148008264768
148,008,264,768 is an even composite number composed of six prime numbers multiplied together.
148008264768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 148008264768:
26 × 34 × 73 × 13 × 19 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 337)See below for interesting mathematical facts about the number 148008264768 from the Numbermatics database.
Names of 148008264768
- Cardinal: 148008264768 can be written as One hundred forty-eight billion, eight million, two hundred sixty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.48008264768 × 1011
Factors of 148008264768
Divisors of 148008264768
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 64 72 76 78 81 84 91 96 98 104 108 112 114 117 126 133 144 147 152 156 162 168 171 182 189 192 196 208 216 224 228 234 247 252 266 273 288 294 304 312 324 336 337 342 343 351 364 378 392 399 416 432 441 448 456 468 494 504 513 532 546 567 576 588 608 624 637 648 672 674 684 686 702 728 741 756 784 798 819 832 864 882 912 931 936 988 1008 1011 1026 1029 1053 1064 1092 1134 1176 1197 1216 1248 1274 1296 1323 1344 1348 1368 1372 1404 1456 1482 1512 1539 1568 1596 1638 1728 1729 1764 1824 1862 1872 1911 1976 2016 2022 2052 2058 2106 2128 2184 2223 2268 2352 2359 2394 2457 2496 2548 2592 2646 2696 2736 2744 2793 2808 2912 2964 3024 3033 3078 3087 3136 3192 3276 3458 3528 3591 3648 3724 3744 3822 3952 3969 4032 4044 4104 4116 4212 4256 4368 4381 4446 4459 4536 4704 4718 4788 4914 5096 5184 5187 5292 5392 5472 5488 5586 5616 5733 5824 5928 6048 6066 6156 6174 6384 6403 6517 6552 6669 6916 7056 7077 7182 7371 7448 7488 7644 7904 7938 8088 8208 8232 8379 8424 8512 8736 8762 8892 8918 9072 9099 9261 9408 9436 9576 9828 10192 10374 10584 10773 10784 10944 10976 11172 11232 11466 11856 12096 12103 12132 12312 12348 12768 12806 13034 13104 13143 13338 13377 13832 14112 14154 14364 14742 14896 15288 15561 15808 15876 16176 16416 16464 16513 16758 16848 17199 17472 17524 17784 17836 18144 18198 18522 18872 19152 19209 19551 19656 20007 20384 20748 21168 21231 21546 21568 21952 22344 22464 22932 23712 24206 24264 24624 24696 25137 25536 25612 26068 26208 26286 26676 26754 27297 27664 27783 28224 28308 28728 29484 29792 30576 30667 31122 31752 32352 32832 32928 33026 33516 33696 34398 35048 35568 35672 36288 36309 36396 37044 37744 38304 38418 39102 39312 39429 40014 40131 40768 41496 42336 42462 43092 44688 44821 45864 46683 47424 48412 48528 49248 49392 49539 50274 51224 51597 52136 52416 52572 53352 53508 54594 55328 55566 56616 57456 57627 58653 58968 59584 61152 61334 62244 63504 63693 64704 65856 66052 67032 67392 68796 70096 71136 71344 72618 72792 74088 75411 75488 76608 76836 78204 78624 78858 80028 80262 82992 83239 84672 84721 84924 86184 89376 89642 91728 92001 93366 96824 97056 98496 98784 99078 100548 102448 103194 104272 105144 106704 107016 108927 109188 110656 111132 113232 114912 115254 115591 117306 117936 118287 120393 122304 122668 124488 127008 127386 132104 134064 134463 137592 140049 140192 142272 142688 145236 145584 148176 148617 150822 150976 153672 156408 157248 157716 160056 160524 165984 166478 169442 169848 172368 172881 175959 178752 179284 183456 184002 186732 191079 193648 194112 197568 198156 201096 204896 206388 208544 210288 213408 214032 214669 217854 218376 222264 226464 229824 230508 231182 234612 235872 236574 240786 245336 248976 249717 254016 254163 254772 264208 268128 268926 275184 276003 280098 280384 285376 290472 291168 296352 297234 301644 307344 312816 313747 315432 320112 321048 326781 331968 332956 338884 339696 344736 345762 346773 351918 354861 358568 361179 366912 368004 373464 382158 387296 396312 402192 403389 409792 412776 417088 420576 426816 428064 429338 435708 436752 444528 445851 452928 461016 462364 469224 471744 473148 481572 490672 497952 499434 508326 509544 518643 527877 528416 536256 537852 550368 552006 560196 580944 582336 582673 592704 594468 603288 614688 625632 627494 630864 640224 642096 644007 653562 665912 677768 679392 689472 691524 693546 703836 709722 717136 722358 736008 746928 749151 762489 764316 774592 792624 804384 806778 825552 828009 841152 856128 858676 871416 873504 889056 891702 922032 924728 938448 941241 946296 963144 980343 981344 995904 998868 1016652 1019088 1037286 1040319 1055754 1056832 1075704 1100736 1104012 1120392 1161888 1165346 1188936 1206576 1210167 1229376 1251264 1254988 1261728 1280448 1284192 1288014 1307124 1331824 1337553 1355536 1358784 1383048 1387092 1407672 1419444 1434272 1444716 1472016 1493856 1498302 1502683 1524978 1528632 1585248 1608768 1613556 1651104 1656018 1717352 1742832 1747008 1748019 1778112 1783404 1844064 1849456 1876896 1882482 1892592 1926288 1932021 1960686 1962688 1997736 2033304 2038176 2074572 2080638 2111508 2151408 2196229 2208024 2240784 2247453 2287467 2323776 2330692 2377872 2413152 2420334 2484027 2509976 2523456 2568384 2576028 2614248 2663648 2675106 2711072 2766096 2774184 