345605998128048

Names of 345605998128048

• Cardinal: 345605998128048 can be written as Three hundred forty-five trillion, six hundred five billion, nine hundred ninety-eight million, one hundred twenty-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 3.45605998128048 × 10¹⁴

Factors of 345605998128048

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 747

Divisors of 345605998128048

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 227 232 252 261 336 348 406 454 464 479 504 522 609 681 696 812 908 958 1008 1044 1218 1362 1392 1437 1589 1624 1816 1827 1916 2043 2088 2436 2724 2874 3178 3248 3353 3632 3654 3832 4086 4176 4311 4767 4872 5448 5748 6356 6583 6706 7308 7664 8172 8622 9534 9744 10059 10896 11496 12712 13166 13412 13891 14301 14616 16344 17244 19068 19749 20118 22992 25424 26332 26824 27782 28602 29232 30177 32688 34488 38136 39498 40236 41673 46081 51529 52664 53648 55564 57204 59247 60354 68976 76272 78996 80472 83346 92162 97237 103058 105328 108733 111128 114408 118494 120708 125019 138243 154587 157992 160944 166692 184324 194474 206116 217466 222256 228816 229441 236988 241416 250038 276486 291711 309174 315984 326199 333384 360703 368648 388948 412232 414729 434932 458882 463761 473976 482832 500076 552972 583422 618348 652398 666768 688323 721406 737296 761131 777896 824464 829458 869864 875133 917764 927522 947952 978597 1000152 1082109 1105944 1166844 1236696 1304796 1376646 1442812 1494341 1522262 1555792 1606087 1658916 1739728 1750266 1835528 1855044 1957194 2000304 2064969 2164218 2211888 2283393 2333688 2473392 2609592 2753292 2885624 2988682 3044524 3153257 3212174 3246327 3317832 3500532 3671056 3710088 3914388 4129938 4328436 4483023 4566786 4667376 4818261 5219184 5506584 5771248 5977364 6089048 6306514 6424348 6492654 6635664 6653789 6850179 7001064 7420176 7828776 8259876 8656872 8966046 9133572 9459771 9636522 10460387 11013168 11954728 12178096 12613028 12848696 12985308 13307578 13449069 13700358 14002128 14454783 15657552 16519752 17313744 17932092 18267144 18919542 19273044 19961367 20920774 22072799 23909456 24682391 25226056 25697392 25970616 26615156 26898138 27400716 28379313 28909566 31381161 33039504 35864184 36534288 37839084 38546088 39922734 41841548 44145598 46576523 49364782 50452112 51941232 52083107 53230312 53796276 54801432 56758626 57819132 59884101 62762322 66218397 71728368 74047173 75678168 77092176 79845468 83683096 88291196 93153046 94143483 98729564 104166214 106460624 107592552 109602864 113517252 115638264 119768202 125524644 132436794 139729569 148094346 151356336 156249321 159690936 167366192 172776737 176582392 186306092 188286966 197459128 198655191 208332428 215185104 222141519 227034504 231276528 239536404 251049288 264873588 279459138 296188692 312498642 319381872 345553474 353164784 364581749 372612184 376573932 394918256 397310382 416664856 419188707 444283038 454069008 468747963 479072808 502098576 518330211 529747176 558918276 592377384 624997284 691106948 715789339 729163498 745224368 753147864 794620764 833329712 838377414 888566076 937495926 958145616 1036660422 1059494352 1093745247 1117836552 1184754768 1249994568 1382213896 1431578678 1458326996 1506295728 1510410103 1554990633 1589241528 1676754828 1777132152 1874991852 2073320844 2147368017 2187490494 2235673104 2499989136 2764427792 2863157356 2916653992 3020820206 3109981266 3178483056 3281235741 3353509656 3554264304 3749983704 4146641688 4294736034 4374980988 4531230309 5010525373 5726314712 5833307984 6041640412 6219962532 6442104051 6562471482 6707019312 7499967408 8293283376 8589472068 8749961976 9062460618 10021050746 10572870721 11452629424 11822865289 12083280824 12439925064 12884208102 13124942964 13593690927 15031576119 17178944136 17499923952 18124921236 20042101492 21145741442 23645730578 24166561648 24879850128 25768416204 26249885928 27187381854 30063152238 31718612163 34357888272 35468595867 36249842472 40084202984 42291482884 45094728357 47291461156 51536832408 52499771856 54374763708 60126304476 63437224326 70937191734 72499684944 80168405968 82760057023 84582965768 90189456714 94582922312 95155836489 103073664816 106405787601 108749527416 120252608952 126874448652 141874383468 165520114046 169165931536 180378913428 189165844624 190311672978 212811575202 217499054832 240505217904 248280171069 253748897304 283748766936 331040228092 342863093381 360757826856 380623345956 425623150404 496560342138 507497794608 567497533872 662080456184 685726186762 721515653712 744840513207 761246691912 851246300808 993120684276 1028589280143 1324160912368 1371452373524 1489681026414 1522493383824 1702492601616 1986241368552 2057178560286 2400041653667 2742904747048 2979362052828 3085767840429 3972482737104 4114357120572 4800083307334 5485809494096 5958724105656 6171535680858 7200124961001 8228714241144 9600166614668 11917448211312 12343071361716 14400249922002 16457428482288 19200333229336 21600374883003 24686142723432 28800499844004 38400666458672 43200749766006 49372285446864 57600999688008 86401499532012 115201999376016 172802999064024 345605998128048
• Sum of all divisors σ(n): 1150970050173840
• Sum of proper divisors (its aliquot sum) s(n): 805364052045792
• 345605998128048 is an abundant number, because the sum of its proper divisors (805364052045792) is greater than itself. Its abundance is 459758053917744

Bases of 345605998128048

• Binary: 1001110100101001110101010110000000010101110110000₂
• Hexadecimal: 0x13A53AAC02BB0
• Base-36: 3EI97C03W0

Squares and roots of 345605998128048

• 345605998128048 squared (345605998128048²) is 119443505942084317680204290304
• 345605998128048 cubed (345605998128048³) is 41280392091027482860888061304710442356846592
• The square root of 345605998128048 is 18590481.3850542343
• The cube root of 345605998128048 is 70176.8317016305

Scales and comparisons

• 345,605,998,128,048 seconds is equal to 10,989,201 years, 36 weeks, 6 days, 18 hours, 40 minutes, 48 seconds.
• To count from 1 to 345,605,998,128,048 would take you about twenty-seven million, four hundred seventy-three thousand and four 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 345605998128048 cubic inches would be around 5848.1 feet tall.

Recreational maths with 345605998128048

• 345605998128048 backwards is 840821899506543
• 345605998128048 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345605998128048's digits is 72
• More coming soon!