45429967447654400

Names of 45429967447654400

• Cardinal: 45429967447654400 can be written as Forty-five quadrillion, four hundred twenty-nine trillion, nine hundred sixty-seven billion, four hundred forty-seven million, six hundred fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.54299674476544 × 10¹⁶

Factors of 45429967447654400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 1912

Divisors of 45429967447654400

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 128 130 152 160 190 200 208 247 256 260 304 320 325 380 400 416 475 494 512 520 608 640 650 760 800 832 950 988 1024 1040 1216 1235 1280 1300 1520 1600 1664 1873 1900 1976 2048 2080 2432 2470 2560 2600 3040 3200 3328 3746 3800 3952 4096 4160 4864 4940 5120 5200 6080 6175 6400 6656 7492 7600 7904 8192 8320 9365 9728 9880 10240 10400 12160 12350 12800 13312 14984 15200 15808 16384 16640 18730 19456 19760 20480 20800 24320 24349 24700 25600 26624 29968 30400 31616 32768 33280 35587 37460 38912 39520 40960 41600 46825 48640 48698 49400 51200 53248 59936 60800 63232 65536 66560 71174 74920 77824 79040 81920 83200 93650 97280 97396 98800 102400 106496 119872 121600 121745 126464 131072 133120 142348 149840 155648 158080 163840 166400 177935 187300 194560 194792 197600 204800 212992 239744 243200 243490 252928 262144 266240 284696 299680 311296 316160 327680 332800 355870 374600 389120 389584 395200 409600 425984 462631 479488 486400 486980 505856 524288 532480 569392 599360 608725 622592 632320 655360 665600 711740 749200 778240 779168 790400 819200 851968 889675 925262 958976 972800 973960 1011712 1048576 1064960 1138784 1198720 1217450 1245184 1264640 1310720 1331200 1423480 1498400 1556480 1558336 1580800 1638400 1703936 1779350 1850524 1917952 1945600 1947920 2023424 2097152 2129920 2277568 2313155 2397440 2434900 2490368 2529280 2621440 2662400 2846960 2996800 3112960 3116672 3161600 3276800 3407872 3508129 3558700 3701048 3835904 3891200 3895840 4046848 4259840 4555136 4626310 4794880 4869800 4980736 5058560 5242880 5324800 5693920 5993600 6225920 6233344 6323200 6553600 6815744 7016258 7117400 7402096 7671808 7782400 7791680 8093696 8519680 9110272 9252620 9589760 9739600 9961472 10117120 10485760 10649600 11387840 11565775 11987200 12451840 12466688 12646400 13107200 13631488 14032516 14234800 14804192 15343616 15564800 15583360 16187392 17039360 17540645 18220544 18505240 19179520 19479200 19922944 20234240 21299200 22775680 23131550 23974400 24903680 24933376 25292800 26214400 27262976 28065032 28469600 29608384 30687232 31129600 31166720 32374784 34078720 35081290 36441088 37010480 38359040 38958400 39845888 40468480 42598400 45551360 45605677 46263100 47948800 49807360 49866752 50585600 52428800 56130064 56939200 59216768 61374464 62259200 62333440 64749568 66654451 68157440 70162580 72882176 74020960 76718080 77916800 80936960 85196800 87703225 91102720 91211354 92526200 95897600 99614720 99733504 101171200 112260128 113878400 118433536 122748928 124518400 124666880 129499136 133308902 136314880 140325160 145764352 148041920 153436160 155833600 161873920 170393600 175406450 182205440 182422708 185052400 191795200 199229440 199467008 202342400 224520256 227756800 228028385 236867072 245497856 249036800 249333760 258998272 266617804 280650320 291528704 296083840 306872320 311667200 323747840 333272255 340787200 350812900 364410880 364845416 370104800 383590400 398934016 404684800 449040512 455513600 456056770 473734144 490995712 498073600 498667520 517996544 533235608 561300640 583057408 592167680 613744640 623334400 647495680 666544510 681574400 701625800 728821760 729690832 740209600 767180800 797868032 809369600 866507863 898081024 911027200 912113540 947468288 981991424 996147200 997335040 1066471216 1122601280 1140141925 1166114816 1184335360 1227489280 1246668800 1294991360 1333089020 1403251600 1457643520 1459381664 1480419200 1534361600 1595736064 1618739200 1666361275 1733015726 1796162048 1822054400 1824227080 1894936576 1963982848 1994670080 2132942432 2245202560 2280283850 2332229632 2368670720 2454978560 2493337600 2589982720 2666178040 2806503200 2915287040 2918763328 2960838400 3068723200 3191472128 3237478400 3332722550 3466031452 3592324096 3644108800 3648454160 3789873152 3927965696 3989340160 4265884864 4332539315 4490405120 4560567700 4664459264 4737341440 4909957120 4986675200 5332356080 5613006400 5830574080 5837526656 5921676800 6137446400 6382944256 6474956800 6665445100 6932062904 7184648192 7288217600 7296908320 7579746304 7978680320 8531769728 8665078630 8980810240 9121135400 9328918528 9474682880 9819914240 9973350400 10664712160 11226012800 11661148160 11675053312 11843353600 12274892800 12765888512 12949913600 13330890200 13864125808 14369296384 14576435200 14593816640 15159492608 15957360640 17063539456 