680844224102400

Names of 680844224102400

• Cardinal: 680844224102400 can be written as Six hundred eighty trillion, eight hundred forty-four billion, two hundred twenty-four million, one hundred two thousand, four hundred.

Scientific notation

• Scientific notation: 6.808442241024 × 10¹⁴

Factors of 680844224102400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 123

Divisors of 680844224102400

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 113 120 128 144 150 160 180 192 200 225 226 240 256 288 300 320 339 360 384 400 450 452 480 512 565 576 600 640 678 720 768 800 900 904 960 1017 1024 1130 1152 1200 1280 1356 1440 1536 1600 1695 1800 1808 1920 2034 2048 2260 2304 2400 2560 2712 2825 2880 3072 3200 3390 3600 3616 3840 4068 4096 4520 4608 4800 5085 5120 5424 5650 5760 6144 6400 6780 7200 7232 7680 8136 8192 8475 9040 9216 9600 10170 10240 10848 11300 11520 12288 12769 12800 13560 14400 14464 15360 16272 16384 16950 18080 18432 19200 20340 20480 21696 22600 23040 24576 25425 25538 25600 27120 28800 28928 30720 32544 32768 33900 36160 36864 38307 38400 40680 40960 43392 45200 46080 49152 50850 51076 51200 54240 57600 57856 61440 63845 65088 65536 67800 72320 73728 76614 76800 81360 81920 86784 90400 92160 98304 101700 102152 102400 108480 114921 115200 115712 122880 127690 130176 131072 135600 144640 147456 153228 153600 162720 163840 173568 180800 184320 191535 196608 203400 204304 204800 216960 229842 230400 231424 245760 255380 260352 262144 271200 289280 294912 306456 307200 319225 325440 327680 347136 361600 368640 383070 393216 406800 408608 409600 433920 459684 460800 462848 491520 510760 520704 524288 542400 574605 578560 589824 612912 614400 638450 650880 655360 694272 723200 737280 766140 786432 813600 817216 819200 867840 919368 921600 925696 957675 983040 1021520 1041408 1048576 1084800 1149210 1157120 1179648 1225824 1228800 1276900 1301760 1310720 1388544 1442897 1446400 1474560 1532280 1572864 1627200 1634432 1638400 1735680 1838736 1843200 1851392 1915350 1966080 2043040 2082816 2097152 2169600 2298420 2314240 2359296 2451648 2457600 2553800 2603520 2621440 2777088 2873025 2885794 2892800 2949120 3064560 3145728 3254400 3268864 3276800 3471360 3677472 3686400 3702784 3830700 3932160 4086080 4165632 4328691 4339200 4596840 4628480 4718592 4903296 4915200 5107600 5207040 5242880 5554176 5746050 5771588 5785600 5898240 6129120 6291456 6508800 6537728 6553600 6942720 7214485 7354944 7372800 7405568 7661400 7864320 8172160 8331264 8657382 8678400 9193680 9256960 9437184 9806592 9830400 10215200 10414080 10485760 11108352 11492100 11543176 11571200 11796480 12258240 12986073 13017600 13075456 13107200 13885440 14428970 14709888 14745600 14811136 15322800 15728640 16344320 16662528 17314764 17356800 18387360 18513920 18874368 19613184 19660800 20430400 20828160 21643455 22216704 22984200 23086352 23142400 23592960 24516480 25972146 26035200 26150912 26214400 27770880 28857940 29419776 29491200 29622272 30645600 31457280 32688640 33325056 34629528 34713600 36072425 36774720 37027840 39226368 39321600 40860800 41656320 43286910 44433408 45968400 46172704 46284800 47185920 49032960 51944292 52070400 52301824 52428800 55541760 57715880 58839552 58982400 59244544 61291200 64930365 65377280 66650112 69259056 69427200 72144850 73549440 74055680 78452736 78643200 81721600 83312640 86573820 88866816 91936800 92345408 92569600 94371840 98065920 103888584 104140800 104603648 108217275 111083520 115431760 117679104 117964800 118489088 122582400 129860730 130754560 133300224 138518112 138854400 144289700 147098880 148111360 156905472 157286400 163443200 166625280 173147640 177733632 183873600 184690816 185139200 196131840 207777168 208281600 209207296 216434550 222167040 230863520 235358208 235929600 236978176 245164800 259721460 261509120 266600448 277036224 277708800 288579400 294197760 296222720 313810944 324651825 326886400 333250560 346295280 355467264 367747200 369381632 370278400 392263680 415554336 416563200 418414592 432869100 444334080 461727040 470716416 471859200 490329600 519442920 523018240 533200896 554072448 555417600 577158800 588395520 592445440 627621888 649303650 653772800 666501120 692590560 710934528 735494400 738763264 740556800 784527360 831108672 833126400 836829184 865738200 888668160 923454080 941432832 980659200 1038885840 1046036480 1066401792 1108144896 