81812918960128000

Names of 81812918960128000

• Cardinal: 81812918960128000 can be written as Eighty-one quadrillion, eight hundred twelve trillion, nine hundred eighteen billion, nine hundred sixty million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 8.1812918960128 × 10¹⁶

Factors of 81812918960128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 414

Divisors of 81812918960128000

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 41 50 59 64 80 82 100 118 125 128 160 164 200 205 236 250 256 295 307 320 328 400 410 472 500 512 590 614 640 656 800 820 944 1000 1024 1025 1180 1228 1280 1312 1475 1535 1600 1640 1681 1888 2000 2048 2050 2360 2419 2456 2560 2624 2950 3070 3200 3280 3362 3776 4000 4096 4100 4720 4838 4912 5120 5125 5248 5900 6140 6400 6560 6724 7375 7552 7675 8000 8192 8200 8405 9440 9676 9824 10240 10250 10496 11800 12095 12280 12587 12800 13120 13448 14750 15104 15350 16000 16384 16400 16810 18113 18880 19352 19648 20480 20500 20992 23600 24190 24560 25174 25600 26240 26896 29500 30208 30700 32000 32768 32800 33620 36226 37760 38375 38704 39296 40960 41000 41984 42025 47200 48380 49120 50348 51200 52480 53792 59000 60416 60475 61400 62935 64000 65536 65600 67240 68921 72452 75520 76750 77408 78592 81920 82000 83968 84050 90565 94400 96760 98240 99179 100696 102400 104960 107584 118000 120832 120950 122800 125870 128000 131072 131200 134480 137842 144904 151040 153500 154816 157184 163840 164000 167936 168100 181130 188800 193520 196480 198358 201392 204800 209920 210125 215168 236000 241664 241900 245600 251740 256000 262144 262400 268960 275684 289808 302080 302375 307000 309632 314368 314675 327680 328000 335872 336200 344605 362260 377600 387040 392960 396716 402784 409600 419840 420250 430336 452825 472000 483328 483800 491200 495895 503480 512000 516067 524288 524800 537920 551368 579616 604160 604750 614000 619264 628736 629350 655360 656000 671744 672400 689210 724520 742633 755200 774080 785920 793432 805568 819200 839680 840500 860672 905650 944000 966656 967600 982400 991790 1006960 1024000 1032134 1049600 1075840 1102736 1159232 1208320 1209500 1228000 1238528 1257472 1258700 1310720 1312000 1343488 1344800 1378420 1449040 1485266 1510400 1548160 1571840 1573375 1586864 1611136 1638400 1679360 1681000 1721344 1723025 1811300 1888000 1933312 1935200 1964800 1983580 2013920 2048000 2064268 2099200 2151680 2205472 2264125 2318464 2416640 2419000 2456000 2477056 2479475 2514944 2517400 2580335 2621440 2624000 2686976 2689600 2756840 2898080 2970532 3020800 3096320 3143680 3146750 3173728 3222272 3276800 3358720 3362000 3442688 3446050 3622600 3713165 3776000 3866624 3870400 3929600 3967160 4027840 4066339 4096000 4128536 4198400 4303360 4410944 4528250 4636928 4833280 4838000 4912000 4954112 4958950 5029888 5034800 5160670 5248000 5373952 5379200 5513680 5796160 5941064 6041600 6192640 6287360 6293500 6347456 6444544 6553600 6717440 6724000 6885376 6892100 7245200 7426330 7552000 7733248 7740800 7859200 7934320 8055680 8132678 8192000 8257072 8396800 8606720 8615125 8821888 9056500 9273856 9666560 9676000 9824000 9908224 9917900 10059776 10069600 10321340 10496000 10747904 10758400 11027360 11592320 11882128 12083200 12385280 12397375 12574720 12587000 12694912 12889088 12901675 13107200 13434880 13448000 13770752 13784200 14490400 14852660 15104000 15466496 15481600 15718400 15868640 16111360 16265356 16384000 16514144 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386662400 396328960 396716000 402391040 402784000 406237184 406633900 412450816 412853600 423174940 430336000 440664064 441094400 463692800 475285120 483328000 487167248 495411200 502988800 507796480 508292375 515563520 516067000 520491392 528452608 528968675 537395200 550830080 551368000 564600832 579616000 593526784 594106400 608959060 619264000 628736000 634126336 634745600 644454400 650614240 660565760 671744000 677079904 688537600 705751040 741908480 742633000 760456192 761198825 773324800 792657920 793432000 804782080 805568000 812474368 813267800 824901632 825707200 846349880 860672000 881328128 882188800 927385600 950570240 966656000 974334496 990822400 1005977600 1015592960 1016584750 1031127040 1032134000 1040982784 1056905216 1057937350 1101660160 1102736000 1129201664 1159232000 1187053568 1188212800 1217918120 1238528000 1248366073 1257472000 1268252672 1269491200 1288908800 1301228480 1321131520 1343488000 1354159808 1377075200 1411502080 1483816960 1485266000 1520912384 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6083649536 6089590600 6241830365 6341263360 6347456000 6444544000 6499794944 6506142400 6599213056 6605657600 6770799040 6885376000 7057510400 7419084800 7604561920 7611988250 7794675968 7926579200 8124743680 8132678000 8249016320 8257072000 8327862272 8455241728 8463498800 8821888000 9033613312 9273856000 9496428544 9505702400 9743344960 9908224000 9986928584 10059776000 10155929600 10311270400 10409827840 10569052160 10579373500 10833278464 11016601600 11292016640 11870535680 11882128000 12167299072 12179181200 12483660730 12694912000 12889088000 12999589888 13012284800 13211315200 13541598080 13770752000 14115020800 14838169600 15209123840 15223976500 15589351936 15853158400 16249487360 16265356000 16498032640 16514144000 16655724544 16910483456 16926997600 17643776000 18067226624 18547712000 19011404800 19486689920 19816448000 19973857168 