2815344 2823723 2838888 2868544 2889432 2944032 2987712 2996604 3005366 3049956 3057264 3120957 3170496 3227112 3302208 3312036 3434704 3485664 3496038 3566808 3630501 3688128 3698912 3753792 3764964 3785184 3852576 3864042 3921372 3995472 4066608 4076352 4078711 4149144 4161276 4223016 4302816 4392458 4416048 4481568 4494906 4508049 4574934 4661384 4755744 4826304 4840668 4968054 5019952 5152056 5228496 5244057 5327296 5350212 5422144 5532192 5548368 5630688 5647446 5677776 5778864 5796063 5888064 5993208 6010732 6099912 6114528 6241914 6454224 6588687 6624072 6742359 6862401 6869408 6971328 6992076 7133616 7261002 7397824 7529928 7570368 7705152 7728084 7842744 7990944 8133216 8157422 8298288 8322552 8446032 8471169 8605632 8784916 8832096 8963136 8989812 9016098 9149868 9322768 9362871 9511488 9681336 9936108 10039904 10304112 10456992 10488114 10700424 11064384 11096736 11261376 11294892 11355552 11557728 11592126 11986416 12021464 12199824 12229056 12236133 12483828 12908448 13177374 13248144 13484718 13524147 13724802 13738816 13984152 14267232 14522004 15059856 15456168 15685488 15732171 15981888 16266432 16314844 16596576 16645104 16892064 16942338 17388189 17569832 17664192 17979624 18032196 18299736 18645536 18725742 19362672 19766061 19872216 20079808 20608224 20913984 20976228 21400848 22193472 22589784 22711104 23115456 23184252 23972832 24042928 24399648 24472266 24967656 25413507 25816896 26354748 26496288 26969436 27048294 27449604 27968304 28534464 28550977 29044008 30119712 30912336 31370976 31464342 32629688 33193152 33290208 33784128 33884676 34776378 35139664 35959248 36064392 36599472 36708399 37291072 37451484 38725344 39532122 39744432 40572441 41216448 41952456 42801696 45179568 46368504 47196513 47945664 48085856 48799296 48944532 49935312 50827014 52709496 52992576 53938872 54096588 54899208 55936608 57101954 58088016 59298183 60239424 61824672 62741952 62928684 65259376 66580416 67769352 69552756 70279328 71918496 72128784 73198944 73416798 74902968 77450688 79064244 79488864 81144882 83904912 85603392 85652931 90359136 92737008 94393026 96171712 97889064 99870624 101654028 105418992 107877744 108193176 109798416 110125197 111873216 114203908 116176032 118596366 121717323 123649344 125857368 130518752 135538704 139105512 140558656 143836992 144257568 146397888 146833596 149805936 158128488 158977728 162289764 167809824 171305862 177894549 180718272 185474016 188786052 195778128 199741248 203308056 210837984 215755488 216386352 219596832 220250394 228407816 232352064 237192732 243434646 251714736 256958793 261037504 271077408 278211024 288515136 293667192 299611872 316256976 324579528 330375591 335619648 342611724 355789098 370948032 377572104 391556256 406616112 421675968 431510976 432772704 439193664 440500788 456815632 474385464 486869292 503429472 513917586 542154816 556422048 587334384 599223744 632513952 649159056 660751182 685223448 711578196 755144208 770876379 783112512 813232224 865545408 881001576 913631264 948770928 973738584 1006858944 1027835172 1112844096 1174668768 1265027904 1298318112 1321502364 1370446896 1423156392 1510288416 1541752758 1626464448 1762003152 1827262528 1897541856 1947477168 2055670344 2312629137 2349337536 2596636224 2643004728 2740893792 2846312784 3020576832 3083505516 3524006304 3795083712 3894954336 4111340688 4625258274 5286009456 5481787584 5692625568 6167011032 7048012608 7789908672 8222681376 9250516548 10572018912 11385251136 12334022064 16445362752 18501033096 21144037824 24668044128 37002066192 49336088256 74004132384 148008264768
- Sum of all divisors σ(n): 581733152000
- Sum of proper divisors (its aliquot sum) s(n): 433724887232
- 148008264768 is an abundant number, because the sum of its proper divisors (433724887232) is greater than itself. Its abundance is 285716622464
Bases of 148008264768
- Binary: 100010011101011111101011100100010000002
- Hexadecimal: 0x2275FAE440
- Base-36: 1VZSAS00
Squares and roots of 148008264768
- 148008264768 squared (1480082647682) is 21906446439634390093824
- 148008264768 cubed (1480082647683) is 3242335124763417738124898953592832
-
The
square root of 148008264768 is 384718.4227041905 -
The
cube root of 148008264768 is 5289.6709327743
Scales and comparisons
How big is 148008264768?- 148,008,264,768 seconds is equal to 4,706 years, 10 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 148,008,264,768 would take you about nine thousand, four hundred twelve 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 148008264768 cubic inches would be around 440.8 feet tall.
Recreational maths with 148008264768
- 148008264768 backwards is 867462800841
- 148008264768 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 148008264768's digits is 54
- More coming soon!
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The information we have on file for 148008264768 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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