13488406364160000
13,488,406,364,160,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13488406364160000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 10640 divisors.
13488406364160000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of ten thousand, six hundred forty divisors.
Prime factorization of 13488406364160000:
218 × 36 × 54 × 7 × 13 × 17 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 17 × 73)See below for interesting mathematical facts about the number 13488406364160000 from the Numbermatics database.
Names of 13488406364160000
- Cardinal: 13488406364160000 can be written as Thirteen quadrillion, four hundred eighty-eight trillion, four hundred six billion, three hundred sixty-four million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 1.348840636416 × 1016
Factors of 13488406364160000
Divisors of 13488406364160000
- Number of divisors d(n): 10640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 50 51 52 54 56 60 63 64 65 68 70 72 73 75 78 80 81 84 85 90 91 96 100 102 104 105 108 112 117 119 120 125 126 128 130 135 136 140 144 146 150 153 156 160 162 168 170 175 180 182 189 192 195 200 204 208 210 216 219 221 224 225 234 238 240 243 250 252 255 256 260 270 272 273 280 288 292 300 306 312 315 320 324 325 336 340 350 351 357 360 364 365 375 378 384 390 400 405 408 416 420 425 432 438 442 448 450 455 459 468 476 480 486 500 504 510 511 512 520 525 540 544 546 560 567 576 584 585 595 600 612 624 625 630 640 648 650 657 663 672 675 680 700 702 714 720 728 729 730 750 756 765 768 780 800 810 816 819 832 840 850 864 875 876 884 896 900 910 918 936 945 949 952 960 972 975 1000 1008 1020 1022 1024 1040 1050 1053 1071 1080 1088 1092 1095 1105 1120 1125 1134 1152 1168 1170 1190 1200 1215 1224 1241 1248 1250 1260 1275 1280 1296 1300 1314 1326 1344 1350 1360 1365 1377 1400 1404 1428 1440 1456 1458 1460 1500 1512 1530 1533 1536 1547 1560 1575 1600 1620 1625 1632 1638 1664 1680 1700 1701 1728 1750 1752 1755 1768 1785 1792 1800 1820 1825 1836 1872 1875 1890 1898 1904 1920 1944 1950 1971 1989 2000 2016 2025 2040 2044 2048 2080 2100 2106 2125 2142 2160 2176 2184 2190 2210 2240 2250 2268 2275 2295 2304 2336 2340 2380 2400 2430 2448 2457 2482 2496 2500 2520 2550 2555 2560 2592 2600 2625 2628 2652 2688 2700 2720 2730 2754 2800 2808 2835 2847 2856 2880 2912 2916 2920 2925 2975 3000 3024 3060 3066 3072 3094 3120 3150 3159 3200 3213 3240 3250 3264 3276 3285 3315 3328 3360 3375 3400 3402 3456 3500 3504 3510 3536 3570 3584 3600 3640 3645 3650 3672 3723 3744 3750 3780 3796 3808 3825 3840 3888 3900 3942 3978 4000 4032 4050 4080 4088 4095 4096 4131 4160 4200 4212 4250 4284 4320 4352 4368 4375 4380 4420 4480 4500 4536 4550 4590 4599 4608 4641 4672 4680 4725 4745 4760 4800 4860 4875 4896 4914 4964 4992 5000 5040 5100 5103 5110 5120 5184 5200 5250 5256 5265 5304 5355 5376 5400 5440 5460 5475 5508 5525 5600 5616 5625 5670 5694 5712 5760 5824 5832 5840 5850 5913 5950 5967 6000 6048 6075 6120 6132 6144 6188 6205 6240 6300 6318 6375 6400 6426 6480 6500 6528 6552 6570 6630 6643 6656 6720 6750 6800 6804 6825 6885 6912 7000 7008 7020 7072 7140 7168 7200 7280 7290 7300 7344 7371 7446 7488 7500 7560 7592 7616 7650 7665 7680 7735 7776 7800 7875 7884 7956 8000 8064 8100 8125 8160 8176 8190 8192 8262 8320 8400 8424 8500 8505 8541 8568 8640 8687 8704 8736 8750 8760 8775 8840 8925 8960 9000 9072 9100 9125 9180 9198 9216 9282 9344 9360 9450 9477 9490 9520 9600 9639 9720 9750 9792 9828 9855 9928 9945 9984 10000 10080 10125 10200 10206 10220 10240 10368 10400 10500 10512 10530 10608 10625 10710 10752 10800 10880 10920 10950 11016 11050 11169 11200 11232 11250 11340 11375 11388 11424 11475 11520 11648 11664 11680 11700 11826 11900 11934 12000 12096 12150 12240 12264 12285 12288 12376 12393 12410 12480 12600 12636 12750 12775 12800 12852 12960 13000 