45828816000

Names of 45828816000

• Cardinal: 45828816000 can be written as Forty-five billion, eight hundred twenty-eight million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 4.5828816 × 10¹⁰

Factors of 45828816000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 164

Divisors of 45828816000

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 41 44 48 50 55 58 60 64 66 73 75 80 82 87 88 96 100 110 116 120 123 125 128 132 145 146 150 160 164 165 174 176 192 200 205 219 220 232 240 246 250 264 275 290 292 300 319 320 328 330 348 352 365 375 384 400 410 435 438 440 451 464 480 492 500 528 550 580 584 600 615 638 640 656 660 696 704 725 730 750 800 803 820 825 870 876 880 902 928 957 960 984 1000 1025 1056 1095 1100 1160 1168 1189 1200 1230 1276 1312 1320 1353 1375 1392 1408 1450 1460 1500 1595 1600 1606 1640 1650 1740 1752 1760 1804 1825 1856 1914 1920 1968 2000 2050 2112 2117 2175 2190 2200 2255 2320 2336 2378 2400 2409 2460 2552 2624 2640 2706 2750 2784 2900 2920 2993 3000 3075 3190 3200 3212 3280 3300 3480 3504 3520 3567 3608 3625 3650 3712 3828 3936 4000 4015 4100 4125 4224 4234 4350 4380 4400 4510 4640 4672 4756 4785 4800 4818 4920 5104 5125 5248 5280 5412 5475 5500 5568 5800 5840 5945 5986 6000 6150 6351 6380 6424 6560 6600 6765 6960 7008 7040 7134 7216 7250 7300 7656 7872 7975 8000 8030 8200 8250 8468 8700 8760 8800 8979 9020 9125 9280 9344 9512 9570 9600 9636 9840 10208 10250 10560 10585 10824 10875 10950 11000 11136 11275 11600 11680 11890 11972 12000 12045 12300 12702 12760 12848 13079 13120 13200 13530 13920 14016 14268 14432 14500 14600 14965 15312 15375 15744 15950 16000 16060 16400 16500 16936 17400 17520 17600 17835 17958 18040 18250 18560 19024 19140 19272 19680 20075 20416 20500 21120 21170 21648 21750 21900 22000 22550 23200 23287 23360 23780 23925 23944 24000 24090 24600 25404 25520 25696 26158 26240 26400 27060 27375 27840 28032 28536 28864 29000 29200 29725 29930 30624 30750 31755 31900 32120 32800 32923 33000 33825 33872 34800 35040 35200 35670 35916 36080 36500 38048 38280 38544 39237 39360 39875 40150 40832 41000 42340 43296 43500 43800 44000 44895 45100 46400 46574 46720 47560 47850 47888 48000 48180 49200 50808 51040 51392 52316 52800 52925 54120 54750 55680 56375 57072 57728 58000 58400 59450 59860 60225 61248 61500 63510 63800 64240 65395 65600 65846 66000 67650 67744 69600 69861 70080 71340 71832 72160 73000 74825 76096 76560 77088 78474 78720 79750 80300 82000 84680 86592 86797 87000 87600 88000 89175 89790 90200 92800 93148 95120 95700 95776 96360 98400 98769 100375 101616 102080 102784 104632 105600 105850 108240 109500 112750 114144 116000 116435 116800 118900 119625 119720 120450 122496 123000 127020 127600 128480 130790 131200 131692 132000 135300 135488 139200 139722 140160 142680 143664 144320 146000 148625 149650 152192 153120 154176 156948 158775 159500 160600 164000 164615 169125 169360 173184 173594 174000 175200 176000 178350 179580 180400 186296 190240 191400 191552 192720 196185 196800 197538 200750 203232 204160 209264 211700 216480 219000 224475 225500 228288 232000 232870 233600 237800 239250 239440 240900 246000 254040 255200 256960 260391 261580 263384 264000 264625 270600 270976 278400 279444 285360 287328 288640 292000 297250 299300 301125 306240 308352 313896 317550 319000 321200 326975 328000 329230 338250 338720 347188 348000 349305 350400 356700 359160 360800 372592 374125 380480 382800 383104 385440 392370 393600 395076 401500 406464 418528 423400 432960 433985 438000 445875 448950 451000 456576 464000 465740 475600 478500 478880 481800 492000 493845 508080 510400 513920 520782 523160 526768 528000 529250 541200 558888 570720 574656 582175 584000 594500 598600 602250 612480 627792 635100 638000 642400 653950 656000 658460 676500 677440 694376 696000 698610 700800 713400 718320 721600 745184 748250 760960 765600 770880 784740 790152 793875 803000 812928 823075 837056 846800 865920 867970 876000 891750 897900 902000 931480 951200 954767 957000 957760 963600 980925 984000 987690 1016160 1020800 1041564 1046320 1053536 1058500 1082400 1117776 1122375 1141440 1149312 1164350 1168000 1189000 1197200 1204500 1255584 1270200 1276000 1284800 1301955 1307900 1316920 1353000 1354880 