13435117830144000
13,435,117,830,144,000 is an even composite number composed of five prime numbers multiplied together.
13435117830144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 13435117830144000:
219 × 34 × 53 × 17 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 53 × 53 × 53)See below for interesting mathematical facts about the number 13435117830144000 from the Numbermatics database.
Names of 13435117830144000
- Cardinal: 13435117830144000 can be written as Thirteen quadrillion, four hundred thirty-five trillion, one hundred seventeen billion, eight hundred thirty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3435117830144 × 1016
Factors of 13435117830144000
Divisors of 13435117830144000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 53 54 60 64 68 72 75 80 81 85 90 96 100 102 106 108 120 125 128 135 136 144 150 153 159 160 162 170 180 192 200 204 212 216 225 240 250 255 256 265 270 272 288 300 306 318 320 324 340 360 375 384 400 405 408 424 425 432 450 459 477 480 500 510 512 530 540 544 576 600 612 636 640 648 675 680 720 750 765 768 795 800 810 816 848 850 864 900 901 918 954 960 1000 1020 1024 1060 1080 1088 1125 1152 1200 1224 1272 1275 1280 1296 1325 1350 1360 1377 1431 1440 1500 1530 1536 1590 1600 1620 1632 1696 1700 1728 1800 1802 1836 1908 1920 2000 2025 2040 2048 2120 2125 2160 2176 2250 2295 2304 2385 2400 2448 2544 2550 2560 2592 2650 2700 2703 2720 2754 2809 2862 2880 3000 3060 3072 3180 3200 3240 3264 3375 3392 3400 3456 3600 3604 3672 3816 3825 3840 3975 4000 4050 4080 4096 4240 4250 4293 4320 4352 4500 4505 4590 4608 4770 4800 4896 5088 5100 5120 5184 5300 5400 5406 5440 5508 5618 5724 5760 6000 6120 6144 6360 6375 6400 6480 6528 6625 6750 6784 6800 6885 6912 7155 7200 7208 7344 7632 7650 7680 7950 8000 8100 8109 8160 8192 8427 8480 8500 8586 8640 8704 9000 9010 9180 9216 9540 9600 9792 10125 10176 10200 10240 10368 10600 10800 10812 10880 11016 11236 11448 11475 11520 11925 12000 12240 12288 12720 12750 12800 12960 13056 13250 13500 13515 13568 13600 13770 13824 14045 14310 14400 14416 14688 15264 15300 15360 15900 16000 16200 16218 16320 16384 16854 16960 17000 17172 17280 17408 18000 18020 18360 18432 19080 19125 19200 19584 19875 20250 20352 20400 20480 20736 21200 21465 21600 21624 21760 22032 22472 22525 22896 22950 23040 23850 24000 24327 24480 24576 25281 25440 25500 25600 25920 26112 26500 27000 27030 27136 27200 27540 27648 28090 28620 28800 28832 29376 30528 30600 30720 31800 32000 32400 32436 32640 32768 33708 33920 34000 34344 34425 34560 34816 35775 36000 36040 36720 36864 38160 38250 38400 39168 39750 40500 40545 40704 40800 40960 41472 42135 42400 42930 43200 43248 43520 44064 44944 45050 45792 45900 46080 47700 47753 48000 48654 48960 49152 50562 50880 51000 51200 51840 52224 53000 54000 54060 54272 54400 55080 55296 56180 57240 57375 57600 57664 58752 59625 61056 61200 61440 63600 64000 64800 64872 65280 65536 67416 67575 67840 68000 68688 68850 69120 69632 70225 71550 72000 72080 72981 73440 73728 75843 76320 76500 76800 78336 79500 81000 81090 81408 81600 81920 82944 84270 84800 85860 86400 86496 87040 88128 89888 90100 91584 91800 92160 95400 95506 96000 97308 97920 98304 101124 101760 102000 102400 103680 104448 106000 107325 108000 108120 108544 108800 110160 110592 112360 112625 114480 114750 115200 115328 117504 119250 121635 122112 122400 122880 126405 127200 128000 129600 129744 130560 131072 134832 135150 135680 136000 137376 137700 138240 139264 140450 143100 143259 144000 144160 145962 146880 147456 148877 151686 152640 153000 153600 156672 159000 162000 162180 162816 163200 163840 165888 168540 169600 171720 172125 172800 172992 174080 176256 178875 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1749364300800 1756224552960 1760366592000 1829400576000 1863917568000 1865988587520 1877724364800 1943738112000 1951360614400 1975752622080 1980412416000 1990387826688 2027942313984 2058075648000 2073320652800 2099237160960 2107469463552 2112439910400 2186705376000 2195280691200 2239186305024 2332485734400 2347155456000 2391441408000 2439200768000 2469690777600 2485223424000 2487984783360 2534927892480 2591650816000 2624046451200 2634336829440 2640549888000 2744100864000 2798982881280 2816586547200 2915607168000 2927040921600 2982268108800 2985581740032 3087113472000 3109980979200 3129540608000 3161204195328 3168659865600 3280058064000 3292921036800 3317313044480 3358779457536 3379903856640 3498728601600 3512449105920 3520733184000 3658801152000 3727835136000 3731977175040 3887476224000 3951505244160 3960824832000 3980775653376 4116151296000 4146641305600 4198474321920 