13225388193382400

Names of 13225388193382400

• Cardinal: 13225388193382400 can be written as Thirteen quadrillion, two hundred twenty-five trillion, three hundred eighty-eight billion, one hundred ninety-three million, three hundred eighty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.32253881933824 × 10¹⁶

Factors of 13225388193382400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 130

Divisors of 13225388193382400

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 97 98 100 112 128 133 140 152 160 175 190 194 196 200 224 245 256 266 280 304 320 350 361 380 388 392 400 448 475 485 490 512 532 560 608 640 665 679 700 722 760 776 784 800 896 931 950 970 980 1024 1064 1120 1216 1225 1280 1330 1358 1400 1444 1520 1552 1568 1600 1792 1805 1843 1862 1900 1940 1960 2048 2128 2240 2425 2432 2450 2527 2560 2660 2716 2800 2888 3040 3104 3136 3200 3325 3395 3584 3610 3686 3724 3800 3880 3920 4096 4256 4480 4655 4753 4850 4864 4900 5054 5120 5320 5432 5600 5776 6080 6208 6272 6400 6650 6790 7168 7220 7372 7448 7600 7760 7840 8192 8512 8960 9025 9215 9310 9409 9506 9700 9728 9800 10108 10240 10640 10864 11200 11552 12160 12416 12544 12635 12800 12901 13300 13580 14336 14440 14744 14896 15200 15520 15680 16384 16975 17024 17689 17920 18050 18430 18620 18818 19012 19400 19456 19600 20216 20480 21280 21728 22400 23104 23275 23765 24320 24832 25088 25270 25600 25802 26600 27160 28672 28880 29488 29792 30400 31040 31360 32768 33950 34048 35017 35378 35840 36100 36860 37240 37636 38024 38800 38912 39200 40432 40960 42560 43456 44800 46075 46208 46550 47045 47530 48640 49664 50176 50540 51200 51604 53200 54320 57344 57760 58976 59584 60800 62080 62720 63175 64505 65863 67900 68096 70034 70756 71680 72200 73720 74480 75272 76048 77600 77824 78400 80864 81920 85120 86912 88445 89600 90307 92150 92416 93100 94090 95060 97280 99328 100352 101080 102400 103208 106400 108640 114688 115520 117952 118825 119168 121600 124160 125440 126350 129010 131726 135800 136192 140068 141512 143360 144400 147440 148960 150544 152096 155200 155648 156800 161728 163840 170240 173824 175085 176890 178771 179200 180614 184300 184832 186200 188180 190120 194560 198656 200704 202160 204800 206416 212800 217280 229376 231040 235225 235904 237650 238336 243200 245119 248320 250880 252700 258020 263452 271600 272384 280136 283024 286720 288800 294880 297920 301088 304192 310400 311296 313600 322525 323456 329315 340480 347648 350170 353780 357542 358400 361228 368600 369664 372400 376360 380240 389120 397312 401408 404320 409600 412832 425600 434560 442225 451535 461041 462080 470450 471808 475300 476672 486400 490238 496640 501760 505400 516040 526904 543200 544768 560272 566048 573440 577600 589760 595840 602176 608384 620800 622592 627200 645050 646912 658630 680960 695296 700340 707560 715084 716800 722456 737200 739328 744800 752720 760480 778240 794624 802816 808640 819200 825664 851200 869120 875425 884450 893855 903070 912673 922082 924160 940900 943616 950600 953344 972800 980476 993280 1003520 1010800 1032080 1053808 1086400 1089536 1120544 1132096 1146880 1155200 1179520 1191680 1204352 1216768 1225595 1241600 1251397 1254400 1290100 1293824 1317260 1361920 1390592 1400680 1415120 1430168 1433600 1444912 1474400 1478656 1489600 1505440 1520960 1556480 1589248 1605632 1617280 1646575 1651328 1702400 1715833 1738240 1750850 1768900 1787710 1806140 1825346 1844164 1848320 1881800 1887232 1901200 1906688 1945600 1960952 1986560 2007040 2021600 2064160 2107616 2172800 2179072 2241088 2257675 2264192 2305205 2310400 2359040 2383360 2408704 2433536 2451190 2483200 2502794 2508800 2580200 2587648 2634520 2723840 2781184 2801360 2830240 2860336 2867200 2889824 2948800 2957312 2979200 3010880 3041920 3112960 3178496 3234560 3293150 3302656 3396649 3404800 3431666 3476480 3501700 3537800 3575420 3612280 3650692 3688328 3696640 3763600 3774464 3802400 3813376 3891200 3921904 3973120 4014080 4043200 4128320 4215232 4345600 4358144 4469275 4482176 4515350 4528384 4563365 4610410 4620800 4718080 4766720 4817408 4867072 4902380 4966400 5005588 5017600 5160400 5175296 5269040 5447680 5562368 5602720 5660480 5720672 5734400 5779648 5897600 5914624 5958400 6021760 6083840 6127975 6256985 6388711 6469120 6586300 6605312 6793298 6809600 6863332 6952960 7003400 7075600 7150840 7224560 7301384 7376656 7393280 7527200 7548928 7604800 7626752 7782400 7843808 7946240 8028160 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67975885040 69563371520 70280519680 71027863552 71553563200 71760109568 73224601600 73802389472 73979494400 74766172160 75536957440 76084937600 77686725760 80721363485 81775500800 84345587968 84969856300 85215130112 86954214400 87850649600 88784829440 89700136960 91588560896 92252986840 93457715200 94421196800 97108407200 97388720128 100400742400 102514442240 104672641024 105431984960 106518912640 108761416064 110981036800 111301394432 112125171200 114485701120 115316233550 121735900160 124298761216 128143052800 129154181576 130840801280 131789981200 133148640800 135951770080 139126743040 140561039360 142055727104 143107126400 143520219136 146449203200 147604778944 149532344320 152169875200 155373451520 161442726970 