45968384000

Names of 45968384000

• Cardinal: 45968384000 can be written as Forty-five billion, nine hundred sixty-eight million, three hundred eighty-four thousand.

Scientific notation

• Scientific notation: 4.5968384 × 10¹⁰

Factors of 45968384000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 78

Divisors of 45968384000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 53 55 56 64 70 77 80 88 100 106 110 112 121 125 128 140 154 160 175 176 200 212 220 224 242 250 256 265 275 280 308 320 350 352 371 385 400 424 440 448 484 500 512 530 550 560 583 605 616 640 700 704 742 770 800 847 848 875 880 896 968 1000 1024 1060 1100 1120 1166 1210 1232 1280 1325 1375 1400 1408 1484 1540 1600 1694 1696 1750 1760 1792 1855 1925 1936 2000 2048 2120 2200 2240 2332 2420 2464 2560 2650 2750 2800 2816 2915 2968 3025 3080 3200 3388 3392 3500 3520 3584 3710 3850 3872 4000 4081 4096 4235 4240 4400 4480 4664 4840 4928 5120 5300 5500 5600 5632 5830 5936 6050 6160 6400 6413 6625 6776 6784 7000 7040 7168 7420 7700 7744 8000 8162 8192 8470 8480 8800 8960 9275 9328 9625 9680 9856 10240 10600 11000 11200 11264 11660 11872 12100 12320 12800 12826 13250 13552 13568 14000 14080 14336 14575 14840 15125 15400 15488 16000 16324 16940 16960 17600 17920 18550 18656 19250 19360 19712 20405 20480 21175 21200 22000 22400 22528 23320 23744 24200 24640 25600 25652 26500 27104 27136 28000 28160 28672 29150 29680 30250 30800 30976 32000 32065 32648 33880 33920 35200 35840 37100 37312 38500 38720 39424 40810 40960 42350 42400 44000 44800 44891 45056 46375 46640 47488 48400 49280 51200 51304 53000 54208 54272 56000 56320 57344 58300 59360 60500 61600 61952 64000 64130 65296 67760 67840 70400 71680 72875 74200 74624 77000 77440 78848 81620 84700 84800 88000 89600 89782 90112 92750 93280 94976 96800 98560 102025 102400 102608 105875 106000 108416 108544 112000 112640 116600 118720 121000 123200 123904 128000 128260 130592 135520 135680 140800 143360 145750 148400 149248 154000 154880 157696 160325 163240 169400 169600 176000 179200 179564 185500 186560 189952 193600 197120 204050 204800 205216 211750 212000 216832 217088 224000 224455 225280 233200 237440 242000 246400 247808 256000 256520 261184 271040 271360 281600 286720 291500 296800 298496 308000 309760 315392 320650 326480 338800 339200 352000 358400 359128 371000 373120 379904 387200 394240 408100 410432 423500 424000 433664 434176 448000 448910 450560 466400 474880 484000 492800 495616 510125 512000 513040 522368 542080 542720 563200 583000 593600 596992 616000 619520 630784 641300 652960 677600 678400 704000 716800 718256 742000 746240 759808 774400 788480 801625 816200 820864 847000 848000 867328 896000 897820 932800 949760 968000 985600 991232 1020250 1024000 1026080 1044736 1084160 1085440 1122275 1126400 1166000 1187200 1193984 1232000 1239040 1282600 1305920 1355200 1356800 1408000 1433600 1436512 1484000 1492480 1519616 1548800 1576960 1603250 1632400 1641728 1694000 1696000 1734656 1792000 1795640 1865600 1899520 1936000 1971200 2040500 2052160 2089472 2168320 2170880 2244550 2252800 2332000 2374400 2387968 2464000 2478080 2565200 2611840 2710400 2713600 2816000 2873024 2968000 2984960 3039232 3097600 3153920 3206500 3264800 3283456 3388000 3392000 3469312 3584000 3591280 3731200 3799040 3872000 3942400 4081000 4104320 4178944 4336640 4489100 4664000 4748800 4775936 4928000 4956160 5130400 5223680 5420800 5427200 5611375 5632000 5746048 5936000 5969920 6195200 6413000 6529600 6566912 6776000 6784000 6938624 7168000 7182560 7462400 7598080 7744000 7884800 8162000 8208640 8357888 8673280 8978200 9328000 9497600 9856000 10260800 10447360 10841600 10854400 11222750 11264000 11492096 11872000 11939840 12390400 12826000 13059200 13133824 13552000 13568000 14365120 14924800 15196160 15488000 15769600 16324000 16417280 16715776 17346560 17956400 18656000 18995200 19712000 20521600 20894720 21683200 22445500 22984192 23744000 23879680 24780800 25652000 26118400 26267648 27104000 27136000 28730240 29849600 30976000 32648000 32834560 33431552 34693120 35912800 37312000 37990400 39424000 41043200 41789440 43366400 44891000 45968384 47488000 51304000 52236800 52535296 54208000 54272000 57460480 59699200 61952000 65296000 65669120 71825600 74624000 75980800 78848000 82086400 83578880 86732800 89782000 91936768 94976000 102608000 104473600 108416000 114920960 119398400 123904000 130592000 131338240 143651200 149248000 164172800 167157760 173465600 179564000 183873536 189952000 205216000 208947200 216832000 229841920 261184000 262676480 287302400 298496000 328345600 359128000 367747072 379904000 410432000 417894400 433664000 459683840 522368000 574604800 596992000 656691200 718256000 820864000 835788800 867328000 919367680 1044736000 1149209600 1313382400 1436512000 1641728000 1838735360 2089472000 2298419200 2873024000 3283456000 4178944000 4596838400 5746048000 6566912000 9193676800 11492096000 22984192000 45968384000
• Sum of all divisors σ(n): 146843057088
• Sum of proper divisors (its aliquot sum) s(n): 100874673088
• 45968384000 is an abundant number, because the sum of its proper divisors (100874673088) is greater than itself. Its abundance is 54906289088

Bases of 45968384000

• Binary: 101010110011111011011110000000000000₂
• Hexadecimal: 0xAB3EDE000
• Base-36: L48E03K

Squares and roots of 45968384000

• 45968384000 squared (45968384000²) is 2113092327571456000000
• 45968384000 cubed (45968384000³) is 97135439541258476847104000000000
• The square root of 45968384000 is 214402.3880464021
• The cube root of 45968384000 is 3582.2268014189

Scales and comparisons

• 45,968,384,000 seconds is equal to 1,461 years, 33 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 45,968,384,000 would take you about two thousand, nine hundred twenty-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 45968384000 cubic inches would be around 298.5 feet tall.

Recreational maths with 45968384000

• 45968384000 backwards is 00048386954
• The number of decimal digits it has is: 11
• The sum of 45968384000's digits is 47
• More coming soon!