345616769011646448

Names of 345616769011646448

• Cardinal: 345616769011646448 can be written as Three hundred forty-five quadrillion, six hundred sixteen trillion, seven hundred sixty-nine billion, eleven million, six hundred forty-six thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 3.45616769011646448 × 10¹⁷

Factors of 345616769011646448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 533

Divisors of 345616769011646448

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 324 337 382 432 573 648 674 764 1011 1146 1296 1348 1528 1719 2022 2292 2696 3033 3056 3438 4044 4584 5157 5392 6066 6876 8088 9099 9168 10314 12132 13752 15471 16176 18198 20628 24264 27297 27504 30942 36396 36481 41256 48528 54594 61884 64367 72792 72962 82512 109188 109443 113569 123768 128734 145584 145924 193101 218376 218886 227138 247536 257468 291848 328329 340707 386202 436752 437772 454276 514936 579303 583696 656658 681414 772404 875544 908552 984987 1022121 1029872 1158606 1313316 1362828 1544808 1737909 1751088 1817104 1969974 2044242 2317212 2626632 2725656 2954961 3066363 3089616 3475818 3939948 4088484 4634424 5213727 5253264 5451312 5909922 6132726 6951636 6967871 7879896 8176968 9199089 9268848 10427454 11819844 12265452 12294097 13903272 13935742 15759792 16353936 18398178 20854908 20903613 21691679 23639688 24530904 24588194 27806544 27871484 36796356 36882291 38272753 41709816 41807226 43383358 47279376 49061808 49176388 55742968 62710839 65075037 73592712 73764582 76545506 83419632 83614452 86766716 98352776 110646873 111485936 114818259 125421678 130150074 147185424 147529164 153091012 167228904 173533432 188132517 195225111 196705552 221293746 229636518 250843356 260300148 295058328 306182024 331940619 334457808 344454777 347066864 376265034 390450222 442587492 459273036 501686712 520600296 564397551 585675333 590116656 612364048 663881238 688909554 752530068 780900444 885174984 918546072 995821857 1003373424 1033364331 1041200592 1128795102 1171350666 1327762476 1377819108 1505060136 1561800888 1757025999 1770349968 1837092144 1991643714 2066728662 2257590204 2342701332 2348172527 2655524952 2755638216 3010120272 3100092993 3123601776 3514051998 3983287428 4133457324 4143110689 4515180408 4685402664 4696345054 5311049904 5511276432 6200185986 7028103996 7044517581 7310095823 7966574856 8266914648 8286221378 9030360816 9370805328 9392690108 12400371972 12429332067 14056207992 14089035162 14620191646 15933149712 16533829296 16572442756 18785380216 21133552743 21930287469 24800743944 24858664134 28112415984 28178070324 29240383292 33144885512 37287996201 37570760432 42267105486 43860574938 49601487888 49717328268 56356140648 58480766584 63400658229 65790862407 66289771024 74575992402 84534210972 87721149876 99434656536 111863988603 112712281296 116961533168 126801316458 131581724814 149151984804 169068421944 175442299752 190201974687 197372587221 198869313072 223727977206 253602632916 263163449628 298303969608 335591965809 338136843888 350884599504 380403949374 394745174442 447455954412 507205265832 526326899256 592117761663 596607939216 671183931618 760807898748 789490348884 791334141599 894911908824 1014410531664 1052653798512 1184235523326 1342367863236 1396228302193 1521615797496 1578980697768 1582668283198 1789823817648 2368471046652 2374002424797 2684735726472 2792456604386 3043231594992 3157961395536 3165336566396 4188684906579 4736942093304 4748004849594 5369471452944 5584913208772 6330673132792 7122007274391 8377369813158 9473884186608 9496009699188 11169826417544 12566054719737 12661346265584 14244014548782 16754739626316 18992019398376 21366021823173 22339652835088 25132109439474 28488029097564 33509479252632 37698164159211 37984038796752 42732043646346 50264218878948 56976058195128 64098065469519 67018958505264 75396328318422 85464087292692 100528437757896 113094492477633 113952116390256 128196130939038 150792656636844 170928174585384 201056875515792 226188984955266 256392261878076 266679605718863 301585313273688 341856349170768 452377969910532 512784523756152 533359211437726 603170626547376 800038817156589 904755939821064 1025569047512304 1066718422875452 1600077634313178 1809511879642128 2133436845750904 2400116451469767 3200155268626356 4266873691501808 4800232902939534 6400310537252712 7200349354409301 9600465805879068 12800621074505424 14400698708818602 19200931611758136 21601048063227903 28801397417637204 38401863223516272 43202096126455806 57602794835274408 86404192252911612 115205589670548816 172808384505823224 345616769011646448
• Sum of all divisors σ(n): 1008572814735383040
• Sum of proper divisors (its aliquot sum) s(n): 662956045723736592
• 345616769011646448 is an abundant number, because the sum of its proper divisors (662956045723736592) is greater than itself. Its abundance is 317339276712090144

Bases of 345616769011646448

• Binary: 10011001011111000001001111011001001010110110111111111110000₂
• Hexadecimal: 0x4CBE09EC95B7FF0
• Base-36: 2MJ2X3S4ZZ00

Squares and roots of 345616769011646448

• 345616769011646448 squared (345616769011646448²) is 119450951022049776456308663751016704
• 345616769011646448 cubed (345616769011646448³) is 41284251747609270785630519607243836825835076990267392
• The square root of 345616769011646448 is 587891800.4289959885
• The cube root of 345616769011646448 is 701775.6071929581

Scales and comparisons

• 345,616,769,011,646,448 seconds is equal to 10,989,544,191 years, 36 weeks, 6 days, 22 hours, 40 minutes, 48 seconds.
• To count from 1 to 345,616,769,011,646,448 would take you about thirty-two billion, nine hundred sixty-eight million, six hundred thirty-two thousand, five hundred seventy-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 345616769011646448 cubic inches would be around 58481.3 feet tall.

Recreational maths with 345616769011646448

• 345616769011646448 backwards is 844646110967616543
• 345616769011646448 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345616769011646448's digits is 81
• More coming soon!