1110835200 1154317600 1176791040 1184890880 1255243776 1298607300 1307545600 1333002240 1385181120 1470988800 1477526528 1481113600 1569054720 1662217344 1666252800 1673658368 1731476400 1777336320 1846908160 1882865664 1961318400 2077771680 2092072960 2132803584 2216289792 2221670400 2308635200 2353582080 2510487552 2597214600 2615091200 2666004480 2770362240 2941977600 2955053056 2962227200 3138109440 3324434688 3332505600 3347316736 3462952800 3554672640 3693816320 3765731328 3922636800 4155543360 4184145920 4432579584 4443340800 4617270400 4707164160 5020975104 5194429200 5230182400 5332008960 5540724480 5883955200 5910106112 5924454400 6276218880 6648869376 6665011200 6694633472 6925905600 7387632640 7531462656 7845273600 8311086720 8368291840 8865159168 8886681600 9234540800 9414328320 10041950208 10388858400 10460364800 10664017920 11081448960 11767910400 11820212224 12552437760 13297738752 13330022400 13389266944 13851811200 14775265280 15062925312 15690547200 16622173440 16736583680 17730318336 17773363200 18469081600 18828656640 20083900416 20777716800 20920729600 22162897920 23535820800 23640424448 25104875520 26595477504 26660044800 26778533888 27703622400 29550530560 30125850624 31381094400 33244346880 33473167360 35460636672 36938163200 37657313280 40167800832 41555433600 41841459200 44325795840 47071641600 47280848896 50209751040 53190955008 53320089600 55407244800 59101061120 60251701248 62762188800 66488693760 66946334720 70921273344 73876326400 75314626560 80335601664 83110867200 83682918400 88651591680 94143283200 94561697792 100419502080 106381910016 110814489600 118202122240 120503402496 125524377600 132977387520 133892669440 141842546688 147752652800 150629253120 166221734400 167365836800 177303183360 188286566400 189123395584 200839004160 212763820032 221628979200 236404244480 241006804992 251048755200 265954775040 283685093376 295505305600 301258506240 332443468800 334731673600 354606366720 376573132800 378246791168 401678008320 425527640064 443257958400 472808488960 502097510400 531909550080 567370186752 591010611200 602517012480 664886937600 669463347200 709212733440 753146265600 756493582336 851055280128 886515916800 945616977920 1004195020800 1063819100160 1134740373504 1182021222400 1205034024960 1329773875200 1418425466880 1506292531200 1512987164672 1702110560256 1773031833600 1891233955840 2008390041600 2127638200320 2269480747008 2364042444800 2659547750400 2836850933760 3012585062400 3025974329344 3404221120512 3546063667200 3782467911680 4255276400640 4538961494016 4728084889600 5319095500800 5673701867520 6025170124800 6808442241024 7092127334400 7564935823360 8510552801280 9077922988032 9456169779200 10638191001600 11347403735040 13616884482048 14184254668800 15129871646720 17021105602560 18912339558400 21276382003200 22694807470080 27233768964096 28368509337600 34042211205120 37824679116800 42552764006400 45389614940160 56737018675200 68084422410240 75649358233600 85105528012800 113474037350400 136168844820480 170211056025600 226948074700800 340422112051200 680844224102400
• Sum of all divisors σ(n): 2460710915800020
• Sum of proper divisors (its aliquot sum) s(n): 1779866691697620
• 680844224102400 is an abundant number, because the sum of its proper divisors (1779866691697620) is greater than itself. Its abundance is 1099022467595220

Bases of 680844224102400

• Binary: 10011010110011100101100110001000000000000000000000₂
• Hexadecimal: 0x26B3966200000
• Base-36: 6PC7IO5J40

Squares and roots of 680844224102400

• 680844224102400 squared (680844224102400²) is 463548857493599073085685760000
• 680844224102400 cubed (680844224102400³) is 315604562213783448889487551859024461824000000
• The square root of 680844224102400 is 26092991.8580142895
• The cube root of 680844224102400 is 87972.9696639737

Scales and comparisons

• 680,844,224,102,400 seconds is equal to 21,648,740 years, 17 weeks, 3 days, 16 hours.
• To count from 1 to 680,844,224,102,400 would take you about fifty-four million, one hundred twenty-one thousand, eight hundred fifty 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 680844224102400 cubic inches would be around 7331.1 feet tall.

Recreational maths with 680844224102400

• 680844224102400 backwards is 004201422448086
• 680844224102400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 680844224102400's digits is 45
• More coming soon!