472838700672
472,838,700,672 is an even composite number composed of seven prime numbers multiplied together.
What does the number 472838700672 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
472838700672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 472838700672:
27 × 32 × 13 × 17 × 31 × 181 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 31 × 181 × 331)See below for interesting mathematical facts about the number 472838700672 from the Numbermatics database.
Names of 472838700672
- Cardinal: 472838700672 can be written as Four hundred seventy-two billion, eight hundred thirty-eight million, seven hundred thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.72838700672 × 1011
Factors of 472838700672
Divisors of 472838700672
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 31 32 34 36 39 48 51 52 62 64 68 72 78 93 96 102 104 117 124 128 136 144 153 156 181 186 192 204 208 221 234 248 272 279 288 306 312 331 362 372 384 403 408 416 442 468 496 527 543 544 558 576 612 624 662 663 724 744 806 816 832 884 936 992 993 1054 1086 1088 1116 1152 1209 1224 1248 1324 1326 1448 1488 1581 1612 1629 1632 1664 1768 1872 1984 1986 1989 2108 2172 2176 2232 2353 2418 2448 2496 2648 2652 2896 2976 2979 3077 3162 3224 3258 3264 3536 3627 3744 3968 3972 3978 4216 4303 4344 4464 4706 4743 4836 4896 4992 5296 5304 5611 5627 5792 5952 5958 6154 6324 6448 6516 6528 6851 7059 7072 7254 7488 7944 7956 8432 8606 8688 8928 9231 9412 9486 9672 9792 10261 10592 10608 11222 11254 11584 11904 11916 12308 12648 12896 12909 13032 13702 14118 14144 14508 14976 15888 15912 16833 16864 16881 17212 17376 17856 18462 18824 18972 19344 19584 20522 20553 21177 21184 21216 22444 22508 23168 23832 24616 25296 25792 25818 26064 27404 27693 28236 28288 29016 30783 31776 31824 33666 33728 33762 34424 34752 35712 36924 37648 37944 38688 38727 40001 41044 41106 42354 42368 42432 44888 45016 47664 49232 50499 50592 50643 51584 51636 52128 54808 55386 56472 58032 59911 61566 61659 63552 63648 67332 67456 67524 68848 69504 72943 73151 73848 75296 75888 77376 77454 80002 82088 82212 84708 84864 89776 90032 92349 95328 95387 98464 100998 101184 101286 103272 104256 109616 110772 112944 116064 119822 120003 123132 123318 127104 127296 133393 134664 135048 137696 145886 146302 147696 150592 151776 154752 154908 160004 164176 164424 169416 174437 179552 179733 180064 184698 190656 190774 196928 201996 202368 202572 206544 208512 218829 219232 219453 221544 225888 232128 239644 240006 246264 246636 254592 266786 269328 270096 275392 286161 291772 292604 295392 301184 303552 309816 320008 328352 328848 338832 348874 359104 359466 360009 360128 369396 381312 381548 393856 400179 403992 405144 413088 437658 438464 438906 443088 451776 464256 479288 480012 492528 493272 523311 533572 538656 539199 540192 550784 572322 583544 585208 590784 607104 619632 640016 656487 656704 657696 658359 677664 697748 718208 718932 720018 720256 738792 763096 778843 800358 807984 810288 826176 858483 875316 876928 877812 886176 903552 958576 960024 985056 986544 1018487 1046622 1067144 1077312 1078398 1080384 1144644 1167088 1170416 1181568 1200537 1239264 1240031 1280032 1312974 1313408 1315392 1316718 1355328 1395496 1437864 1440036 1477584 1526192 1557686 1569933 1600716 1615968 1620576 1652352 1716966 1750632 1755624 1772352 1857241 1917152 1920048 1970112 1973088 2036974 2093244 2134288 2154624 2156796 2160768 2267681 2289288 2334176 2336529 2340832 2401074 2478528 2480062 2560064 2625948 2630784 2633436 2710656 2790992 2875728 2880072 2955168 3052384 3055461 3115372 3139866 3201432 3231936 3241152 3433932 3501264 3511248 3544704 3714482 3720093 3834304 3840096 3940224 3946176 4073948 4186488 4268576 4313592 4535362 4578576 4668352 4673058 4681664 4802148 4957056 4960124 5120128 5251896 5266872 5571723 5581984 5751456 5760144 5910336 6104768 6110922 6230744 6279732 6402864 