164948421804032000

Names of 164948421804032000

• Cardinal: 164948421804032000 can be written as One hundred sixty-four quadrillion, nine hundred forty-eight trillion, four hundred twenty-one billion, eight hundred four million, thirty-two thousand.

Scientific notation

• Scientific notation: 1.64948421804032 × 10¹⁷

Factors of 164948421804032000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 477

Divisors of 164948421804032000

• Number of divisors d(n): 608
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 256 320 373 388 400 485 500 512 640 746 776 800 970 1000 1024 1280 1492 1552 1600 1865 1940 2000 2048 2425 2560 2984 3104 3200 3730 3880 4000 4096 4850 5120 5968 6208 6400 7460 7760 8000 8192 9325 9700 10240 11936 12125 12416 12800 14920 15520 16000 16384 18650 19400 20480 23872 24250 24832 25600 29840 31040 32000 32768 36181 37300 38800 40960 46625 47744 48500 49664 51200 59680 62080 64000 65536 72362 74600 77600 81920 93250 95488 97000 99328 102400 119360 124160 128000 131072 139129 144724 149200 155200 163840 180905 186500 190976 194000 198656 204800 238720 248320 256000 262144 278258 289448 298400 310400 327680 361810 373000 381952 388000 397312 409600 477440 496640 512000 556516 578896 596800 620800 655360 695645 723620 746000 763904 776000 794624 819200 904525 954880 993280 1024000 1113032 1157792 1193600 1241600 1310720 1391290 1447240 1492000 1527808 1552000 1589248 1638400 1809050 1909760 1986560 2048000 2226064 2315584 2387200 2483200 2782580 2894480 2984000 3055616 3104000 3178496 3276800 3478225 3618100 3819520 3973120 4096000 4452128 4522625 4631168 4774400 4966400 5565160 5788960 5968000 6111232 6208000 6356992 6553600 6956450 7236200 7639040 7946240 8192000 8904256 9045250 9262336 9548800 9932800 11130320 11577920 11936000 12222464 12416000 12713984 13495513 13912900 14472400 15278080 15892480 16384000 17391125 17808512 18090500 18524672 19097600 19865600 22260640 23155840 23872000 24444928 24832000 25427968 26991026 27825800 28944800 30556160 31784960 32768000 34782250 35617024 36181000 37049344 38195200 39731200 44521280 46311680 47744000 48889856 49664000 51895117 53982052 55651600 57889600 61112320 63569920 67477565 69564500 71234048 72362000 74098688 76390400 79462400 89042560 92623360 95488000 97779712 99328000 103790234 107964104 111303200 115779200 122224640 127139840 134955130 139129000 142468096 144724000 148197376 152780800 158924800 178085120 185246720 190976000 198656000 207580468 215928208 222606400 231558400 244449280 259475585 269910260 278258000 284936192 289448000 296394752 305561600 317849600 337387825 356170240 370493440 381952000 397312000 415160936 431856416 445212800 463116800 488898560 518951170 539820520 556516000 569872384 578896000 592789504 611123200 635699200 674775650 712340480 740986880 763904000 794624000 830321872 863712832 890425600 926233600 1037902340 1079641040 1113032000 1139744768 1157792000 1185579008 1222246400 1297377925 1349551300 1424680960 1481973760 1527808000 1589248000 1660643744 1686939125 1727425664 1780851200 1852467200 2075804680 2159282080 2226064000 2279489536 2315584000 2371158016 2444492800 2594755850 2699102600 2849361920 2963947520 3055616000 3178496000 3321287488 3373878250 3454851328 3561702400 3704934400 4151609360 4318564160 4452128000 4558979072 4631168000 4742316032 5033826349 5189511700 5398205200 5698723840 5927895040 6111232000 6486889625 6642574976 6747756500 6909702656 7123404800 7409868800 8303218720 8637128320 8904256000 9117958144 9262336000 9484632064 10067652698 10379023400 10796410400 11397447680 11855790080 12222464000 12973779250 13285149952 13495513000 13819405312 14246809600 14819737600 16606437440 17274256640 17808512000 18235916288 18524672000 20135305396 20758046800 21592820800 22794895360 23711580160 25169131745 25947558500 26570299904 26991026000 27638810624 28493619200 29639475200 33212874880 34548513280 35617024000 36471832576 37049344000 40270610792 41516093600 43185641600 45589790720 47423160320 50338263490 51895117000 53140599808 