13107066808456400
13,107,066,808,456,400 is an even composite number composed of eight prime numbers multiplied together.
13107066808456400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13107066808456400:
24 × 52 × 13 × 172 × 31 × 37 × 59 × 3592
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 31 × 37 × 59 × 359 × 359)See below for interesting mathematical facts about the number 13107066808456400 from the Numbermatics database.
Names of 13107066808456400
- Cardinal: 13107066808456400 can be written as Thirteen quadrillion, one hundred seven trillion, sixty-six billion, eight hundred eight million, four hundred fifty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31070668084564 × 1016
Factors of 13107066808456400
Divisors of 13107066808456400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 34 37 40 50 52 59 62 65 68 74 80 85 100 104 118 124 130 136 148 155 170 185 200 208 221 236 248 260 272 289 295 296 310 325 340 359 370 400 403 425 442 472 481 496 520 527 578 590 592 620 629 650 680 718 740 767 775 806 850 884 925 944 962 1003 1040 1054 1105 1147 1156 1180 1240 1258 1300 1360 1436 1445 1475 1480 1534 1550 1612 1700 1768 1795 1829 1850 1924 2006 2015 2108 2183 2210 2294 2312 2360 2405 2480 2516 2600 2635 2872 2890 2950 2960 3068 3100 3145 3224 3400 3536 3590 3658 3700 3757 3835 3848 4012 4030 4216 4366 4420 4588 4624 4667 4720 4810 5015 5032 5200 5270 5525 5735 5744 5780 5900 6103 6136 6200 6290 6448 6800 6851 7180 7225 7316 7400 7514 7670 7696 8024 8060 8177 8432 8732 8840 8959 8975 9145 9176 9334 9620 10030 10064 10075 10540 10693 10915 11050 11129 11470 11560 11800 12025 12206 12272 12400 12580 13039 13175 13283 13702 14360 14450 14632 14800 14911 15028 15340 15725 16048 16120 16354 17051 17464 17680 17918 17950 18290 18352 18668 18785 19175 19240 19499 20060 20150 21080 21181 21386 21830 22100 22258 22940 23120 23335 23600 23777 24050 24412 25075 25160 26078 26350 26566 27404 28379 28675 28720 28900 29264 29822 30056 30515 30680 31093 31450 32240 32708 34102 34255 34928 35836 35900 36580 37111 37336 37570 38350 38480 38998 40120 40300 40885 42160 42362 42772 43660 44200 44516 44795 45725 45880 46670 47554 48100 48824 50150 50320 52156 52700 53132 53465 54575 54808 55645 56758 57350 57800 59644 60112 61030 61360 62186 62900 65195 65416 66415 67673 68204 68510 71672 71800 73160 74222 74555 74672 75140 76700 77996 79339 80240 80600 81770 84724 85255 85544 87320 88400 89032 89590 91450 91760 93340 93925 95108 96200 97495 97648 100300 103751 104312 105400 105905 106264 106930 109150 109616 111290 113516 114700 115600 116467 116675 118885 119288 122060 124372 125800 128881 130390 130832 132830 135346 136408 137020 139009 141895 143344 143600 144677 146320 148444 149110 150280 152575 153400 155465 155992 158678 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5041179541714 5209486012900 5285107584055 5449923828880 5553841867990 5669146543450 5713629820600 5930799460840 6004153370800 6217773628300 6504747795760 6533931609400 6812404786100 7084900977544 7166247571600 7301987079920 7413499326050 7710039299092 8130934744700 8456172134488 8544372104600 8856126221930 8886146988784 9070634469520 9127483849900 9637549123865 10082359083428 10418972025800 10570215168110 11107683735980 11338293086900 11427259641200 11861598921680 12435547256600 12602948854285 13067863218800 13624809572200 13884604669975 14169801955088 14826998652100 15420078598184 16261869489400 16912344268976 17088744209200 17712252443860 18254967699800 19275098247730 20164718166856 20837944051600 21140430336220 22140315554825 22215367471960 22676586173800 24871094513200 25205897708570 26425537920275 27249619144400 27769209339950 29653997304200 30840157196368 32523738978800 32767667021141 35424504887720 36509935399600 38550196495460 40329436333712 42280860672440 44280631109650 44430734943920 45353172347600 48187745619325 50411795417140 52851075840550 55538418679900 59307994608400 63014744271425 65535334042282 70849009775440 77100392990920 84561721344880 88561262219300 96375491238650 100823590834280 105702151681100 111076837359800 126029488542850 131070668084564 154200785981840 163838335105705 177122524438600 192750982477300 201647181668560 211404303362200 222153674719600 252058977085700 262141336169128 327676670211410 354245048877200 385501964954600 422808606724400 504117954171400 524282672338256 655353340422820 771003929909200 819191675528525 1008235908342800 1310706680845640 1638383351057050 2621413361691280 3276766702114100 6553533404228200 13107066808456400
- Sum of all divisors σ(n): 38947082798830080
- Sum of proper divisors (its aliquot sum) s(n): 25840015990373680
- 13107066808456400 is an abundant number, because the sum of its proper divisors (25840015990373680) is greater than itself. Its abundance is 12732949181917280
Bases of 13107066808456400
- Binary: 1011101001000011001110110011010010101001010100110100002
- Hexadecimal: 0x2E90CECD2A54D0
- Base-36: 3L22FD7BGSW
Squares and roots of 13107066808456400
- 13107066808456400 squared (131070668084564002) is 171795200321339439446550700960000
- 13107066808456400 cubed (131070668084564003) is 2251731167983946430297869902805355475598144000000
-
The
square root of 13107066808456400 is 114486098.7563835193 -
The
cube root of 13107066808456400 is 235777.2172744691
Scales and comparisons
How big is 13107066808456400?- 13,107,066,808,456,400 seconds is equal to 416,764,181 years, 35 weeks, 5 days, 21 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,107,066,808,456,400 would take you about one billion, two hundred fifty million, two hundred ninety-two thousand, five hundred forty-five 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 13107066808456400 cubic inches would be around 19648.1 feet tall.
Recreational maths with 13107066808456400
- 13107066808456400 backwards is 00465480866070131
- 13107066808456400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13107066808456400's digits is 59
- More coming soon!
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"Number 13107066808456400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 13107066808456400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/13107066808456400/
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The information we have on file for 13107066808456400 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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