21480016800
21,480,016,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21480016800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
21480016800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 21480016800:
25 × 3 × 52 × 112 × 17 × 19 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 17 × 19 × 229)See below for interesting mathematical facts about the number 21480016800 from the Numbermatics database.
Names of 21480016800
- Cardinal: 21480016800 can be written as Twenty-one billion, four hundred eighty million, sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.14800168 × 1010
Factors of 21480016800
Divisors of 21480016800
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 19 20 22 24 25 30 32 33 34 38 40 44 48 50 51 55 57 60 66 68 75 76 80 85 88 95 96 100 102 110 114 120 121 132 136 150 152 160 165 170 176 187 190 200 204 209 220 228 229 240 242 255 264 272 275 285 300 304 323 330 340 352 363 374 380 400 408 418 425 440 456 458 475 480 484 510 528 544 550 561 570 600 605 608 627 646 660 680 687 726 748 760 800 816 825 836 850 880 912 916 935 950 968 969 1020 1045 1056 1100 1122 1140 1145 1200 1210 1254 1275 1292 1320 1360 1374 1425 1452 1496 1520 1615 1632 1650 1672 1700 1760 1815 1824 1832 1870 1900 1936 1938 2040 2057 2090 2200 2244 2280 2290 2299 2400 2420 2508 2519 2550 2584 2640 2720 2748 2805 2850 2904 2992 3025 3040 3135 3230 3300 3344 3400 3435 3553 3630 3664 3740 3800 3872 3876 3893 4080 4114 4180 4351 4400 4488 4560 4580 4598 4675 4840 4845 5016 5038 5100 5168 5225 5280 5496 5610 5700 5725 5808 5984 6050 6171 6270 6460 6600 6688 6800 6870 6897 7106 7260 7328 7480 7557 7600 7752 7786 8075 8160 8228 8360 8702 8800 8976 9075 9120 9160 9196 9350 9680 9690 10032 10076 10200 10285 10336 10450 10659 10992 11220 11400 11450 11495 11616 11679 12100 12342 12540 12595 12920 13053 13200 13600 13740 13794 14025 14212 14520 14960 15114 15200 15504 15572 15675 16150 16456 16720 17175 17404 17765 17952 18150 18320 18392 18700 19360 19380 19465 20064 20152 20400 20570 20900 21318 21755 21984 22440 22800 22900 22990 23358 24200 24225 24684 25080 25190 25840 26106 26400 27480 27588 27709 28050 28424 29040 29920 30228 30855 31008 31144 31350 32300 32912 33440 34350 34485 34808 35530 36300 36640 36784 37400 37785 38760 38930 39083 40304 40800 41140 41800 42636 42823 43510 44880 45600 45800 45980 46716 47861 48400 48450 49368 50160 50380 51425 51680 52212 53295 54960 55176 55418 56100 56848 57475 58080 58395 60456 61710 62288 62700 62975 64600 65265 65824 68700 68970 69616 71060 72600 73568 73967 74800 75570 77520 77860 78166 80608 82280 83127 83600 85272 85646 87020 88825 89760 91600 91960 93432 95722 96800 96900 97325 98736 100320 100760 102850 104424 106590 108775 109920 110352 110836 112200 113696 114950 116790 117249 120912 123420 124576 125400 125950 128469 129200 130530 137400 137940 138545 139232 142120 143583 145200 147934 149600 151140 154275 155040 155720 156332 164560 166254 167200 170544 171292 172425 174040 177650 183200 183920 186864 188925 191444 193800 194650 195415 197472 201520 205700 208848 213180 214115 217550 220704 221672 221901 224400 229900 233580 234498 239305 241824 246840 250800 251900 256938 258400 261060 266475 274800 275880 277090 284240 287166 290400 291975 295868 302280 308550 311440 312664 326325 329120 332508 341088 342584 344850 348080 355300 367840 369835 373728 377850 382888 387600 389300 390830 403040 411400 415635 417696 426360 428230 435100 443344 443802 448800 459800 467160 468996 471053 478610 493680 501600 503800 513876 522120 526471 532950 549600 551760 554180 568480 574332 583950 586245 591736 604560 617100 622880 625328 642345 652650 665016 685168 689700 692725 696160 710600 717915 739670 755700 765776 775200 778600 781660 813637 822800 831270 852720 856460 870200 886688 887604 919600 934320 937992 942106 957220 977075 987360 1007600 1027752 1044240 1052942 1065900 