53982052000 55277621248 56987238400 59278950400 66425749760 69097026560 71234048000 74098688000 80541221584 83032187200 86371283200 91179581440 100676526980 103790234000 106281199616 107964104000 110555242496 113974476800 118557900800 125845658725 132851499520 138194053120 142468096000 148197376000 161082443168 166064374400 172742566400 182359162880 201353053960 207580468000 212562399232 215928208000 221110484992 227948953600 237115801600 251691317450 265702999040 276388106240 284936192000 296394752000 322164886336 332128748800 345485132800 402706107920 415160936000 425124798464 431856416000 442220969984 455897907200 503382634900 531405998080 552776212480 569872384000 592789504000 629228293625 644329772672 664257497600 690970265600 805412215840 830321872000 850249596928 863712832000 884441939968 911795814400 1006765269800 1062811996160 1105552424960 1139744768000 1185579008000 1258456587250 1288659545344 1328514995200 1381940531200 1610824431680 1660643744000 1700499193856 1727425664000 1768883879936 2013530539600 2125623992320 2211104849920 2279489536000 2516913174500 2577319090688 2657029990400 2763881062400 3221648863360 3321287488000 3400998387712 3454851328000 3537767759872 4027061079200 4251247984640 4422209699840 4558979072000 5033826349000 5154638181376 5314059980800 5527762124800 6443297726720 6642574976000 6801996775424 6909702656000 8054122158400 8502495969280 8844419399680 10067652698000 10309276362752 10628119961600 11055524249600 12886595453440 13285149952000 13603993550848 13819405312000 16108244316800 17004991938560 17688838799360 20135305396000 20618552725504 21256239923200 22111048499200 25773190906880 26570299904000 27638810624000 32216488633600 34009983877120 40270610792000 41237105451008 42512479846400 44222096998400 51546381813760 53140599808000 55277621248000 64432977267200 68019967754240 80541221584000 82474210902016 85024959692800 88444193996800 103092763627520 106281199616000 110555242496000 128865954534400 161082443168000 164948421804032 170049919385600 206185527255040 212562399232000 221110484992000 257731909068800 322164886336000 329896843608064 340099838771200 412371054510080 425124798464000 442220969984000 515463818137600 644329772672000 659793687216128 824742109020160 850249596928000 1030927636275200 1288659545344000 1319587374432256 1649484218040320 1700499193856000 2061855272550400 2577319090688000 3298968436080640 4123710545100800 5154638181376000 6597936872161280 8247421090201600 10309276362752000 16494842180403200 20618552725504000 32989684360806400 41237105451008000 82474210902016000 164948421804032000
• Sum of all divisors σ(n): 417073071786090720
• Sum of proper divisors (its aliquot sum) s(n): 252124649982058720
• 164948421804032000 is an abundant number, because the sum of its proper divisors (252124649982058720) is greater than itself. Its abundance is 87176228178026720

Bases of 164948421804032000

• Binary: 1001001010000000111011011100110111111001000000000000000000₂
• Hexadecimal: 0x24A03B737E40000
• Base-36: 1945C2VG2QRK

Squares and roots of 164948421804032000

• 164948421804032000 squared (164948421804032000²) is 27207981855640859313411457024000000
• 164948421804032000 cubed (164948421804032000³) is 4487913667560697754184995354898999717920768000000000
• The square root of 164948421804032000 is 406138426.8990463305
• The cube root of 164948421804032000 is 548423.4984938323

Scales and comparisons

• 164,948,421,804,032,000 seconds is equal to 5,244,849,594 years, 20 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 164,948,421,804,032,000 would take you about fifteen billion, seven hundred thirty-four million, five hundred forty-eight thousand, seven hundred eighty-three 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 164948421804032000 cubic inches would be around 45702 feet tall.

Recreational maths with 164948421804032000

• 164948421804032000 backwards is 000230408124849461
• The number of decimal digits it has is: 18
• The sum of 164948421804032000's digits is 56
• More coming soon!