345021638760456048

Names of 345021638760456048

• Cardinal: 345021638760456048 can be written as Three hundred forty-five quadrillion, twenty-one trillion, six hundred thirty-eight billion, seven hundred sixty million, four hundred fifty-six thousand and forty-eight.

Scientific notation

• Scientific notation: 3.45021638760456048 × 10¹⁷

Factors of 345021638760456048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1140

Divisors of 345021638760456048

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 241 272 289 306 408 432 459 482 578 612 723 816 867 877 918 964 1156 1224 1446 1734 1754 1836 1928 2169 2312 2448 2601 2631 2892 3468 3508 3672 3856 4097 4338 4624 4913 5202 5262 5784 6507 6936 7016 7344 7803 7893 8194 8676 9826 10404 10524 11568 12291 13014 13872 14032 14739 14909 15606 15786 16388 17352 19652 20808 21048 23679 24582 26028 29478 29818 31212 31572 32776 34704 36873 39304 41616 42096 44217 44727 47358 49164 52056 58956 59636 62424 63144 65552 69649 73746 78608 88434 89454 94716 98328 104112 110619 117912 119272 124848 126288 132651 134181 139298 147492 176868 178908 189432 196656 208947 211357 221238 235824 238544 253453 265302 268362 278596 294984 353736 357816 378864 402543 417894 422714 442476 506906 530604 536724 557192 589968 626841 634071 707472 715632 760359 769129 805086 835788 845428 884952 1013812 1061208 1073448 1114384 1184033 1253682 1268142 1520718 1538258 1610172 1671576 1690856 1769904 1880523 1902213 2027624 2122416 2146896 2281077 2307387 2368066 2507364 2536284 3041436 3076516 3220344 3343152 3381712 3552099 3593069 3761046 3804426 4055248 4308701 4562154 4614774 4736132 5014728 5072568 5706639 6082872 6153032 6440688 6843231 6922161 7104198 7186138 7522092 7608852 8617402 9124308 9229548 9472264 10029456 10145136 10656297 10779207 11413278 12165744 12306064 12926103 13075193 13686462 13844322 14208396 14372276 15044184 15217704 17234804 18248616 18459096 18944528 20766483 21312594 21558414 22826556 25852206 26150386 27372924 27688644 28416792 28744552 30088368 30435408 31968891 32337621 34469608 36497232 36918192 38778309 39225579 41532966 42625188 43116828 45653112 51704412 52300772 54745848 55377288 56833584 57489104 61082173 63937782 64675242 68939216 77556618 78451158 83065932 85250376 86233656 91306224 97012863 103408824 104601544 109491696 110754576 116334927 117676737 122164346 127875564 129350484 155113236 156902316 166131864 170500752 172467312 183246519 185360089 194025726 206817648 209203088 222278281 232669854 235353474 244328692 255751128 258700968 310226472 313804632 332263728 353030211 366493038 370720178 388051452 444556562 465339708 470706948 488657384 511502256 517401936 549739557 556080267 620452944 627609264 666834843 674526133 706060422 732986076 741440356 776102904 889113124 930679416 941413896 977314768 1038396941 1099479114 1112160534 1333669686 1349052266 1412120844 1465972152 1482880712 1552205808 1649218671 1668240801 1778226248 1861358832 1882827792 2000504529 2023578399 2076793882 2198958228 2224321068 2667339372 2698104532 2824241688 2931944304 2965761424 3115190823 3151121513 3298437342 3336481602 3556452496 3778730777 4001009058 4047156798 4153587764 4397916456 4448642136 5004722403 5334678744 5396209064 5648483376 6001513587 6070735197 6230381646 6302243026 6596874684 6672963204 7557461554 8002018116 8094313596 8307175528 8795832912 8897284272 9345572469 9453364539 10009444806 10669357488 10792418128 11336192331 11466944261 12003027174 12141470394 12460763292 12604486052 13193749368 13345926408 15114923108 16004036232 16188627192 16614351056 18212205591 18691144938 18906729078 20018889612 22672384662 22933888522 24006054348 24282940788 24921526584 25208972104 26387498736 26691852816 28036717407 28360093617 30229846216 32008072464 32377254384 34008576993 34400832783 36424411182 37382289876 37813458156 40037779224 45344769324 45867777044 48012108696 48565881576 49843053168 50417944208 53569065721 56073434814 56720187234 60459692432 68017153986 68801665566 72848822364 74764579752 75626916312 80075558448 85080280851 90689538648 91735554088 96024217392 97131763152 102025730979 103202498349 107138131442 112146869628 113440374468 136034307972 137603331132 145697644728 149529159504 151253832624 