400 1881815850 1906906728 1962992220 1986361175 2066307600 2103205950 2107633752 2195451825 2224724516 2341815280 2355590664 2383633410 2453740275 2509087800 2617322960 2634542190 2780905645 2804274600 2860360092 2927269100 2944488330 3010905360 3099461400 3178177880 3271653700 3337086774 3365129520 3512722920 3575450115 3763631700 3813813456 3925984440 3972722350 4206411900 4215267504 4390903650 4449449032 4711181328 4767266820 4907480550 5005630161 5018175600 5269084380 5561811290 5608549200 5720720184 5854538200 5888976660 5959083525 6198922800 6356355760 6543307400 6586355475 6674173548 7025445840 7150900230 7361220825 7527263400 7851968880 7945444700 8342716935 8412823800 8781807300 8898898064 9534533640 9814961100 10011260322 10538168760 11123622580 11441440368 11709076400 11777953320 11918167050 13086614800 13172710950 13348347096 13904528225 14301800460 14722441650 15054526800 15890889400 16685433870 16825647600 17563614600 17877250575 19069067280 19629922200 20022520644 21076337520 22247245160 23555906640 23836334100 25028150805 26345421900 26696694192 27809056450 28603600920 29444883300 31781778800 33370867740 35127229200 35754501150 39259844400 40045041288 41713584675 44494490320 47672668200 50056301610 52690843800 55618112900 57207201840 58889766600 66741735480 71509002300 80090082576 83427169350 95345336400 100112603220 105381687600 111236225800 117779533200 125140754025 133483470960 143018004600 166854338700 200225206440 222472451600 250281508050 286036009200 333708677400 400450412880 500563016100 667417354800 1001126032200 2002252064400
- Sum of all divisors σ(n): 8850680841600
- Sum of proper divisors (its aliquot sum) s(n): 6848428777200
- 2002252064400 is an abundant number, because the sum of its proper divisors (6848428777200) is greater than itself. Its abundance is 4846176712800
Bases of 2002252064400
- Binary: 111010010001011111000010111100110100100002
- Hexadecimal: 0x1D22F85E690
- Base-36: PJTL6KK0
Squares and roots of 2002252064400
- 2002252064400 squared (20022520644002) is 4009013329394061747360000
- 2002252064400 cubed (20022520644003) is 8027055214986377334752631249984000000
-
The
square root of 2002252064400 is 1415009.5633599087 -
The
cube root of 2002252064400 is 12603.9377639471
Scales and comparisons
How big is 2002252064400?- 2,002,252,064,400 seconds is equal to 63,665 years, 21 weeks, 6 days, 17 hours.
-
To count from 1 to 2,002,252,064,400 would take you about one hundred fifty-nine thousand, one hundred sixty-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 2002252064400 cubic inches would be around 1050.3 feet tall.
Recreational maths with 2002252064400
- 2002252064400 backwards is 0044602522002
- The number of decimal digits it has is: 13
- The sum of 2002252064400's digits is 27
- More coming soon!
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