13407378940800
13,407,378,940,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13407378940800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
13407378940800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13407378940800:
27 × 34 × 52 × 132 × 19 × 89 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 89 × 181)See below for interesting mathematical facts about the number 13407378940800 from the Numbermatics database.
Names of 13407378940800
- Cardinal: 13407378940800 can be written as Thirteen trillion, four hundred seven billion, three hundred seventy-eight million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34073789408 × 1013
Factors of 13407378940800
Divisors of 13407378940800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 81 89 90 95 96 100 104 108 114 117 120 128 130 135 144 150 152 156 160 162 169 171 178 180 181 190 192 195 200 208 216 225 228 234 240 247 260 267 270 285 288 300 304 312 320 324 325 338 342 351 356 360 362 380 384 390 400 405 416 432 445 450 456 468 475 480 494 507 513 520 534 540 543 570 576 585 600 608 624 640 648 650 675 676 684 702 712 720 724 741 760 780 800 801 810 832 845 855 864 890 900 905 912 936 950 960 975 988 1014 1026 1040 1053 1068 1080 1086 1140 1152 1157 1170 1200 1216 1235 1248 1296 1300 1335 1350 1352 1368 1404 1424 1425 1440 1448 1482 1520 1521 1539 1560 1600 1602 1620 1629 1664 1690 1691 1710 1728 1755 1780 1800 1810 1824 1872 1900 1920 1950 1976 2025 2028 2052 2080 2106 2136 2160 2172 2223 2225 2280 2314 2340 2353 2400 2403 2432 2470 2496 2535 2565 2592 2600 2670 2700 2704 2715 2736 2808 2848 2850 2880 2896 2925 2964 3040 3042 3078 3120 3200 3204 3211 3240 3258 3380 3382 3420 3439 3456 3471 3510 3560 3600 3620 3648 3705 3744 3800 3900 3952 4005 4050 4056 4104 4160 4212 4225 4272 4275 4320 4344 4446 4450 4525 4560 4563 4628 4680 4706 4800 4806 4887 4940 4992 5070 5073 5130 5184 5200 5265 5340 5400 5408 5430 5472 5616 5696 5700 5760 5785 5792 5850 5928 6080 6084 6156 6175 6240 6408 6422 6480 6516 6669 6675 6760 6764 6840 6878 6942 7020 7059 7120 7200 7209 7240 7296 7410 7488 7600 7605 7695 7800 7904 8010 8100 8112 8145 8208 8320 8424 8450 8455 8544 8550 8640 8688 8775 8892 8900 9050 9120 9126 9256 9360 9412 9600 9612 9633 9774 9880 10140 10146 10260 10317 10368 10400 10413 10530 10680 10800 10816 10860 10944 11115 11232 11392 11400 11570 11584 11700 11765 11856 12015 12160 12168 12312 12350 12480 12675 12816 12825 12844 12960 13032 13338 13350 13520 13528 13575 13680 13689 13756 13884 14040 14118 14240 14400 14418 14480 14661 14820 14976 15041 15200 15210 15219 15390 15600 15808 16020 16055 16109 16200 16224 16290 16416 16848 16900 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2940214680 2962956672 3012894144 3015604800 3086413200 3103559940 3136228992 3138431400 3173344128 3183138400 3222927630 3266905200 3305566800 3310463936 3347660160 3392555400 3437789472 3528257616 3581030700 3618725760 3675268350 3703695840 3724271928 3766117680 3819766080 3862684800 3879449925 3898627200 3920286240 3964334400 3966680160 4115217600 4138079920 4175452800 4184575200 4189805919 4297236840 4355873600 4407422400 4410322020 4523407200 4583719296 4629619800 4655339910 4704343488 4707647100 4774707600 4900357800 4938261120 4958350200 4965695904 5021490240 5156684208 5172599900 5227048320 5288906880 5371546050 5428088640 5512902525 5579433600 5586407892 5697993600 5729649120 5794027200 5880429360 6025788288 6031209600 6172826400 6207119880 6276862800 6366276800 6445855260 6533810400 6611133600 6620927872 6785110800 6875578944 6983009865 7056515232 7162061400 7350536700 7407391680 7448543856 7532235360 7639532160 7758899850 7840572480 7928668800 7933360320 8057319075 8230435200 8276159840 8369150400 8379611838 8594473680 8711747200 8814844800 8820644040 9046814400 9259239600 9310679820 