1070575 1103520 1108360 1109505 1148664 1167900 1172490 1183472 1196525 1209120 1234200 1250656 1284690 1305300 1330032 1370336 1379400 1385450 1413159 1421200 1435830 1479340 1511400 1531552 1557200 1563320 1579413 1627274 1645600 1662540 1705440 1712920 1740400 1775208 1839200 1849175 1868640 1875984 1884212 1914440 1954150 2015200 2055504 2078175 2088480 2105884 2131800 2141150 2216720 2219010 2297328 2335800 2344980 2355265 2366944 2393050 2440911 2468400 2569380 2610600 2632355 2660064 2758800 2770900 2826318 2842400 2871660 2931225 2958680 3022800 3114400 3126640 3158826 3211725 3254548 3325080 3425840 3480800 3550416 3589575 3698350 3751968 3768424 3828880 3908300 4068185 4111008 4156350 4211768 4263600 4282300 4433440 4438020 4594656 4671600 4689960 4710530 4786100 4881822 4936800 5138760 5221200 5264710 5517600 5541800 5547525 5652636 5743320 5862450 5917360 6045600 6253280 6317652 6423450 6509096 6650160 6851680 7065795 7100832 7179150 7396700 7536848 7657760 7816600 7897065 8136370 8312700 8423536 8527200 8564600 8876040 8950007 9343200 9379920 9421060 9572200 9763644 10277520 10442400 10529420 11083600 11095050 11305272 11486640 11724900 11776325 11834720 12204555 12635304 12846900 13018192 13161775 13300320 14131590 14358300 14793400 15073696 15633200 15794130 16272740 16625400 16847072 17129200 17752080 17900014 18759840 18842120 19144400 19527288 20340925 20555040 21058840 22167200 22190100 22610544 22973280 23449800 23552650 24409110 25270608 25693800 26036384 26323550 26850021 28263180 28716600 29586800 31266400 31588260 32545480 33250800 34258400 35328975 35504160 35800028 37684240 38288800 39054576 39485325 40681850 42117680 44380200 44750035 45221088 46899600 47105300 48818220 50541216 51387600 52647100 53700042 56526360 57433200 59173600 61022775 63176520 65090960 66501600 70657950 71600056 75368480 78109152 78970650 81363700 84235360 88760400 89500070 93799200 94210600 97636440 102775200 105294200 107400084 113052720 114866400 122045550 126353040 130181920 134250105 141315900 143200112 157941300 162727400 177520800 179000140 188421200 195272880 210588400 214800168 223750175 226105440 244091100 252706080 268500210 282631800 286400224 315882600 325454800 358000280 376842400 390545760 421176800 429600336 447500350 488182200 537000420 565263600 631765200 650909600 671250525 716000560 859200672 895000700 976364400 1074000840 1130527200 1263530400 1342501050 1432001120 1790001400 1952728800 2148001680 2685002100 3580002800 4296003360 5370004200 7160005600 10740008400 21480016800
- Sum of all divisors σ(n): 86028868800
- Sum of proper divisors (its aliquot sum) s(n): 64548852000
- 21480016800 is an abundant number, because the sum of its proper divisors (64548852000) is greater than itself. Its abundance is 43068835200
Bases of 21480016800
- Binary: 101000000000100111100001011101000002
- Hexadecimal: 0x5004F0BA0
- Base-36: 9V8NB1C
Squares and roots of 21480016800
- 21480016800 squared (214800168002) is 461391121728282240000
- 21480016800 cubed (214800168003) is 9910689046094347550341632000000
-
The
square root of 21480016800 is 146560.6249986673 -
The
cube root of 21480016800 is 2779.7871237719
Scales and comparisons
How big is 21480016800?- 21,480,016,800 seconds is equal to 682 years, 51 weeks, 6 days, 7 hours, 20 minutes.
-
To count from 1 to 21,480,016,800 would take you about one thousand, three hundred sixty-five 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 21480016800 cubic inches would be around 231.6 feet tall.
Recreational maths with 21480016800
- 21480016800 backwards is 00861008412
- 21480016800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 21480016800's digits is 30
- More coming soon!
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The information we have on file for 21480016800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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