6463872 6482304 6803043 6867864 7002528 7009587 7022496 7428964 7440186 7668608 7680192 7892352 8147896 8372976 8537152 8627184 9070724 9157152 9166383 9336704 9346116 9363328 9604296 9920248 10503792 10533744 11143446 11160279 11163968 11502912 11520288 11820672 12209536 12221844 12461488 12559464 12805728 13240331 13606086 13735728 14005056 14019174 14044992 14857928 14880372 15360384 16295792 16715169 16745952 17074304 17254368 18141448 18314304 18332766 18692232 19208592 19840496 20409129 21007584 21067488 22286892 22320558 22327936 23005824 23040576 24144133 24443688 24922976 25118928 25611456 26480662 27212172 27471456 28010112 28038348 28089984 29715856 29760744 31573097 32591584 33430338 33491904 34508736 36282896 36628608 36665532 37384464 38417184 39680992 39720993 40818258 42015168 42134976 44573784 44641116 46081152 48288266 48887376 49845952 50237856 51222912 52961324 54424344 54942912 56076696 59431712 59521488 63146194 65183168 66860676 66983808 69017472 72432399 72565792 73331064 74768928 76834368 79361984 79441986 81636516 84030336 84269952 89147568 89282232 94719291 96576532 97774752 99691904 100475712 105922648 108848688 109885824 112153392 118863424 119042976 119162979 126292388 130366336 133721352 144864798 145131584 146662128 149537856 153668736 158723968 158883972 163273032 178295136 178564464 189438582 193153064 195549504 200951424 211845296 217297197 217697376 224306784 237726848 238085952 238325958 252584776 267442704 284157873 289729596 290263168 293324256 299075712 317767944 326546064 356590272 357128928 378877164 386306128 391099008 410450261 423690592 434594394 435394752 448613568 476171904 476651916 505169552 534885408 568315746 579459192 586648512 635535888 653092128 713180544 714257856 757754328 772612256 820900522 847381184 869188788 870789504 897227136 953303832 1010339104 1069770816 1136631492 1158918384 1173297024 1231350783 1271071776 1306184256 1428515712 1515508656 1545224512 1641801044 1694762368 1738377576 1906607664 2020678208 2139541632 2273262984 2317836768 2462701566 2542143552 2612368512 3031017312 3090449024 3283602088 3476755152 3694052349 3813215328 4041356416 4546525968 4635673536 4925403132 5084287104 6062034624 6567204176 6953510304 7388104698 7626430656 9093051936 9271347072 9850806264 12124069248 13134408352 13907020608 14776209396 15252861312 18186103872 19701612528 26268816704 27814041216 29552418792 36372207744 39403225056 52537633408 59104837584 78806450112 118209675168 157612900224 236419350336 472838700672
- Sum of all divisors σ(n): 1615264035840
- Sum of proper divisors (its aliquot sum) s(n): 1142425335168
- 472838700672 is an abundant number, because the sum of its proper divisors (1142425335168) is greater than itself. Its abundance is 669586634496
Bases of 472838700672
- Binary: 1101110000101110110000111111110100000002
- Hexadecimal: 0x6E1761FE80
- Base-36: 617VYCG0
Squares and roots of 472838700672
- 472838700672 squared (4728387006722) is 223576436853185213251584
- 472838700672 cubed (4728387006723) is 105715591902535552658442214805864448
-
The
square root of 472838700672 is 687632.6785951933 -
The
cube root of 472838700672 is 7790.6017677829
Scales and comparisons
How big is 472838700672?- 472,838,700,672 seconds is equal to 15,034 years, 42 weeks, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 472,838,700,672 would take you about thirty thousand and sixty-nine 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 472838700672 cubic inches would be around 649.2 feet tall.
Recreational maths with 472838700672
- 472838700672 backwards is 276007838274
- The number of decimal digits it has is: 12
- The sum of 472838700672's digits is 54
- More coming soon!
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The information we have on file for 472838700672 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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