345431215177728

Names of 345431215177728

• Cardinal: 345431215177728 can be written as Three hundred forty-five trillion, four hundred thirty-one billion, two hundred fifteen million, one hundred seventy-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.45431215177728 × 10¹⁴

Factors of 345431215177728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 152

Divisors of 345431215177728

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 97 114 124 128 152 186 192 194 228 248 256 291 304 372 384 388 456 496 512 582 589 608 744 768 776 912 961 992 1024 1164 1178 1216 1488 1536 1552 1767 1824 1843 1922 1984 2048 2328 2356 2432 2883 2976 3007 3072 3104 3534 3648 3686 3844 3968 4096 4656 4712 4864 5529 5766 5952 6014 6144 6208 7068 7296 7372 7688 7936 8192 9021 9312 9424 9728 11058 11532 11904 12028 12288 12416 14136 14592 14744 15376 15872 16384 18042 18259 18624 18848 19456 22116 23064 23808 24056 24576 24832 28272 29184 29488 29791 30752 31744 32768 36084 36518 37248 37696 38912 44232 46128 47616 48112 49152 49664 54777 56544 57133 58368 58976 59582 61504 63488 65536 72168 73036 74496 75392 77824 88464 89373 92256 93217 95232 96224 98304 99328 109554 113088 114266 116736 117952 119164 123008 126976 131072 144336 146072 148992 150784 155648 171399 176928 178746 184512 186434 190464 192448 196608 198656 219108 226176 228532 233472 235904 238328 246016 253952 262144 279651 288672 292144 297984 301568 311296 342798 353856 357492 369024 372868 380928 384896 393216 397312 438216 452352 457064 466944 471808 476656 492032 507904 524288 559302 566029 577344 584288 595968 603136 622592 685596 707712 714984 738048 745736 761856 769792 786432 794624 876432 904704 914128 933888 943616 953312 984064 1015808 1048576 1118604 1132058 1154688 1168576 1191936 1206272 1245184 1371192 1415424 1429968 1476096 1491472 1523712 1539584 1572864 1589248 1698087 1752864 1771123 1809408 1828256 1867776 1887232 1906624 1968128 2031616 2097152 2237208 2264116 2309376 2337152 2383872 2412544 2490368 2742384 2830848 2859936 2889727 2952192 2982944 3047424 3079168 3145728 3178496 3396174 3505728 3542246 3618816 3656512 3735552 3774464 3813248 3936256 4063232 4474416 4528232 4618752 4674304 4767744 4825088 4980736 5313369 5484768 5661696 5719872 5779454 5904384 5965888 6094848 6158336 6291456 6356992 6792348 7011456 7084492 7237632 7313024 7471104 7548928 7626496 7872512 8126464 8669181 8948832 9056464 9237504 9348608 9535488 9650176 9961472 10626738 10969536 11323392 11439744 11558908 11808768 11931776 12189696 12316672 12713984 13584696 14022912 14168984 14475264 14626048 14942208 15097856 15252992 15745024 16252928 17338362 17897664 18112928 18475008 18697216 19070976 19300352 19922944 21253476 21939072 22646784 22879488 23117816 23617536 23863552 24379392 24633344 25427968 27169392 28045824 28337968 28950528 29252096 29884416 30195712 30505984 31490048 32505856 34676724 35795328 36225856 36950016 37394432 38141952 38600704 39845888 42506952 43878144 45293568 45758976 46235632 47235072 47727104 48758784 49266688 50855936 54338784 54904813 56091648 56675936 57901056 58504192 59768832 60391424 61011968 62980096 65011712 69353448 71590656 72451712 73900032 74788864 76283904 77201408 85013904 87756288 90587136 91517952 92471264 94470144 95454208 97517568 98533376 101711872 108677568 109809626 112183296 113351872 115802112 117008384 119537664 120782848 122023936 125960192 138706896 143181312 144903424 147800064 149577728 152567808 154402816 164714439 170027808 175512576 181174272 183035904 184942528 188940288 190908416 195035136 197066752 203423744 217355136 219619252 224366592 226703744 231604224 234016768 241565696 244047872 251920384 277413792 286362624 289806848 295600128 299155456 305135616 308805632 329428878 340055616 351025152 362348544 366071808 369885056 377880576 381816832 394133504 434710272 439238504 448733184 453407488 463208448 468033536 483131392 488095744 503840768 554827584 