13234078988390400
13,234,078,988,390,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13234078988390400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2496 divisors.
13234078988390400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 13234078988390400:
212 × 3 × 52 × 7 × 17 × 193 × 601 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 193 × 601 × 3121)See below for interesting mathematical facts about the number 13234078988390400 from the Numbermatics database.
Names of 13234078988390400
- Cardinal: 13234078988390400 can be written as Thirteen quadrillion, two hundred thirty-four trillion, seventy-eight billion, nine hundred eighty-eight million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.32340789883904 × 1016
Factors of 13234078988390400
Divisors of 13234078988390400
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 140 150 160 168 170 175 192 193 200 204 210 224 238 240 255 256 272 280 300 320 336 340 350 357 384 386 400 408 420 425 448 476 480 510 512 525 544 560 579 595 600 601 640 672 680 700 714 768 772 800 816 840 850 896 952 960 965 1020 1024 1050 1088 1120 1158 1190 1200 1202 1275 1280 1344 1351 1360 1400 1428 1536 1544 1600 1632 1680 1700 1785 1792 1803 1904 1920 1930 2040 2048 2100 2176 2240 2316 2380 2400 2404 2550 2560 2688 2702 2720 2800 2856 2895 2975 3005 3072 3088 3121 3200 3264 3281 3360 3400 3570 3584 3606 3808 3840 3860 4053 4080 4096 4200 4207 4352 4480 4632 4760 4800 4808 4825 5100 5120 5376 5404 5440 5600 5712 5790 5950 6010 6144 6176 6242 6400 6528 6562 6720 6755 6800 7140 7168 7212 7616 7680 7720 8106 8160 8400 8414 8704 8925 8960 9015 9264 9363 9520 9600 9616 9650 9843 10200 10217 10240 10752 10808 10880 11200 11424 11580 11900 12020 12288 12352 12484 12621 12800 13056 13124 13440 13510 13600 14280 14336 14424 14475 15025 15232 15360 15440 15605 16212 16320 16405 16800 16828 17408 17850 17920 18030 18528 18726 19040 19200 19232 19300 19686 20265 20400 20434 20480 21035 21504 21616 21760 21847 22400 22848 22967 23160 23800 24040 24704 24968 25242 25600 26112 26248 26880 27020 27200 28560 28672 28848 28950 30050 30464 30651 30720 30880 31210 32424 32640 32810 33600 33656 33775 34816 35700 35840 36060 37056 37452 38080 38400 38464 38600 39372 40530 40800 40868 42070 43008 43232 43520 43694 44800 45075 45696 45934 46320 46815 47600 48080 49215 49408 49936 50484 51085 51200 52224 52496 53057 53760 54040 54400 57120 57696 57900 60100 60928 61302 61440 61760 62420 63105 64848 65280 65541 65620 67200 67312 67550 68901 69632 71400 71519 71680 72120 74112 74904 76160 76800 76928 77200 78025 78744 81060 81600 81736 82025 84140 86016 86464 87040 87388 89600 90150 91392 91868 92640 93630 95200 96160 98430 98816 99872 100968 101325 102170 102400 104448 104992 105175 106114 107520 108080 108800 109235 114240 114835 115392 115800 115993 120200 121856 122604 123520 124840 126210 129696 130560 131082 131240 134400 134624 135100 137802 142800 143038 143360 144240 148224 149808 152320 153255 153600 153856 154400 156050 157488 159171 162120 163200 163472 164050 168280 172928 174080 174776 179200 180300 182784 183736 185280 187260 190400 192320 196860 197632 199744 201936 202650 204340 208896 209984 210350 212228 214557 215040 216160 217600 218470 228480 229670 230784 231600 231986 234075 240400 243712 245208 246075 247040 249680 252420 255425 259392 261120 262164 262480 265285 268800 269248 270200 275604 285600 286076 288480 296448 299616 304640 306510 307200 307712 308800 312100 314976 315525 318342 324240 326400 326944 327705 328100 336560 344505 345856 347979 348160 349552 357595 358400 360600 365568 367472 370560 371399 374520 380800 384640 393720 395264 399488 403872 405300 408680 419968 420700 424456 429114 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612235334400 615424060100 629145661440 646195263105 647649945600 648729362176 653051023360 672258406400 685703574528 688128067200 689274947312 695067173760 706722150400 714274556800 734003271680 738508872120 741404985344 760229721300 786432076800 787742796928 806710087680 810911702720 816313779200 848066580480 857129468160 861593684140 868833967200 880803926016 914271432704 917504089600 923136090150 926756231680 973094043264 979576535040 984678496160 1008387609600 1013639628400 1033912420968 1048576102400 1060083225600 1071411835200 1076992105175 1101004907520 1112107478016 1142839290880 1158445289600 1181614195392 1216367554080 1224470668800 1230848120200 1292390526210 1295299891200 1297458724352 1344516812800 1371407149056 1376256134400 1378549894624 1390134347520 1413444300800 1428549113600 1468006543360 1477017744240 1482809970688 1520459442600 1572864153600 1575485593856 1621823405440 1632627558400 1714258936320 1723187368280 1737667934400 1835008179200 1846272180300 1853512463360 1946188086528 1959153070080 1969356992320 