146948858368000

Names of 146948858368000

• Cardinal: 146948858368000 can be written as One hundred forty-six trillion, nine hundred forty-eight billion, eight hundred fifty-eight million, three hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.46948858368 × 10¹⁴

Factors of 146948858368000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 793

Divisors of 146948858368000

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 250 256 260 320 325 338 400 416 500 512 520 640 650 676 773 800 832 845 1000 1024 1040 1280 1300 1352 1546 1600 1625 1664 1690 2000 2048 2080 2197 2560 2600 2704 3092 3200 3250 3328 3380 3865 4000 4096 4160 4225 4394 5120 5200 5408 6184 6400 6500 6656 6760 7730 8000 8320 8450 8788 10049 10240 10400 10816 10985 12368 12800 13000 13312 13520 15460 16000 16640 16900 17576 19325 20098 20480 20800 21125 21632 21970 24736 25600 26000 26624 27040 28561 30920 32000 33280 33800 35152 38650 40196 41600 42250 43264 43940 49472 50245 51200 52000 53248 54080 54925 57122 61840 64000 66560 67600 70304 77300 80392 83200 84500 86528 87880 96625 98944 100490 102400 104000 108160 109850 114244 123680 128000 130637 133120 135200 140608 142805 154600 160784 166400 169000 173056 175760 193250 197888 200980 208000 216320 219700 228488 247360 251225 256000 261274 266240 270400 274625 281216 285610 309200 321568 332800 338000 346112 351520 371293 386500 395776 401960 416000 432640 439400 456976 494720 502450 512000 522548 540800 549250 562432 571220 618400 643136 653185 665600 676000 692224 703040 714025 742586 773000 791552 803920 832000 865280 878800 913952 989440 1004900 1045096 1081600 1098500 1124864 1142440 1236800 1256125 1286272 1306370 1331200 1352000 1406080 1428050 1485172 1546000 1583104 1607840 1664000 1698281 1730560 1757600 1827904 1856465 1978880 2009800 2090192 2163200 2197000 2249728 2284880 2473600 2512250 2572544 2612740 2704000 2812160 2856100 2970344 3092000 3166208 3215680 3265925 3328000 3396562 3461120 3515200 3570125 3655808 3712930 3957760 4019600 4180384 4326400 4394000 4499456 4569760 4947200 5024500 5145088 5225480 5408000 5624320 5712200 5940688 6184000 6431360 6531850 6656000 6793124 7030400 7140250 7311616 7425860 7915520 8039200 8360768 8491405 8652800 8788000 8998912 9139520 9282325 9894400 10049000 10290176 10450960 10816000 11248640 11424400 11881376 12368000 12862720 13063700 13586248 14060800 14280500 14623232 14851720 15831040 16078400 16329625 16721536 16982810 17305600 17576000 18279040 18564650 19788800 20098000 20580352 20901920 21632000 22077653 22497280 22848800 23762752 24736000 25725440 26127400 27172496 28121600 28561000 29246464 29703440 32156800 32659250 33443072 33965620 35152000 36558080 37129300 39577600 40196000 41160704 41803840 42457025 43264000 44155306 44994560 45697600 46411625 47525504 49472000 51450880 52254800 54344992 56243200 57122000 58492928 59406880 64313600 65318500 66886144 67931240 70304000 73116160 74258600 79155200 80392000 83607680 84914050 86528000 88310612 91395200 92823250 95051008 98944000 102901760 104509600 108689984 110388265 112486400 114244000 116985856 118813760 128627200 130637000 133772288 135862480 140608000 146232320 148517200 160784000 167215360 169828100 176621224 182790400 185646500 190102016 197888000 205803520 209019200 212285125 217379968 220776530 224972800 228488000 237627520 257254400 261274000 267544576 271724960 281216000 287009489 292464640 297034400 321568000 334430720 339656200 353242448 365580800 371293000 380204032 395776000 418038400 424570250 434759936 441553060 456976000 475255040 514508800 522548000 535089152 543449920 551941325 562432000 574018978 584929280 594068800 643136000 668861440 679312400 706484896 731161600 742586000 760408064 836076800 849140500 869519872 883106120 913952000 950510080 1029017600 1045096000 1086899840 1103882650 1124864000 1148037956 1188137600 1286272000 1337722880 1358624800 1412969792 1435047445 1462323200 1485172000 1520816128 1672153600 1698281000 1739039744 1766212240 1827904000 1901020160 2090192000 2173799680 2207765300 2296075912 2376275200 2572544000 2675445760 2717249600 2759706625 2825939584 2870094890 2924646400 2970344000 3344307200 3396562000 3478079488 3532424480 3655808000 3802040320 4180384000 4347599360 4415530600 4592151824 4752550400 5145088000 5434499200 5519413250 5651879168 5740189780 5940688000 6688614400 6793124000 6956158976 7064848960 7175237225 7311616000 7604080640 8360768000 8695198720 8831061200 9184303648 9505100800 10868998400 11038826500 11303758336 11480379560 11881376000 13377228800 13586248000 14129697920 14350474450 14623232000 16721536000 17390397440 17662122400 18368607296 19010201600 21737996800 22077653000 22607516672 22960759120 23762752000 27172496000 28259395840 28700948900 33443072000 34780794880 35324244800 35876186125 36737214592 38020403200 43475993600 44155306000 45215033344 45921518240 47525504000 54344992000 56518791680 57401897800 66886144000 70648489600 71752372250 73474429184 86951987200 88310612000 90430066688 91843036480 95051008000 108689984000 113037583360 114803795600 141296979200 143504744500 146948858368 173903974400 176621224000 183686072960 190102016000 217379968000 226075166720 229607591200 282593958400 287009489000 293897716736 353242448000 367372145920 434759936000 452150333440 459215182400 565187916800 574018978000 587795433472 706484896000 734744291840 869519872000 918430364800 1130375833600 1148037956000 1175590866944 1412969792000 1469488583680 1836860729600 2260751667200 2296075912000 2825939584000 2938977167360 3673721459200 4592151824000 5651879168000 5877954334720 7347442918400 9184303648000 11303758336000 14694885836800 18368607296000 29389771673600 36737214592000 73474429184000 146948858368000
• Sum of all divisors σ(n): 397815099108336
• Sum of proper divisors (its aliquot sum) s(n): 250866240740336
• 146948858368000 is an abundant number, because the sum of its proper divisors (250866240740336) is greater than itself. Its abundance is 103917382372336

Bases of 146948858368000

• Binary: 100001011010011000110010100000001101000000000000₂
• Hexadecimal: 0x85A63280D000
• Base-36: 1G37DG5Y4G

Squares and roots of 146948858368000

• 146948858368000 squared (146948858368000²) is 21593966975658523623424000000
• 146948858368000 cubed (146948858368000³) is 3173208794709313691470515543212032000000000
• The square root of 146948858368000 is 12122246.4241575291
• The cube root of 146948858368000 is 52770.1998354011

Scales and comparisons

• 146,948,858,368,000 seconds is equal to 4,672,519 years, 7 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 146,948,858,368,000 would take you about eleven million, six hundred eighty-one thousand, two hundred ninety-seven 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 146948858368000 cubic inches would be around 4397.5 feet tall.

Recreational maths with 146948858368000

• 146948858368000 backwards is 000863858849641
• The number of decimal digits it has is: 15
• The sum of 146948858368000's digits is 70
• More coming soon!