9408686976 9415294200 9549415200 9800715600 9916700400 9931391808 10042980480 10313368416 10345199800 10743092100 10856177280 11025805050 11172815784 11459298240 11588054400 11638349775 11760858720 12345652800 12414239760 12553725600 12732553600 12891710520 13067620800 13222267200 13570221600 13751157888 13966019730 14113030464 14324122800 14701073400 14814783360 14897087712 15064470720 15517799700 15681144960 15866720640 16114638150 16552319680 16738300800 16759223676 17188947360 17641288080 18093628800 18518479200 18621359640 18830588400 19098830400 19601431200 19833400800 19862783616 20626736832 20690399600 20949029595 21486184200 22051610100 22345631568 22918596480 23276699550 23521717440 24691305600 24828479520 25107451200 25783421040 26135241600 26444534400 27140443200 27932039460 28226060928 28648245600 29402146800 29794175424 30128941440 31035599400 32229276300 33104639360 33518447352 34377894720 34915049325 35282576160 37036958400 37242719280 37661176800 38197660800 39202862400 39666801600 41253473664 41380799200 41898059190 42972368400 44103220200 44691263136 46553399100 47043434880 49656959040 50214902400 51566842080 54280886400 55864078920 57296491200 58804293600 59588350848 62071198800 64458552600 67036894704 68755789440 69830098650 70565152320 74073916800 74485438560 75322353600 78405724800 79333603200 82761598400 83796118380 85944736800 88206440400 89382526272 93106798200 99313918080 103133684160 104745147975 111728157840 114592982400 117608587200 124142397600 128917105200 134073789408 139660197300 141130304640 148970877120 150644707200 165523196800 167592236760 171889473600 176412880800 178765052544 186213596400 206267368320 209490295950 223456315680 235217174400 248284795200 257834210400 268147578816 279320394600 297941754240 335184473520 343778947200 352825761600 372427192800 418980591900 446912631360 496569590400 515668420800 536295157632 558640789200 670368947040 705651523200 744854385600 837961183800 893825262720 1031336841600 1117281578400 1340737894080 1489708771200 1675922367600 2234563156800 2681475788160 3351844735200 4469126313600 6703689470400 13407378940800
- Sum of all divisors σ(n): 57343239954000
- Sum of proper divisors (its aliquot sum) s(n): 43935861013200
- 13407378940800 is an abundant number, because the sum of its proper divisors (43935861013200) is greater than itself. Its abundance is 30528482072400
Bases of 13407378940800
- Binary: 110000110001101001100000111100100011100000002
- Hexadecimal: 0xC31A60F2380
- Base-36: 4R39J9400
Squares and roots of 13407378940800
- 13407378940800 squared (134073789408002) is 179757810062207329904640000
- 13407378940800 cubed (134073789408003) is 2410081077072364892926868408205312000000
-
The
square root of 13407378940800 is 3661608.7913374907 -
The
cube root of 13407378940800 is 23756.4364107597
Scales and comparisons
How big is 13407378940800?- 13,407,378,940,800 seconds is equal to 426,313 years, 9 weeks, 2 days.
-
To count from 1 to 13,407,378,940,800 would take you about one million, sixty-five thousand, seven hundred eighty-two 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 13407378940800 cubic inches would be around 1979.7 feet tall.
Recreational maths with 13407378940800
- 13407378940800 backwards is 00804987370431
- 13407378940800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13407378940800's digits is 54
- More coming soon!
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"Number 13407378940800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13407378940800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13407378940800/
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The information we have on file for 13407378940800 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!
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