61328414400
61,328,414,400 is an even composite number composed of six prime numbers multiplied together.
61328414400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 61328414400:
26 × 3 × 52 × 112 × 23 × 4591
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 23 × 4591)See below for interesting mathematical facts about the number 61328414400 from the Numbermatics database.
Names of 61328414400
- Cardinal: 61328414400 can be written as Sixty-one billion, three hundred twenty-eight million, four hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 6.13284144 × 1010
Factors of 61328414400
Divisors of 61328414400
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 121 132 138 150 160 165 176 184 192 200 220 230 240 242 253 264 275 276 300 320 330 345 352 363 368 400 440 460 480 484 506 528 550 552 575 600 605 660 690 704 726 736 759 800 825 880 920 960 968 1012 1056 1100 1104 1150 1200 1210 1265 1320 1380 1452 1472 1518 1600 1650 1725 1760 1815 1840 1936 2024 2112 2200 2208 2300 2400 2420 2530 2640 2760 2783 2904 3025 3036 3300 3450 3520 3630 3680 3795 3872 4048 4400 4416 4591 4600 4800 4840 5060 5280 5520 5566 5808 6050 6072 6325 6600 6900 7260 7360 7590 7744 8096 8349 8800 9075 9182 9200 9680 10120 10560 11040 11132 11616 12100 12144 12650 13200 13773 13800 13915 14520 15180 16192 16698 17600 18150 18364 18400 18975 19360 20240 22080 22264 22955 23232 24200 24288 25300 26400 27546 27600 27830 29040 30360 33396 36300 36728 36800 37950 38720 40480 41745 44528 45910 48400 48576 50501 50600 52800 55092 55200 55660 58080 60720 66792 68865 69575 72600 73456 75900 80960 83490 89056 91820 96800 101002 101200 105593 110184 110400 111320 114775 116160 121440 133584 137730 139150 145200 146912 151503 151800 166980 178112 183640 193600 202004 202400 208725 211186 220368 222640 229550 242880 252505 267168 275460 278300 290400 293824 303006 303600 316779 333960 344325 367280 404008 404800 417450 422372 440736 445280 459100 505010 527965 534336 550920 555511 556600 580800 606012 607200 633558 667920 688650 734560 757515 808016 834900 844744 881472 890560 918200 1010020 1055930 1101840 1111022 1113200 1161523 1212024 1214400 1262525 1267116 1335840 1377300 1469120 1515030 1583895 1616032 1666533 1669800 1689488 1836400 2020040 2111860 2203680 2222044 2226400 2323046 2424048 2525050 2534232 2639825 2671680 2754600 2777555 3030060 3167790 3232064 3333066 3339600 3378976 3484569 3672800 3787575 4040080 4223720 4407360 4444088 4452800 4646092 4848096 5050100 5068464 5279650 5509200 5555110 5807615 6060120 6335580 6666132 6679200 6757952 6969138 7345600 7575150 7919475 8080160 8332665 8447440 8888176 9292184 9696192 10100200 10136928 10559300 11018400 11110220 11615230 12120240 12671160 12776753 13332264 13358400 13887775 13938276 15150300 15838950 16160320 16665330 16894880 17422845 17776352 18584368 20200400 20273856 21118600 22036800 22220440 23230460 24240480 25342320 25553506 26664528 27775550 27876552 29038075 30300600 31677900 33330660 33789760 34845690 35552704 37168736 38330259 40400800 41663325 42237200 44440880 46460920 48480960 50684640 51107012 53329056 55551100 55753104 58076150 60601200 63355800 63883765 66661320 69691380 74337472 76660518 80801600 83326650 84474400 87114225 88881760 92921840 101369280 102214024 106658112 111102200 111506208 116152300 121202400 126711600 127767530 133322640 139382760 153321036 166653300 168948800 174228450 177763520 185843680 191651295 204428048 222204400 223012416 232304600 242404800 253423200 255535060 266645280 278765520 306642072 319418825 333306600 348456900 371687360 383302590 408856096 444408800 464609200 506846400 511070120 533290560 557531040 613284144 638837650 666613200 696913800 766605180 817712192 888817600 929218400 958256475 1022140240 1115062080 1226568288 1277675300 1333226400 1393827600 1533210360 1858436800 1916512950 2044280480 2453136576 2555350600 2666452800 2787655200 3066420720 3833025900 4088560960 5110701200 5575310400 6132841440 7666051800 10221402400 12265682880 15332103600 20442804800 30664207200 61328414400
- Sum of all divisors σ(n): 230828892672
- Sum of proper divisors (its aliquot sum) s(n): 169500478272
- 61328414400 is an abundant number, because the sum of its proper divisors (169500478272) is greater than itself. Its abundance is 108172063872
Bases of 61328414400
- Binary: 1110010001110111010101010110110000002
- Hexadecimal: 0xE477556C0
- Base-36: S69CREO
Squares and roots of 61328414400
- 61328414400 squared (613284144002) is 3761174412818127360000
- 61328414400 cubed (613284144003) is 230666863019986786566057984000000
-
The
square root of 61328414400 is 247645.7437550663 -
The
cube root of 61328414400 is 3943.5490366191
Scales and comparisons
How big is 61328414400?- 61,328,414,400 seconds is equal to 1,950 years, 2 weeks, 5 days, 14 hours, 40 minutes.
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To count from 1 to 61,328,414,400 would take you about three thousand, nine hundred 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 61328414400 cubic inches would be around 328.6 feet tall.
Recreational maths with 61328414400
- 61328414400 backwards is 00441482316
- 61328414400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 61328414400's digits is 33
- More coming soon!
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