1388752 1392000 1397220 1426800 1436640 1443200 1490368 1496500 1531200 1541760 1569480 1580304 1587750 1606000 1634875 1646150 1674112 1693600 1735940 1746525 1752000 1783500 1795800 1804000 1862960 1902400 1909534 1914000 1915520 1927200 1961850 1968000 1975380 2032320 2083128 2092640 2107072 2117000 2164800 2169925 2235552 2244750 2282880 2328700 2378000 2394400 2409000 2469225 2511168 2540400 2552000 2569600 2603910 2615800 2633840 2706000 2777504 2794440 2853600 2864301 2873280 2910875 2980736 2993000 3062400 3138960 3160608 3175500 3212000 3269750 3292300 3387200 3471880 3493050 3504000 3567000 3591600 3608000 3725920 3804800 3819068 3828000 3854400 3923700 3950760 4064640 4115375 4166256 4185280 4214144 4234000 4329600 4339850 4471104 4489500 4657400 4756000 4773835 4788800 4818000 4904625 4938450 5022336 5080800 5104000 5207820 5231600 5267680 5412000 5555008 5588880 5707200 5728602 5746560 5821750 5986000 6277920 6321216 6351000 6424000 6509775 6539500 6584600 6774400 6943760 6986100 7134000 7183200 7216000 7451840 7638136 7656000 7708800 7847400 7901520 8230750 8332512 8370560 8468000 8679700 8732625 8942208 8979000 9314800 9512000 9547670 9577600 9636000 9809250 9876900 10161600 10415640 10463200 10535360 10824000 10849625 11110016 11177760 11414400 11457204 11643500 11972000 12346125 12555840 12642432 12702000 12848000 13019550 13079000 13169200 13887520 13972200 14268000 14321505 14366400 14903680 15276272 15312000 15694800 15803040 16461500 16665024 16936000 17359400 17465250 17958000 18629600 19024000 19095340 19272000 19618500 19753800 20323200 20831280 20926400 21070720 21648000 21699250 22355520 22914408 23287000 23869175 23944000 24692250 25111680 25404000 26039100 26158000 26338400 27775040 27944400 28536000 28643010 28732800 30552544 31389600 31606080 32548875 32923000 33330048 33872000 34718800 34930500 35916000 37259200 38190680 38544000 39237000 39507600 41662560 41852800 43398500 44711040 45828816 46574000 47738350 47888000 49384500 50808000 52078200 52316000 52676800 55550080 55888800 57072000 57286020 61105088 62779200 63212160 65097750 65846000 69437600 69861000 71607525 71832000 74518400 76381360 78474000 79015200 83325120 86797000 91657632 93148000 95476700 98769000 101616000 104156400 104632000 105353600 111777600 114572040 119345875 122210176 125558400 130195500 131692000 138875200 139722000 143215050 143664000 152762720 156948000 158030400 166650240 173594000 183315264 186296000 190953400 197538000 208312800 209264000 223555200 229144080 238691750 260391000 263384000 277750400 279444000 286430100 305525440 313896000 316060800 347188000 358037625 366630528 372592000 381906800 395076000 416625600 458288160 477383500 520782000 526768000 558888000 572860200 611050880 627792000 694376000 716075250 763813600 790152000 833251200 916576320 954767000 1041564000 1117776000 1145720400 1388752000 1432150500 1527627200 1580304000 1833152640 1909534000 2083128000 2291440800 2864301000 3055254400 3819068000 4166256000 4582881600 5728602000 7638136000 9165763200 11457204000 15276272000 22914408000 45828816000
• Sum of all divisors σ(n): 178036185600
• Sum of proper divisors (its aliquot sum) s(n): 132207369600
• 45828816000 is an abundant number, because the sum of its proper divisors (132207369600) is greater than itself. Its abundance is 86378553600

Bases of 45828816000

• Binary: 101010101011100111000011110010000000₂
• Hexadecimal: 0xAAB9C3C80
• Base-36: L1XAKQO

Squares and roots of 45828816000

• 45828816000 squared (45828816000²) is 2100280375961856000000
• 45828816000 cubed (45828816000³) is 96253362898366721642496000000000
• The square root of 45828816000 is 214076.6591667573
• The cube root of 45828816000 is 3578.5977051093

Scales and comparisons

• 45,828,816,000 seconds is equal to 1,457 years, 11 weeks, 1 day, 2 hours, 40 minutes.
• To count from 1 to 45,828,816,000 would take you about two thousand, nine hundred fourteen 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 45828816000 cubic inches would be around 298.2 feet tall.

Recreational maths with 45828816000

• 45828816000 backwards is 00061882854
• The number of decimal digits it has is: 11
• The sum of 45828816000's digits is 42
• More coming soon!