160707197163 162560798053 170160561702 181379077296 183471108176 194938052437 204051461958 206404996698 214276262884 224293739256 226880748936 272068615944 275206662264 291395289456 309607495047 321414394326 325121596106 340321123404 389876104874 408102923916 412809993396 428552525768 448587478512 453761497872 482121591489 487682394159 544137231888 550413324528 584814157311 619214990094 642828788652 650243192212 680642246808 779752209748 816205847832 825619986792 857105051536 910674117257 964243182978 975364788318 1169628314622 1238429980188 1285657577304 1300486384424 1361284493616 1446364774467 1463047182477 1559504419496 1632411695664 1651239973584 1754442471933 1821348234514 1928486365956 1950729576636 2339256629244 2476859960376 2571315154608 2600972768848 2732022351771 2763533566901 2892729548934 2926094364954 3119008838992 3313946891429 3508884943866 3642696469028 3856972731912 3901459153272 4389141547431 4678513258488 4953719920752 5263327415799 5464044703542 5527067133802 5785459097868 5852188729908 6627893782858 7017769887732 7285392938056 7713945463824 7802918306544 8196067055313 8290600700703 8778283094862 9357026516976 9941840674287 10526654831598 10928089407084 11054134267604 11570918195736 11704377459816 13255787565716 14035539775464 14570785876112 16392134110626 16581201401406 17556566189724 19883681348574 21053309663196 21856178814168 22108268535208 23141836391472 23408754919632 24588201165939 24871802102109 26511575131432 28071079550928 29825522022861 32784268221252 33162402802812 35113132379448 39767362697148 42106619326392 43712357628336 44216537070416 46980070637317 49176402331878 49743604204218 53023150262864 59651044045722 65568536442504 66324805605624 70226264758896 74615406306327 79534725394296 84213238652784 89476566068583 93960141274634 98352804663756 99487208408436 119302088091444 131137072885008 132649611211248 140940211911951 149230812612654 159069450788592 178953132137166 187920282549268 196705609327512 198974416816872 238604176182888 281880423823902 298461625225308 357906264274332 375840565098536 393411218655024 397948833633744 422820635735853 477208352365776 563760847647804 596923250450616 715812528548664 751681130197072 798661200834389 845641271471706 1127521695295608 1193846500901232 1268461907207559 1431625057097328 1597322401668778 1691282542943412 2255043390591216 2395983602503167 2536923814415118 3194644803337556 3382565085886824 4791967205006334 5073847628830236 6389289606675112 6765130171773648 7187950807509501 9583934410012668 10147695257660472 12778579213350224 14375901615019002 19167868820025336 20295390515320944 21563852422528503 28751803230038004 38335737640050672 43127704845057006 57503606460076008 86255409690114012 115007212920152016 172510819380228024 345021638760456048
• Sum of all divisors σ(n): 1057795758908064000
• Sum of proper divisors (its aliquot sum) s(n): 712774120147607952
• 345021638760456048 is an abundant number, because the sum of its proper divisors (712774120147607952) is greater than itself. Its abundance is 367752481387151904

Bases of 345021638760456048

• Binary: 10011001001110000110101101000111010001000111101111101110000₂
• Hexadecimal: 0x4C9C35A3A23DF70
• Base-36: 2MD7YOPV8XO0

Squares and roots of 345021638760456048

• 345021638760456048 squared (345021638760456048²) is 119039931212950627194226648939778304
• 345021638760456048 cubed (345021638760456048³) is 41071352145024187852071702935696199671969151055982592
• The square root of 345021638760456048 is 587385426.0708687757
• The cube root of 345021638760456048 is 701372.5713436743

Scales and comparisons

• 345,021,638,760,456,048 seconds is equal to 10,970,620,890 years, 30 weeks, 1 day, 22 hours, 40 minutes, 48 seconds.
• To count from 1 to 345,021,638,760,456,048 would take you about thirty-two billion, nine hundred eleven million, eight hundred sixty-two thousand, six hundred seventy-one 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 345021638760456048 cubic inches would be around 58447.7 feet tall.

Recreational maths with 345021638760456048

• 345021638760456048 backwards is 840654067836120543
• 345021638760456048 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345021638760456048's digits is 72
• More coming soon!