4224879820800 4373410752000 4390561382400 4478372610048 4664971468800 4694310912000 4782882816000 4878401536000 4939381555200 4970446848000 4975969566720 5069855784960 5183301632000 5248092902400 5268673658880 5281099776000 5488201728000 5597965762560 5633173094400 5831214336000 5854081843200 5971163480064 6174226944000 6219961958400 6322408390656 6337319731200 6560116128000 6585842073600 6634626088960 6717558915072 6997457203200 7041466368000 7317602304000 7455670272000 7463954350080 7774952448000 7903010488320 7921649664000 8232302592000 8293282611200 8396948643840 8449759641600 8746821504000 8781122764800 8956745220096 9329942937600 9388621824000 9756803072000 9878763110400 9951939133440 10139711569920 10366603264000 10496185804800 10537347317760 10562199552000 10976403456000 11195931525120 11662428672000 11942326960128 12348453888000 12439923916800 12674639462400 13120232256000 13171684147200 13435117830144 13994914406400 14082932736000 14635204608000 14911340544000 14927908700160 15549904896000 15806020976640 15843299328000 16464605184000 16586565222400 16793897287680 16899519283200 17493643008000 17562245529600 17913490440192 18659885875200 19757526220800 19903878266880 20733206528000 20992371609600 21124399104000 21952806912000 22391863050240 23324857344000 24696907776000 24879847833600 25349278924800 26240464512000 26343368294400 26870235660288 27989828812800 28165865472000 29270409216000 29855817400320 31099809792000 31612041953280 31686598656000 32929210368000 33173130444800 33587794575360 34987286016000 35826980880384 37319771750400 39515052441600 41466413056000 41984743219200 42248798208000 43905613824000 44783726100480 46649714688000 49393815552000 49759695667200 50698557849600 52480929024000 52686736588800 53740471320576 55979657625600 59711634800640 62199619584000 63373197312000 65858420736000 67175589150720 69974572032000 74639543500800 79030104883200 82932826112000 83969486438400 84497596416000 87811227648000 89567452200960 93299429376000 98787631104000 99519391334400 104961858048000 107480942641152 111959315251200 124399239168000 126746394624000 131716841472000 134351178301440 139949144064000 149279087001600 158060209766400 165865652224000 167938972876800 179134904401920 186598858752000 197575262208000 209923716096000 223918630502400 248798478336000 253492789248000 263433682944000 268702356602880 279898288128000 298558174003200 335877945753600 373197717504000 395150524416000 419847432192000 447837261004800 497596956672000 537404713205760 559796576256000 671755891507200 746395435008000 790301048832000 839694864384000 895674522009600 1119593152512000 1343511783014400 1492790870016000 1679389728768000 2239186305024000 2687023566028800 3358779457536000 4478372610048000 6717558915072000 13435117830144000
- Sum of all divisors σ(n): 54060748271244000
- Sum of proper divisors (its aliquot sum) s(n): 40625630441100000
- 13435117830144000 is an abundant number, because the sum of its proper divisors (40625630441100000) is greater than itself. Its abundance is 27190512610956000
Bases of 13435117830144000
- Binary: 1011111011101100101011001000011100100000000000000000002
- Hexadecimal: 0x2FBB2B21C80000
- Base-36: 3OACNXBLS00
Squares and roots of 13435117830144000
- 13435117830144000 squared (134351178301440002) is 180502391109853222835060736000000
- 13435117830144000 cubed (134351178301440003) is 2425070893183614867114106507454771625984000000000
-
The
square root of 13435117830144000 is 115909955.6989993849 -
The
cube root of 13435117830144000 is 237728.0856987157
Scales and comparisons
How big is 13435117830144000?- 13,435,117,830,144,000 seconds is equal to 427,195,189 years, 23 weeks, 3 days.
-
To count from 1 to 13,435,117,830,144,000 would take you about one billion, two hundred eighty-one million, five hundred eighty-five thousand, five hundred sixty-eight 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 13435117830144000 cubic inches would be around 19810.7 feet tall.
Recreational maths with 13435117830144000
- 13435117830144000 backwards is 00044103871153431
- 13435117830144000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13435117830144000's digits is 45
- More coming soon!
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MLA style:
"Number 13435117830144000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 13435117830144000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13435117830144000/
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The information we have on file for 13435117830144000 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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