13430139974246400

Names of 13430139974246400

• Cardinal: 13430139974246400 can be written as Thirteen quadrillion, four hundred thirty trillion, one hundred thirty-nine billion, nine hundred seventy-four million, two hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.34301399742464 × 10¹⁶

Factors of 13430139974246400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 798801

Divisors of 13430139974246400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 256 272 300 320 340 384 400 408 425 480 510 512 544 600 640 680 768 800 816 850 960 1020 1024 1088 1200 1275 1280 1360 1536 1600 1613 1632 1700 1920 2040 2048 2176 2400 2550 2560 2720 3072 3200 3226 3264 3400 3840 4080 4096 4352 4800 4839 5100 5120 5440 6144 6400 6452 6528 6800 7680 8065 8160 8192 8704 9600 9678 10200 10240 10880 12288 12800 12904 13056 13600 15360 16130 16320 17408 19200 19356 20400 20480 21760 24195 24576 25600 25808 26112 27200 27421 30720 32260 32640 34816 38400 38712 40325 40800 40960 43520 48390 51200 51616 52224 54400 54842 61440 64520 65280 69632 76800 77424 80650 81600 82263 87040 96780 102400 103232 104448 108800 109684 120975 122880 129040 130560 137105 139264 153600 154848 161300 163200 164526 174080 193560 204800 206464 208896 217600 219368 241950 258080 261120 274210 307200 309696 322600 326400 329052 348160 387120 411315 412928 417792 435200 438736 483900 516160 522240 548420 614400 619392 645200 652800 658104 685525 696320 774240 797161 822630 825856 870400 877472 967800 1032320 1044480 1096840 1238784 1290400 1305600 1316208 1371050 1548480 1594322 1645260 1651712 1740800 1754944 1935600 2056575 2064640 2088960 2193680 2391483 2477568 2580800 2611200 2632416 2742100 3096960 3188644 3290520 3303424 3481600 3509888 3871200 3985805 4113150 4129280 4387360 4782966 4955136 5161600 5222400 5264832 5484200 6193920 6377288 6581040 6606848 7019776 7742400 7971610 8226300 8258560 8774720 9565932 9910272 10323200 10444800 10529664 10968400 11957415 12387840 12754576 13162080 13213696 13551737 14039552 15484800 15943220 16452600 16517120 17549440 19131864 19820544 19929025 20646400 21059328 21936800 23914830 24775680 25509152 26324160 27103474 28079104 30969600 31886440 32905200 33034240 35098880 38263728 39641088 39858050 40655211 41292800 42118656 43873600 47829660 49551360 51018304 52648320 54206948 56158208 59787075 61939200 63772880 65810400 66068480 67758685 70197760 76527456 79716100 81310422 82585600 84237312 87747200 95659320 99102720 102036608 105296640 108413896 112316416 119574150 123878400 127545760 131620800 135517370 140395520 153054912 159432200 162620844 165171200 168474624 175494400 191318640 198205440 203276055 204073216 210593280 216827792 224632832 239148300 247756800 255091520 263241600 271034740 280791040 306109824 318864400 325241688 330342400 336949248 338793425 350988800 382637280 406552110 408146432 421186560 433655584 478296600 495513600 510183040 526483200 542069480 561582080 612219648 637728800 650483376 673898496 677586850 701977600 765274560 813104220 816292864 842373120 867311168 956593200 991027200 1016380275 1020366080 1052966400 1084138960 1123164160 1224439296 1275457600 1285820693 1300966752 1355173700 1403955200 1530549120 1626208440 1632585728 1684746240 1734622336 1913186400 2032760550 2040732160 2105932800 2168277920 2448878592 2550915200 2571641386 2601933504 2710347400 2807910400 3061098240 3252416880 3265171456 3369492480 3469244672 3826372800 3857462079 4065521100 4081464320 4211865600 4336555840 4897757184 5101830400 5143282772 5203867008 5420694800 5615820800 6122196480 6429103465 6504833760 6530342912 6938489344 7652745600 7714924158 8131042200 8162928640 8423731200 8673111680 9795514368 10203660800 10286565544 10407734016 10841389600 12244392960 12858206930 13009667520 13876978688 15305491200 15429848316 16262084400 16325857280 16847462400 17346223360 19287310395 19591028736 20407321600 20573131088 20815468032 21682779200 21858951781 24488785920 25716413860 26019335040 27753957376 30610982400 30859696632 32145517325 32524168800 32651714560 34692446720 38574620790 40814643200 