17330157260 17961620480 18242270800 18657837056 18949365760 19639828480 19946700800 21329424320 21662696575 22452025600 23322296320 23350106624 23686707200 24549785600 25531777024 26661780400 27728251616 28738592768 29152870400 29187633280 30318985216 31914721280 34127078912 34660314520 35923240960 36484541600 37315674112 37898731520 39893401600 42658848640 43325393150 44904051200 46644592640 46700213248 47373414400 49099571200 51063554048 53323560800 55456503232 57477185536 58305740800 58375266560 60637970432 63829442560 68254157824 69320629040 71846481920 72969083200 74631348224 75797463040 79786803200 85317697280 86650786300 89808102400 93289185280 93400426496 94746828800 98199142400 106647121600 110913006464 114954371072 116611481600 116750533120 121275940864 127658885120 136508315648 138641258080 143692963840 145938166400 151594926080 159573606400 170635394560 173301572600 179616204800 186578370560 186800852992 189493657600 213294243200 221826012928 229908742144 233222963200 233501066240 242551881728 255317770240 273016631296 277282516160 287385927680 291876332800 303189852160 319147212800 341270789120 346603145200 359232409600 373156741120 373601705984 378987315200 426588486400 443652025856 459817484288 466445926400 467002132480 485103763456 546033262592 554565032320 574771855360 583752665600 606379704320 638294425600 682541578240 693206290400 718464819200 747203411968 757974630400 853176972800 887304051712 919634968576 932891852800 934004264960 970207526912 1092066525184 1109130064640 1149543710720 1167505331200 1212759408640 1276588851200 1365083156480 1386412580800 1436929638400 1494406823936 1515949260800 1706353945600 1774608103424 1839269937152 1865783705600 1868008529920 2184133050368 2218260129280 2299087421440 2335010662400 2425518817280 2730166312960 2772825161600 2873859276800 2988813647872 3031898521600 3412707891200 3549216206848 3678539874304 3736017059840 4368266100736 4436520258560 4598174842880 4670021324800 4851037634560 5460332625920 5545650323200 5747718553600 5977627295744 6063797043200 6825415782400 7098432413696 7357079748608 7472034119680 8736532201472 8873040517120 9196349685760 9340042649600 10920665251840 11091300646400 11495437107200 11955254591488 12127594086400 13650831564800 14196864827392 14944068239360 17473064402944 17746081034240 18392699371520 18680085299200 21841330503680 22182601292800 22990874214400 23910509182976 24255188172800 27301663129600 28393729654784 29888136478720 34946128805888 35492162068480 36785398743040 37360170598400 43682661007360 44365202585600 45981748428800 47821018365952 54603326259200 56787459309568 59776272957440 69892257611776 70984324136960 74720341196800 87365322014720 88730405171200 91963496857600 95642036731904 109206652518400 113574918619136 119552545914880 139784515223552 141968648273920 149440682393600 174730644029440 177460810342400 183926993715200 218413305036800 227149837238272 239105091829760 283937296547840 298881364787200 349461288058880 354921620684800 436826610073600 454299674476544 478210183659520 567874593095680 597762729574400 698922576117760 709843241369600 873653220147200 908599348953088 1135749186191360 1195525459148800 1419686482739200 1747306440294400 1817198697906176 2271498372382720 2391050918297600 2839372965478400 3494612880588800 4542996744765440 5678745930956800 9085993489530880 11357491861913600 22714983723827200 45429967447654400
• Sum of all divisors σ(n): 127787099860050120
• Sum of proper divisors (its aliquot sum) s(n): 82357132412395720
• 45429967447654400 is an abundant number, because the sum of its proper divisors (82357132412395720) is greater than itself. Its abundance is 36927164964741320

Bases of 45429967447654400

• Binary: 10100001011001100101000010001111111000000000000000000000₂
• Hexadecimal: 0xA166508FE00000
• Base-36: CFBKUXFC0E8

Squares and roots of 45429967447654400

• 45429967447654400 squared (45429967447654400²) is 2063881942294938439204061839360000
• 45429967447654400 cubed (45429967447654400³) is 93762089454260790108947325666914881381597184000000
• The square root of 45429967447654400 is 213143068.0262775987
• The cube root of 45429967447654400 is 356818.5920335341

Scales and comparisons

• 45,429,967,447,654,400 seconds is equal to 1,444,532,440 years, 37 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 45,429,967,447,654,400 would take you about four billion, three hundred thirty-three million, five hundred ninety-seven thousand, three hundred twenty-two 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 45429967447654400 cubic inches would be around 29734.9 feet tall.

Recreational maths with 45429967447654400

• 45429967447654400 backwards is 00445674476992454
• 45429967447654400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45429967447654400's digits is 80
• More coming soon!