2016775219200 2027279256800 2067824841936 2120166451200 2142823670400 2153984210350 2202009815040 2224214956032 2285678581760 2316890579200 2363228390784 2432735108160 2448941337600 2461696240400 2584781052420 2594917448704 2742814298112 2752512268800 2757099789248 2780268695040 2857098227200 2954035488480 3040918885200 3145728307200 3150971187712 3230976315525 3243646810880 3265255116800 3428517872640 3446374736560 3475335868800 3670016358400 3692544360600 3707024926720 3892376173056 3938713984640 4033550438400 4054558513600 4135649683872 4240332902400 4285647340800 4307968420700 4404019630080 4448429912064 4571357163520 4633781158400 4726456781568 4865470216320 4897882675200 4923392480800 5169562104840 5189834897408 5505024537600 5514199578496 5560537390080 5714196454400 5908070976960 6081837770400 6301942375424 6461952631050 6487293621760 6857035745280 6892749473120 6950671737600 7340032716800 7385088721200 7414049853440 7784752346112 7877427969280 8109117027200 8271299367744 8571294681600 8615936841400 9267562316800 9452913563136 9730940432640 9795765350400 9846784961600 10339124209680 10379669794816 11010049075200 11028399156992 11121074780160 11428392908800 11816141953920 12163675540800 12603884750848 12923905262100 12974587243520 13714071490560 13785498946240 13901343475200 14770177442400 15569504692224 15754855938560 16218234054400 16542598735488 17142589363200 17231873682800 18535124633600 18905827126272 19461880865280 19693569923200 20678248419360 22020098150400 22056798313984 22242149560320 22856785817600 23632283907840 24327351081600 25207769501696 25847810524200 25949174487040 27570997892480 27802686950400 29540354884800 31139009384448 31509711877120 32436468108800 33085197470976 34285178726400 34463747365600 37070249267200 37811654252544 38923761730560 39387139846400 41356496838720 44113596627968 47264567815680 48654702163200 51695621048400 51898348974080 55141995784960 55605373900800 59080709769600 63019423754240 64872936217600 66170394941952 68570357452800 68927494731200 75623308505088 77847523461120 78774279692800 82712993677440 88227193255936 94529135631360 97309404326400 103391242096800 110283991569920 111210747801600 118161419539200 126038847508480 129745872435200 132340789883904 137854989462400 155695046922240 157548559385600 165425987354880 176454386511872 189058271262720 194618808652800 206782484193600 220567983139840 236322839078400 259491744870400 264681579767808 275709978924800 315097118771200 330851974709760 378116542525440 389237617305600 413564968387200 441135966279680 472645678156800 529363159535616 551419957849600 630194237542400 661703949419520 778475234611200 827129936774400 882271932559360 945291356313600 1102839915699200 1323407898839040 1654259873548800 1890582712627200 2205679831398400 2646815797678080 3308519747097600 4411359662796800 6617039494195200 13234078988390400
- Sum of all divisors σ(n): 53327622634707456
- Sum of proper divisors (its aliquot sum) s(n): 40093543646317056
- 13234078988390400 is an abundant number, because the sum of its proper divisors (40093543646317056) is greater than itself. Its abundance is 26859464657926656
Bases of 13234078988390400
- Binary: 1011110000010001010011001000010000100001010000000000002
- Hexadecimal: 0x2F045321085000
- Base-36: 3MB37YFW6IO
Squares and roots of 13234078988390400
- 13234078988390400 squared (132340789883904002) is 175140846670956273017982812160000
- 13234078988390400 cubed (132340789883904003) is 2317827798937007149154419009538027383947264000000
-
The
square root of 13234078988390400 is 115039467.0901704065 -
The
cube root of 13234078988390400 is 236536.3590200567
Scales and comparisons
How big is 13234078988390400?- 13,234,078,988,390,400 seconds is equal to 420,802,776 years, 7 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,234,078,988,390,400 would take you about one billion, two hundred sixty-two million, four hundred eight thousand, three hundred twenty-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 13234078988390400 cubic inches would be around 19711.4 feet tall.
Recreational maths with 13234078988390400
- 13234078988390400 backwards is 00409388987043231
- The number of decimal digits it has is: 17
- The sum of 13234078988390400's digits is 69
- More coming soon!
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"Number 13234078988390400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13234078988390400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13234078988390400/
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Numbermatics. 2024. "Number 13234078988390400 - Facts about the integer". https://numbermatics.com/n/13234078988390400/
The information we have on file for 13234078988390400 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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