20119552000 20311859200 20622540800 20819655680 21138104320 21158747000 21666556928 22033203200 22584033280 23741071360 23764256000 24334598144 24358362400 24967321460 25389824000 25778176000 25999179776 26024569600 26422630400 27083196160 27541504000 28230041600 29676339200 30418247680 30447953000 31178703872 31209151825 31706316800 32498974720 32530712000 32996065280 33028288000 33311449088 33820966912 33853995200 35287552000 36134453248 37095424000 38022809600 38973379840 39632896000 39947714336 40623718400 41245081600 41639311360 42276208640 42317494000 43333113856 45168066560 47482142720 47528512000 48669196288 48716724800 49934642920 50779648000 51556352000 51998359552 52049139200 52845260800 54166392320 55083008000 56460083200 59352678400 60836495360 60895906000 62357407744 62418303650 64997949440 65061424000 66056576000 66622898176 67641933824 67707990400 70575104000 74190848000 76045619200 77946759680 79265792000 79895428672 81247436800 82490163200 83278622720 84552417280 84634988000 86666227712 90336133120 95057024000 97338392576 97433449600 99869285840 101559296000 103112704000 104098278400 105690521600 108332784640 110166016000 112920166400 118705356800 121672990720 121791812000 124714815488 124836607300 129995898880 130122848000 132113152000 133245796352 135283867648 135415980800 141150208000 148381696000 152091238400 155893519360 156045759125 158531584000 159790857344 162494873600 164980326400 166557245440 169104834560 169269976000 173332455424 180672266240 190114048000 194676785152 194866899200 199738571680 203118592000 206225408000 208196556800 211381043200 216665569280 225840332800 237410713600 243345981440 243583624000 249429630976 249673214600 259991797760 260245696000 264226304000 266491592704 270567735296 270831961600 282300416000 296763392000 304182476800 311787038720 312091518250 319581714688 324989747200 333114490880 338209669120 338539952000 346664910848 380228096000 389353570304 389733798400 399477143360 406237184000 412450816000 416393113600 422762086400 433331138560 451680665600 486691962880 487167248000 498859261952 499346429200 520491392000 528452608000 532983185408 541663923200 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4227620864000 4333311385600 4516806656000 4866919628800 4988592619520 4993464292000 5113307435008 5329831854080 5416639232000 5546638573568 6083649536000 6235740774400 6391634293760 6499794944000 6662289817600 6764193382400 6933298216960 7794675968000 7981748191232 7989542867200 8327862272000 8455241728000 8666622771200 9733839257600 9977185239040 9986928584000 10226614870016 10659663708160 10833278464000 11093277147136 12167299072000 12471481548800 12783268587520 13324579635200 13866596433920 15589351936000 15963496382464 15979085734400 16655724544000 16910483456000 17333245542400 19954370478080 19973857168000 20453229740032 21666556928000 24334598144000 24942963097600 25566537175040 26649159270400 27733192867840 31178703872000 31958171468800 33311449088000 33820966912000 34666491084800 39908740956160 39947714336000 40906459480064 43333113856000 48669196288000 49885926195200 51133074350080 53298318540800 55466385735680 62357407744000 63916342937600 66622898176000 69332982169600 79817481912320 79895428672000 81812918960128 86666227712000 99771852390400 102266148700160 124714815488000 127832685875200 133245796352000 138665964339200 159790857344000 163625837920256 173332455424000 199543704780800 204532297400320 249429630976000 255665371750400 266491592704000 277331928678400 319581714688000 327251675840512 346664910848000 399087409561600 409064594800640 498859261952000 511330743500800 639163429376000 654503351681024 693329821696000 818129189601280 997718523904000 1022661487001600 1278326858752000 1386659643392000 1636258379202560 1995437047808000 2045322974003200 2556653717504000 3272516758405120 4090645948006400 5113307435008000 8181291896012800 10226614870016000 16362583792025600 20453229740032000 40906459480064000 81812918960128000
• Sum of all divisors σ(n): 213550870557024000
• Sum of proper divisors (its aliquot sum) s(n): 131737951596896000
• 81812918960128000 is an abundant number, because the sum of its proper divisors (131737951596896000) is greater than itself. Its abundance is 49925032636768000

Bases of 81812918960128000

• Binary: 100100010101010000110101010010100101010000000000000000000₂
• Hexadecimal: 0x122A86A94A80000
• Base-36: MDK9C41W1DS

Squares and roots of 81812918960128000

• 81812918960128000 squared (81812918960128000²) is 6693353708776471588853776384000000
• 81812918960128000 cubed (81812918960128000³) is 547602804547601660128359834957527124017152000000000
• The square root of 81812918960128000 is 286029577.0722461493
• The cube root of 81812918960128000 is 434117.5026403199

Scales and comparisons

• 81,812,918,960,128,000 seconds is equal to 2,601,397,758 years, 49 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 81,812,918,960,128,000 would take you about seven billion, eight hundred four million, one hundred ninety-three thousand, two hundred seventy-six 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 81812918960128000 cubic inches would be around 36176.5 feet tall.

Recreational maths with 81812918960128000

• 81812918960128000 backwards is 00082106981921818
• 81812918960128000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 81812918960128000's digits is 64
• More coming soon!