34013305797120000
34,013,305,797,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 34013305797120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6240 divisors.
34013305797120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, two hundred forty divisors.
Prime factorization of 34013305797120000:
212 × 35 × 54 × 133 × 41 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 41 × 607)See below for interesting mathematical facts about the number 34013305797120000 from the Numbermatics database.
Names of 34013305797120000
- Cardinal: 34013305797120000 can be written as Thirty-four quadrillion, thirteen trillion, three hundred five billion, seven hundred ninety-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 3.401330579712 × 1016
Factors of 34013305797120000
Divisors of 34013305797120000
- Number of divisors d(n): 6240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 72 75 78 80 81 82 90 96 100 104 108 117 120 123 125 128 130 135 144 150 156 160 162 164 169 180 192 195 200 205 208 216 225 234 240 243 246 250 256 260 270 288 300 312 320 324 325 328 338 351 360 369 375 384 390 400 405 410 416 432 450 468 480 486 492 500 507 512 520 533 540 576 585 600 607 615 624 625 640 648 650 656 675 676 702 720 738 750 768 780 800 810 820 832 845 864 900 936 960 972 975 984 1000 1014 1024 1025 1040 1053 1066 1080 1107 1125 1152 1170 1200 1214 1215 1230 1248 1250 1280 1296 1300 1312 1350 1352 1404 1440 1476 1500 1521 1536 1560 1599 1600 1620 1625 1640 1664 1690 1728 1755 1800 1821 1845 1872 1875 1920 1944 1950 1968 2000 2025 2028 2048 2050 2080 2106 2132 2160 2197 2214 2250 2304 2340 2400 2428 2430 2460 2496 2500 2535 2560 2592 2600 2624 2665 2700 2704 2808 2880 2925 2952 3000 3035 3042 3072 3075 3120 3159 3198 3200 3240 3250 3280 3321 3328 3375 3380 3456 3510 3600 3642 3690 3744 3750 3840 3888 3900 3936 4000 4050 4056 4096 4100 4160 4212 4225 4264 4320 4394 4428 4500 4563 4608 4680 4797 4800 4856 4860 4875 4920 4992 5000 5070 5120 5125 5184 5200 5248 5265 5330 5400 5408 5463 5535 5616 5625 5760 5850 5904 6000 6070 6075 6084 6144 6150 6240 6318 6396 6400 6480 6500 6560 6591 6642 6656 6750 6760 6912 6929 7020 7200 7284 7380 7488 7500 7605 7680 7776 7800 7872 7891 7995 8000 8100 8112 8125 8200 8320 8424 8450 8528 8640 8775 8788 8856 9000 9105 9126 9216 9225 9360 9594 9600 9712 9720 9750 9840 9963 9984 10000 10125 10140 10240 10250 10368 10400 10496 10530 10660 10800 10816 10926 10985 11070 11232 11250 11520 11700 11808 12000 12140 12150 12168 12288 12300 12480 12636 12675 12792 12800 12960 13000 13120 13182 13284 13312 13325 13500 13520 13689 13824 13858 14040 14391 14400 14568 14625 14760 14976 15000 15175 15210 15360 15375 15552 15600 15744 15782 15795 15990 16000 16200 16224 16250 16389 16400 16605 16640 16848 16875 16900 17056 17280 17550 17576 17712 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36339001920000 37792561996800 39367252080000 40252432896000 40881377160000 41479641216000 41991735552000 42516632246400 43606802304000 44288158590000 45351074396160 46088490240000 47240702496000 48452002560000 50315541120000 50390082662400 51849551520000 52328162764800 52489669440000 53145790308000 54421289275392 54508502880000 55306188288000 56035100160000 56688842995200 58142403072000 59050878120000 62987603328000 63814832640000 65410203456000 66432237885000 67087388160000 68026611594240 69132735360000 69986225920000 70861053744000 72678003840000 75585123993600 78734504160000 81762754320000 82959282432000 83983471104000 85033264492800 87213604608000 88576317180000 90702148792320 92176980480000 94481404992000 96904005120000 100631082240000 103699103040000 104656325529600 104979338880000 106291580616000 109017005760000 113377685990400 118101756240000 125975206656000 130820406912000 132864475770000 136053223188480 138265470720000 139972451840000 141722107488000 145356007680000 151170247987200 157469008320000 163525508640000 165918564864000 170066528985600 174427209216000 177152634360000 188962809984000 201262164480000 207398206080000 209958677760000 212583161232000 218034011520000 226755371980800 236203512480000 251950413312000 261640813824000 265728951540000 272106446376960 276530941440000 283444214976000 290712015360000 314938016640000 327051017280000 340133057971200 354305268720000 377925619968000 414796412160000 419917355520000 425166322464000 436068023040000 453510743961600 472407024960000 523281627648000 531457903080000 566888429952000 629876033280000 654102034560000 680266115942400 708610537440000 755851239936000 829592824320000 850332644928000 872136046080000 944814049920000 1062915806160000 1133776859904000 1259752066560000 1308204069120000 1360532231884800 1417221074880000 1700665289856000 1889628099840000 2125831612320000 2267553719808000 2616408138240000 2834442149760000 3401330579712000 3779256199680000 4251663224640000 5668884299520000 6802661159424000 8503326449280000 11337768599040000 17006652898560000 34013305797120000
- Sum of all divisors σ(n): 141520440006865920
- Sum of proper divisors (its aliquot sum) s(n): 107507134209745920
- 34013305797120000 is an abundant number, because the sum of its proper divisors (107507134209745920) is greater than itself. Its abundance is 73493828412625920
Bases of 34013305797120000
- Binary: 11110001101011011101011111000011010110010010000000000002
- Hexadecimal: 0x78D6EBE1AC9000
- Base-36: 9AWPKYY2O00
Squares and roots of 34013305797120000
- 34013305797120000 squared (340133057971200002) is 1156904971248396998600294400000000
- 34013305797120000 cubed (340133057971200003) is 39350162565280048555998602041258672128000000000000
-
The
square root of 34013305797120000 is 184426966.0248197001 -
The
cube root of 34013305797120000 is 324003.4350253103
Scales and comparisons
How big is 34013305797120000?- 34,013,305,797,120,000 seconds is equal to 1,081,517,914 years, 14 weeks, 6 days.
-
To count from 1 to 34,013,305,797,120,000 would take you about three billion, two hundred forty-four million, five hundred fifty-three thousand, seven hundred forty-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 34013305797120000 cubic inches would be around 27000.3 feet tall.
Recreational maths with 34013305797120000
- 34013305797120000 backwards is 00002179750331043
- 34013305797120000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34013305797120000's digits is 45
- More coming soon!
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The information we have on file for 34013305797120000 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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