1348728313680
1,348,728,313,680 is an even composite number composed of seven prime numbers multiplied together.
1348728313680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1348728313680:
24 × 32 × 5 × 11 × 19 × 101 × 88741
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 19 × 101 × 88741)See below for interesting mathematical facts about the number 1348728313680 from the Numbermatics database.
Names of 1348728313680
- Cardinal: 1348728313680 can be written as One trillion, three hundred forty-eight billion, seven hundred twenty-eight million, three hundred thirteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.34872831368 × 1012
Factors of 1348728313680
Divisors of 1348728313680
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 30 33 36 38 40 44 45 48 55 57 60 66 72 76 80 88 90 95 99 101 110 114 120 132 144 152 165 171 176 180 190 198 202 209 220 228 240 264 285 303 304 330 342 360 380 396 404 418 440 456 495 505 528 570 606 627 660 684 720 760 792 808 836 855 880 909 912 990 1010 1045 1111 1140 1212 1254 1320 1368 1515 1520 1584 1616 1672 1710 1818 1881 1919 1980 2020 2090 2222 2280 2424 2508 2640 2736 3030 3135 3333 3344 3420 3636 3762 3838 3960 4040 4180 4444 4545 4560 4848 5016 5555 5757 6060 6270 6666 6840 7272 7524 7676 7920 8080 8360 8888 9090 9405 9595 9999 10032 11110 11514 12120 12540 13332 13680 14544 15048 15352 16665 16720 17271 17776 18180 18810 19190 19998 21109 22220 23028 24240 25080 26664 28785 30096 30704 33330 34542 36360 37620 38380 39996 42218 44440 46056 49995 50160 53328 57570 63327 66660 69084 72720 75240 76760 79992 84436 86355 88741 88880 92112 99990 105545 115140 126654 133320 138168 150480 153520 159984 168872 172710 177482 189981 199980 211090 230280 253308 266223 266640 276336 316635 337744 345420 354964 379962 399960 422180 443705 460560 506616 532446 633270 690840 709928 759924 798669 799920 844360 887410 949905 976151 1013232 1064892 1266540 1331115 1381680 1419856 1519848 1597338 1686079 1688720 1774820 1899810 1952302 2129784 2533080 2662230 2928453 3039696 3194676 3372158 3549640 3799620 3904604 3993345 4259568 4880755 5058237 5066160 5324460 5856906 6389352 6744316 7099280 7599240 7809208 7986690 8430395 8785359 8962841 9761510 10116474 10648920 11713812 12778704 13488632 14642265 15174711 15198480 15618416 15973380 16860790 17570718 17925682 18546869 19523020 20232948 21297840 23427624 25291185 26888523 26977264 29284530 30349422 31946760 33721580 35141436 35851364 37093738 39046040 40465896 43926795 44814205 46855248 50582370 53777046 55640607 58569060 60698844 63893520 67443160 70282872 71702728 74187476 75873555 78092080 80665569 80931792 87853590 89628410 92734345 98591251 101164740 107554092 111281214 117138120 121397688 134442615 134886320 140565744 143405456 148374952 151747110 161331138 166921821 170293979 175707180 179256820 185468690 197182502 202329480 215108184 222562428 234276240 242795376 268885230 278203035 295773753 296749904 303494220 322662276 333843642 340587958 351414360 358513640 370937380 394365004 403327845 404658960 430216368 445124856 492956255 510881937 537770460 556406070 591547506 606988440 645324552 667687284 681175916 702828720 717027280 741874760 788730008 806655690 834609105 851469895 887321259 890249712 985912510 1021763874 1075540920 1112812140 1183095012 1213976880 1290649104 1335374568 1362351832 1478868765 1483749520 1532645811 1577460016 1613311380 1669218210 1702939790 1774642518 1873233769 1971825020 2043527748 2151081840 2225624280 2366190024 2554409685 2670749136 2724703664 2957737530 3065291622 3226622760 3338436420 3405879580 3549285036 3746467538 3943650040 4087055496 4436606295 4451248560 4732380048 5108819370 5619701307 5915475060 6130583244 6453245520 6676872840 6811759160 7098570072 7492935076 7663229055 7887300080 8174110992 8873212590 9366168845 10217638740 11239402614 11830950120 12261166488 13353745680 13623518320 14197140144 14985870152 15326458110 16859103921 17746425180 18732337690 20435277480 22478805228 23661900240 24522332976 28098506535 29971740304 30652916220 33718207842 35492850360 37464675380 40870554960 44957610456 56197013070 61305832440 67436415684 70985700720 74929350760 84295519605 89915220912 112394026140 122611664880 134872831368 149858701520 168591039210 224788052280 269745662736 337182078420 449576104560 674364156840 1348728313680
- Sum of all divisors σ(n): 5252873258880
- Sum of proper divisors (its aliquot sum) s(n): 3904144945200
- 1348728313680 is an abundant number, because the sum of its proper divisors (3904144945200) is greater than itself. Its abundance is 2555416631520
Bases of 1348728313680
- Binary: 100111010000001100111100011010111010100002
- Hexadecimal: 0x13A0678D750
- Base-36: H7LI0J80
Squares and roots of 1348728313680
- 1348728313680 squared (13487283136802) is 1819068064122096475142400
- 1348728313680 cubed (13487283136803) is 2453428602592537288545081189868032000
-
The
square root of 1348728313680 is 1161347.6282664033 -
The
cube root of 1348728313680 is 11048.6230853415
Scales and comparisons
How big is 1348728313680?- 1,348,728,313,680 seconds is equal to 42,885 years, 20 weeks, 1 day, 9 hours, 48 minutes.
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To count from 1 to 1,348,728,313,680 would take you about one hundred seven thousand, two hundred thirteen 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 1348728313680 cubic inches would be around 920.7 feet tall.
Recreational maths with 1348728313680
- 1348728313680 backwards is 0863138278431
- The number of decimal digits it has is: 13
- The sum of 1348728313680's digits is 54
- More coming soon!
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