13056 13104 13125 13140 13260 13286 13312 13440 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38538303897600 39671783424000 40144066560000 41502788812800 41630883840000 42151269888000 42820337664000 43232071680000 44079759360000 44961354547200 46193172480000 46834744320000 48172879872000 49408081920000 49589729280000 49957060608000 51878486016000 52689087360000 52895711232000 53525422080000 53953625456640 55507845120000 56201693184000 56673976320000 57642762240000 59948472729600 60216099840000 61033512960000 61590896640000 62446325760000 64230506496000 64848107520000 66119639040000 67442031820800 69171314688000 70252116480000 71367229440000 74112122880000 74935590912000 77076607795200 79343566848000 80288133120000 83261767680000 84302539776000 86464143360000 88159518720000 89922709094400 92386344960000 93669488640000 96345759744000 99179458560000 99914121216000 103756972032000 105378174720000 107050844160000 107907250913280 112403386368000 113347952640000 115285524480000 120432199680000 124892651520000 128461012992000 129696215040000 132239278080000 134884063641600 140504232960000 148224245760000 149871181824000 158687133696000 160576266240000 166523535360000 168605079552000 172928286720000 179845418188800 184772689920000 187338977280000 192691519488000 198358917120000 207513944064000 210756349440000 214101688320000 224806772736000 240864399360000 249785303040000 259392430080000 264478556160000 269768127283200 281008465920000 299742363648000 321152532480000 337210159104000 345856573440000 374677954560000 385383038976000 396717834240000 421512698880000 449613545472000 481728798720000 499570606080000 518784860160000 539536254566400 562016931840000 642305064960000 674420318208000 749355909120000 793435668480000 843025397760000 899227090944000 963457597440000 1037569720320000 1124033863680000 1348840636416000 1498711818240000 1686050795520000 1926915194880000 2248067727360000 2697681272832000 3372101591040000 4496135454720000 6744203182080000 13488406364160000
- Sum of all divisors σ(n): 66767102973958464
- Sum of proper divisors (its aliquot sum) s(n): 53278696609798464
- 13488406364160000 is an abundant number, because the sum of its proper divisors (53278696609798464) is greater than itself. Its abundance is 39790290245638464
Bases of 13488406364160000
- Binary: 1011111110101110100010010101011110110000000000000000002
- Hexadecimal: 0x2FEBA255EC0000
- Base-36: 3OT8OC8W000
Squares and roots of 13488406364160000
- 13488406364160000 squared (134884063641600002) is 181937106244711990532505600000000
- 13488406364160000 cubed (134884063641600003) is 2454041621748027291444910202390839296000000000000
-
The
square root of 13488406364160000 is 116139598.6051269251 -
The
cube root of 13488406364160000 is 238041.9762376409
Scales and comparisons
How big is 13488406364160000?- 13,488,406,364,160,000 seconds is equal to 428,889,600 years.
-
To count from 1 to 13,488,406,364,160,000 would take you about one billion, two hundred eighty-six million, six hundred sixty-eight thousand, eight 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 13488406364160000 cubic inches would be around 19836.8 feet tall.
Recreational maths with 13488406364160000
- 13488406364160000 backwards is 00006146360488431
- 13488406364160000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13488406364160000's digits is 54
- More coming soon!
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"Number 13488406364160000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13488406364160000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13488406364160000/
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The information we have on file for 13488406364160000 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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