163551001600 168691175936 169939712600 170430260224 173908428800 175701299200 177569658880 179400273920 183177121792 184505973680 186915430400 188842393600 194216814400 194777440256 200801484800 205028884480 209345282048 210863969920 213037825280 217522832128 221962073600 224250342400 228971402240 230632467100 243471800320 248597522432 256286105600 258308363152 261681602560 263579962400 266297281600 271903540160 278253486080 281122078720 284111454208 286214252800 287040438272 295209557888 304339750400 310746903040 322885453940 327102003200 337382351872 339879425200 340860520448 347816857600 351402598400 355139317760 358800547840 366354243584 369011947360 373830860800 377684787200 388433628800 389554880512 403606817425 421727939840 426075650560 435045664256 443924147200 448500684800 457942804480 461264934200 486943600640 497195044864 512572211200 516616726304 523363205120 527159924800 532594563200 543807080320 556506972160 568222908416 572428505600 590419115776 608679500800 621493806080 645770907880 654204006400 674764703744 679758850400 681721040896 695633715200 702805196800 710278635520 717601095680 732708487168 738023894720 747661721600 776867257600 779109761024 807213634850 843455879680 852151301120 870091328512 887848294400 897001369600 915885608960 922529868400 973887201280 994390089728 1025144422400 1033233452608 1046726410240 1054319849600 1065189126400 1087614160640 1144857011200 1180838231552 1217359001600 1242987612160 1291541815760 1308408012800 1349529407488 1359517700800 1363442081792 1391267430400 1405610393600 1420557271040 1435202191360 1465416974336 1476047789440 1553734515200 1614427269700 1686911759360 1704302602240 1740182657024 1775696588800 1794002739200 1831771217920 1845059736800 1947774402560 1988780179456 2066466905216 2108639699200 2130378252800 2175228321280 2289714022400 2361676463104 2434718003200 2485975224320 2583083631520 2616816025600 2699058814976 2719035401600 2726884163584 2782534860800 2841114542080 2952095578880 3107469030400 3228854539400 3373823518720 3408605204480 3480365314048 3551393177600 3588005478400 3663542435840 3690119473600 3895548805120 3977560358912 4132933810432 4217279398400 4260756505600 4350456642560 4579428044800 4723352926208 4869436006400 4971950448640 5166167263040 5233632051200 5398117629952 5438070803200 5453768327168 5904191157760 6214938060800 6457709078800 6747647037440 6817210408960 6960730628096 7102786355200 7176010956800 7327084871680 7380238947200 8265867620864 8434558796800 8521513011200 8700913285120 9158856089600 9446705852416 9738872012800 9943900897280 10332334526080 10796235259904 10876141606400 11808382315520 12429876121600 12915418157600 13495294074880 13634420817920 13921461256192 14205572710400 14760477894400 16531735241728 16869117593600 17043026022400 17401826570240 18317712179200 18893411704832 19477744025600 19887801794560 20664669052160 21752283212800 23616764631040 24859752243200 25830836315200 26990588149760 27268841635840 27842922512384 29520955788800 33063470483456 33738235187200 34086052044800 34803653140480 36635424358400 37786823409664 41329338104320 43504566425600 47233529262080 49719504486400 51661672630400 53981176299520 59041911577600 66126940966912 67476470374400 68172104089600 69607306280960 75573646819328 82658676208640 87009132851200 94467058524160 99439008972800 103323345260800 118083823155200 132253881933824 134952940748800 136344208179200 139214612561920 165317352417280 174018265702400 188934117048320 206646690521600 236167646310400 264507763867648 269905881497600 330634704834560 348036531404800 377868234096640 413293381043200 472335292620800 529015527735296 661269409669120 696073062809600 826586762086400 944670585241600 1322538819338240 1653173524172800 1889341170483200 2645077638676480 3306347048345600 6612694096691200 13225388193382400
• Sum of all divisors σ(n): 40686518379950100
• Sum of proper divisors (its aliquot sum) s(n): 27461130186567700
• 13225388193382400 is an abundant number, because the sum of its proper divisors (27461130186567700) is greater than itself. Its abundance is 14235741993185300

Bases of 13225388193382400

• Binary: 101110111111000110101110100101010010001000000000000000₂
• Hexadecimal: 0x2EFC6BA5488000
• Base-36: 3M80BGKXOU8

Squares and roots of 13225388193382400

• 13225388193382400 squared (13225388193382400²) is 174910892865658582139152629760000
• 13225388193382400 cubed (13225388193382400³) is 2313264457399454872824097714462816389300224000000
• The square root of 13225388193382400 is 115001687.7849294871
• The cube root of 13225388193382400 is 236484.5700197725

Scales and comparisons

• 13,225,388,193,382,400 seconds is equal to 420,526,435 years, 38 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,225,388,193,382,400 would take you about one billion, two hundred sixty-one million, five hundred seventy-nine thousand, three hundred 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 13225388193382400 cubic inches would be around 19707 feet tall.

Recreational maths with 13225388193382400

• 13225388193382400 backwards is 00428339188352231
• The number of decimal digits it has is: 17
• The sum of 13225388193382400's digits is 62
• More coming soon!