345633616256041728

Names of 345633616256041728

• Cardinal: 345633616256041728 can be written as Three hundred forty-five quadrillion, six hundred thirty-three trillion, six hundred sixteen billion, two hundred fifty-six million, forty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.45633616256041728 × 10¹⁷

Factors of 345633616256041728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1095

Divisors of 345633616256041728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 521 569 576 768 864 1042 1138 1152 1563 1707 1728 2084 2276 2304 3126 3414 3456 4168 4552 4689 5121 6252 6828 6912 8336 9104 9378 10242 12504 13656 14067 15363 16672 18208 18756 20484 25008 27312 28134 30726 33344 36416 37512 40968 50016 54624 56268 61452 66688 72832 75024 81936 100032 109248 112536 122904 133376 145664 150048 163872 200064 218496 225072 245808 271441 296449 300096 323761 327744 400128 436992 450144 491616 542882 592898 600192 647522 655488 814323 889347 900288 971283 983232 1085764 1185796 1200384 1295044 1310976 1628646 1778694 1800576 1942566 1966464 2171528 2371592 2442969 2590088 2668041 2913849 3257292 3557388 3601152 3885132 3932928 4343056 4743184 4885938 5180176 5336082 5827698 6514584 7114776 7328907 7770264 8004123 8686112 8741547 9486368 9771876 10360352 10672164 11655396 13029168 14229552 14657814 15540528 16008246 17372224 17483094 18972736 19543752 20720704 21344328 23310792 26058336 28459104 29315628 31081056 32016492 34744448 34966188 37945472 39087504 41441408 42688656 46621584 52116672 56918208 58631256 62162112 64032984 69488896 69932376 75890944 78175008 82882816 85377312 93243168 104233344 113836416 117262512 124324224 128065968 139864752 154449929 156350016 168679481 170754624 184220009 186486336 208466688 227672832 234525024 248648448 256131936 279729504 308899858 312700032 337358962 341509248 368440018 372972672 463349787 469050048 506038443 512263872 552660027 559459008 617799716 625400064 674717924 683018496 736880036 745945344 926699574 938100096 1012076886 1024527744 1105320054 1118918016 1235599432 1349435848 1390049361 1473760072 1518115329 1657980081 1853399148 1876200192 2024153772 2049055488 2210640108 2237836032 2471198864 2698871696 2780098722 2947520144 3036230658 3315960162 3706798296 4048307544 4170148083 4421280216 4554345987 4942397728 4973940243 5397743392 5560197444 5895040288 6072461316 6631920324 7413596592 8096615088 8340296166 8842560432 9108691974 9884795456 9947880486 10795486784 11120394888 11790080576 12144922632 13263840648 14827193184 16193230176 16680592332 17685120864 18217383948 19769590912 19895760972 21590973568 22240789776 23580161152 24289845264 26527681296 29654386368 32386460352 33361184664 35370241728 36434767896 39539181824 39791521944 43181947136 44481579552 47160322304 48579690528 53055362592 59308772736 64772920704 66722369328 70740483456 72869535792 79583043888 87882009601 88963159104 95978624689 97159381056 106110725184 118617545472 129545841408 133444738656 141480966912 145739071584 159166087776 175764019202 177926318208 191957249378 194318762112 212221450368 263646028803 266889477312 287935874067 291478143168 318332175552 351528038404 355852636416 383914498756 388637524224 424442900736 527292057606 533778954624 575871748134 582956286336 636664351104 703056076808 767828997512 790938086409 863807622201 1054584115212 1067557909248 1151743496268 1165912572672 1273328702208 1406112153616 1535657995024 1581876172818 1727615244402 2109168230424 2303486992536 2372814259227 2591422866603 2812224307232 3071315990048 3163752345636 3455230488804 4218336460848 4606973985072 4745628518454 5182845733206 5624448614464 6142631980096 6327504691272 6910460977608 8436672921696 9213947970144 9491257036908 10365691466412 11248897228928 12285263960192 12655009382544 13820921955216 16873345843392 18427895940288 18982514073816 20731382932824 22497794457856 24570527920384 25310018765088 27641843910432 33746691686784 36855791880576 37965028147632 41462765865648 50004863462969 50620037530176 55283687820864 67493383373568 73711583761152 75930056295264 82925531731296 100009726925938 101240075060352 110567375641728 150014590388907 151860112590528 165851063462592 200019453851876 202480150120704 221134751283456 300029180777814 303720225181056 331702126925184 400038907703752 450043771166721 600058361555628 607440450362112 663404253850368 800077815407504 900087542333442 1200116723111256 1350131313500163 1600155630815008 1800175084666884 2400233446222512 2700262627000326 3200311261630016 3600350169333768 4800466892445024 5400525254000652 6400622523260032 7200700338667536 9600933784890048 10801050508001304 12801245046520064 14401400677335072 19201867569780096 21602101016002608 28802801354670144 38403735139560192 43204202032005216 57605602709340288 86408404064010432 115211205418680576 172816808128020864 345633616256041728
• Sum of all divisors σ(n): 1025867909017744800
• Sum of proper divisors (its aliquot sum) s(n): 680234292761703072
• 345633616256041728 is an abundant number, because the sum of its proper divisors (680234292761703072) is greater than itself. Its abundance is 334600676505661344

Bases of 345633616256041728

• Binary: 10011001011111011111111000101010111011000000000001100000000₂
• Hexadecimal: 0x4CBEFF157600300
• Base-36: 2MJ8W3ARBUO0

Squares and roots of 345633616256041728

• 345633616256041728 squared (345633616256041728²) is 119462596686228712656614262477225984
• 345633616256041728 cubed (345633616256041728³) is 41290289299998257045439627248991720893192645589860352
• The square root of 345633616256041728 is 587906128.7791119193
• The cube root of 345633616256041728 is 701787.0097965783

Scales and comparisons

• 345,633,616,256,041,728 seconds is equal to 10,990,079,881 years, 50 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 345,633,616,256,041,728 would take you about thirty-two billion, nine hundred seventy million, two hundred thirty-nine thousand, six hundred forty-five 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 345633616256041728 cubic inches would be around 58482.3 feet tall.

Recreational maths with 345633616256041728

• 345633616256041728 backwards is 827140652616336543
• 345633616256041728 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345633616256041728's digits is 72
• More coming soon!