572725248 579613696 591200256 598310912 610271232 617611264 658857756 680111232 702050304 724697088 732143616 739770112 755761152 763633664 788267008 869420544 878477008 897466368 906814976 926416896 936067072 966262784 976191488 1007681536 1109655168 1145450496 1159227392 1182400512 1196621824 1235222528 1317715512 1360222464 1404100608 1449394176 1464287232 1479540224 1511522304 1527267328 1576534016 1738841088 1756954016 1794932736 1813629952 1852833792 1872134144 1932525568 1952382976 2015363072 2219310336 2290900992 2318454784 2364801024 2393243648 2635431024 2720444928 2808201216 2898788352 2928574464 2959080448 3023044608 3054534656 3153068032 3477682176 3513908032 3589865472 3627259904 3705667584 3744268288 3865051136 3904765952 4438620672 4581801984 4636909568 4729602048 4786487296 5270862048 5440889856 5616402432 5797576704 5857148928 5918160896 6046089216 6109069312 6306136064 6955364352 7027816064 7179730944 7254519808 7488536576 7809531904 8877241344 9163603968 9273819136 9459204096 9572974592 10541724096 10881779712 11232804864 11595153408 11714297856 11836321792 12218138624 13910728704 14055632128 14359461888 14509039616 14977073152 15619063808 17754482688 18327207936 18547638272 18918408192 19145949184 21083448192 21763559424 22465609728 23428595712 23672643584 24436277248 27821457408 28111264256 28718923776 29018079232 29954146304 31238127616 35508965376 36654415872 37095276544 38291898368 42166896384 43527118848 44931219456 46857191424 47345287168 48872554496 55642914816 56222528512 57437847552 58036158464 59908292608 62476255232 71017930752 73308831744 74190553088 84333792768 87054237696 89862438912 93714382848 94690574336 97745108992 111285829632 112445057024 114875695104 116072316928 119816585216 142035861504 146617663488 148381106176 168667585536 174108475392 179724877824 187428765696 189381148672 195490217984 222571659264 224890114048 232144633856 284071723008 293235326976 296762212352 337335171072 348216950784 359449755648 378762297344 445143318528 449780228096 464289267712 568143446016 586470653952 593524424704 674670342144 696433901568 757524594688 890286637056 899560456192 928578535424 1136286892032 1187048849408 1349340684288 1392867803136 1515049189376 1780573274112 1799120912384 1857157070848 2272573784064 2698681368576 2785735606272 3030098378752 3561146548224 3598241824768 3714314141696 4545147568128 5397362737152 5571471212544 6060196757504 7196483649536 9090295136256 10794725474304 11142942425088 14392967299072 18180590272512 21589450948608 28785934598144 43178901897216 57571869196288 86357803794432 115143738392576 172715607588864 345431215177728
• Sum of all divisors σ(n): 1012280600647680
• Sum of proper divisors (its aliquot sum) s(n): 666849385469952
• 345431215177728 is an abundant number, because the sum of its proper divisors (666849385469952) is greater than itself. Its abundance is 321418170292224

Bases of 345431215177728

• Binary: 1001110100010101011111000111000000000000000000000₂
• Hexadecimal: 0x13A2AF8E00000
• Base-36: 3EG0WQQWAO

Squares and roots of 345431215177728

• 345431215177728 squared (345431215177728²) is 119322724419161822990627241984
• 345431215177728 cubed (345431215177728³) is 41217793694428226962836094287110329023332352
• The square root of 345431215177728 is 18585779.9184679899
• The cube root of 345431215177728 is 70164.9995555401

Scales and comparisons

• 345,431,215,177,728 seconds is equal to 10,983,644 years, 7 weeks, 6 days, 23 hours, 8 minutes, 48 seconds.
• To count from 1 to 345,431,215,177,728 would take you about twenty-seven million, four hundred fifty-nine thousand, one hundred ten 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 345431215177728 cubic inches would be around 5847.1 feet tall.

Recreational maths with 345431215177728

• 345431215177728 backwards is 827771512134543
• The number of decimal digits it has is: 15
• The sum of 345431215177728's digits is 60
• More coming soon!