41146262176 41630936064 43365558400 43717903562 48977571840 51432827720 52038670080 55507914752 61221964800 61719393264 64291034650 65048337600 65576855343 69384893440 77149241580 81629286400 82292524352 83261872128 86731116800 87435807124 96436551975 97955143680 102865655440 104077340160 109294758905 111015829504 122443929600 123438786528 128582069300 130096675200 131153710686 138769786880 154298483160 163258572800 164585048704 166523744256 173462233600 174871614248 192873103950 205731310880 208154680320 218589517810 244887859200 246877573056 257164138600 260193350400 262307421372 277539573760 308596966320 327884276715 329170097408 333047488512 346924467200 349743228496 385746207900 411462621760 416309360640 437179035620 489775718400 493755146112 514328277200 520386700800 524614842744 546473794525 555079147520 617193932640 655768553430 658340194816 693848934400 699486456992 771492415800 822925243520 832618721280 874358071240 987510292224 1028656554400 1040773401600 1049229685488 1092947589050 1234387865280 1311537106860 1316680389632 1387697868800 1398972913984 1542984831600 1639421383575 1645850487040 1665237442560 1748716142480 1975020584448 2057313108800 2081546803200 2098459370976 2185895178100 2468775730560 2623074213720 2633360779264 2775395737600 2797945827968 3085969663200 3278842767150 3291700974080 3497432284960 3950041168896 4114626217600 4163093606400 4196918741952 4371790356200 4937551461120 5246148427440 5266721558528 5595891655936 6171939326400 6557685534300 6583401948160 6994864569920 7900082337792 8229252435200 8326187212800 8393837483904 8743580712400 9875102922240 10492296854880 10533443117056 11191783311872 12343878652800 13115371068600 13166803896320 13989729139840 15800164675584 16458504870400 16787674967808 17487161424800 19750205844480 20984593709760 22383566623744 24687757305600 26230742137200 26333607792640 27979458279680 31600329351168 32917009740800 33575349935616 34974322849600 39500411688960 41969187419520 44767133247488 49375514611200 52461484274400 52667215585280 55958916559360 65834019481600 67150699871232 69948645699200 79000823377920 83938374839040 89534266494976 98751029222400 104922968548800 111917833118720 131668038963200 134301399742464 139897291398400 158001646755840 167876749678080 179068532989952 197502058444800 209845937097600 223835666237440 263336077926400 268602799484928 279794582796800 335753499356160 395004116889600 419691874195200 447671332474880 537205598969856 559589165593600 671506998712320 790008233779200 839383748390400 895342664949760 1119178331187200 1343013997424640 1678767496780800 2238356662374400 2686027994849280 3357534993561600 4476713324748800 6715069987123200 13430139974246400
• Sum of all divisors σ(n): 47047628813152608
• Sum of proper divisors (its aliquot sum) s(n): 33617488838906208
• 13430139974246400 is an abundant number, because the sum of its proper divisors (33617488838906208) is greater than itself. Its abundance is 20187348864659808

Bases of 13430139974246400

• Binary: 101111101101101010010000100010011100101110000000000000₂
• Hexadecimal: 0x2FB6A42272E000
• Base-36: 3O8L54OQ7EO

Squares and roots of 13430139974246400

• 13430139974246400 squared (13430139974246400²) is 180368659727851093655247912960000
• 13430139974246400 cubed (13430139974246400³) is 2422376347112259771775905280200821748793344000000
• The square root of 13430139974246400 is 115888480.7659777719
• The cube root of 13430139974246400 is 237698.7217995751

Scales and comparisons

• 13,430,139,974,246,400 seconds is equal to 427,036,909 years, 1 week, 4 days, 2 hours, 40 minutes.
• To count from 1 to 13,430,139,974,246,400 would take you about one billion, two hundred eighty-one million, one hundred ten thousand, seven hundred twenty-seven 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 13430139974246400 cubic inches would be around 19808.2 feet tall.

Recreational maths with 13430139974246400

• 13430139974246400 backwards is 00464247993103431
• 13430139974246400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13430139974246400's digits is 60
• More coming soon!