148373586816
148,373,586,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 148373586816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
148373586816 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 148373586816:
27 × 3 × 72 × 13 × 17 × 31 × 1151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 17 × 31 × 1151)See below for interesting mathematical facts about the number 148373586816 from the Numbermatics database.
Names of 148373586816
- Cardinal: 148373586816 can be written as One hundred forty-eight billion, three hundred seventy-three million, five hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.48373586816 × 1011
Factors of 148373586816
Divisors of 148373586816
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 31 32 34 39 42 48 49 51 52 56 62 64 68 78 84 91 93 96 98 102 104 112 119 124 128 136 147 156 168 182 186 192 196 204 208 217 221 224 238 248 272 273 294 312 336 357 364 372 384 392 403 408 416 434 442 448 476 496 527 544 546 588 624 637 651 663 672 714 728 744 784 806 816 832 833 868 884 896 952 992 1054 1088 1092 1151 1176 1209 1248 1274 1302 1326 1344 1428 1456 1488 1519 1547 1568 1581 1612 1632 1664 1666 1736 1768 1904 1911 1984 2108 2176 2184 2302 2352 2418 2496 2499 2548 2604 2652 2688 2821 2856 2912 2976 3038 3094 3136 3162 3224 3264 3332 3453 3472 3536 3689 3808 3822 3968 4216 4368 4557 4604 4641 4704 4836 4992 4998 5096 5208 5304 5642 5712 5824 5952 6076 6188 6272 6324 6448 6528 6664 6851 6906 6944 7072 7378 7616 7644 8057 8432 8463 8736 9114 9208 9282 9408 9672 9996 10192 10416 10608 10829 11067 11284 11424 11648 11904 12152 12376 12648 12896 13328 13702 13812 13888 14144 14756 14963 15232 15288 16114 16864 16926 17472 18228 18416 18564 18816 19344 19567 19747 19992 20384 20553 20832 21216 21658 22134 22568 22848 24171 24304 24752 25296 25792 25823 26656 27404 27624 27776 28288 29512 29926 30576 32228 32487 33728 33852 34944 35681 36456 36832 37128 38688 39134 39494 39984 40768 41106 41664 42432 43316 44268 44889 45136 45696 47957 48342 48608 49504 50592 51584 51646 53312 54808 55248 56399 58701 59024 59241 59852 61152 64456 64974 67456 67704 71362 72912 73664 74256 77376 77469 78268 78988 79968 81536 82212 83328 84864 86632 88536 89778 90272 95914 96684 97216 99008 101184 103292 104741 106624 107043 109616 110496 112798 117402 118048 118482 119704 122304 128912 129948 135408 136969 142724 143871 145824 147328 148512 154752 154938 156536 157976 159936 164424 169197 173264 177072 179556 180544 191828 193368 194432 198016 202368 206584 209482 214086 219232 220992 225596 234804 236096 236964 239408 244608 249767 254371 257824 259896 270816 273938 285448 287742 291648 297024 309876 313072 314223 315952 319872 328848 335699 338394 346528 354144 359112 361088 383656 386736 410907 413168 418964 428172 438464 441984 451192 463853 469608 472192 473928 478816 499534 508742 515648 519792 541632 547876 570896 575484 583296 594048 606577 619752 626144 628446 631904 657696 671398 676788 693056 708288 718224 733187 749301 763113 767312 773472 821814 826336 837928 856344 876928 902384 927706 939216 947856 957632 958783 999068 1007097 1017484 1031296 1039584 1083264 1095752 1141792 1150968 1213154 1239504 1252288 1256892 1263808 1315392 1342796 1353576 1386112 1391559 1416576 1436448 1466374 1498602 1526226 1534624 1546944 1643628 1652672 1675856 1712688 1748369 1780597 1804768 1819731 1855412 1878432 1895712 1915264 1917566 1998136 2014194 2034968 2079168 2191504 2199561 2283584 2301936 2426308 2479008 2504576 2513784 2527616 2630784 2685592 2707152 2783118 2872896 2876349 2932748 2997204 3052452 3069248 3093888 3246971 3287256 3305344 3351712 3425376 3496738 3561194 3609536 3639462 3710824 3756864 3791424 3835132 3996272 4028388 4069936 4158336 4246039 4383008 4399122 4567168 4603872 4852616 4958016 5027568 5245107 5341791 5371184 5414304 5566236 5745792 5752698 5865496 5994408 6104904 6138496 6493942 6574512 6703424 6850752 6993476 7122388 7219072 7278924 7421648 7513728 7582848 7670264 7885501 7992544 8056776 8139872 8492078 8766016 8798244 9207744 9705232 9740913 9916032 10055136 10490214 10683582 10742368 10828608 11132472 11505396 11730992 11988816 12209808 12464179 12738117 12987884 13149024 13406848 13701504 13986952 14244776 14557848 14843296 15340528 15771002 15985088 16113552 16279744 16984156 17532032 17596488 18415488 19410464 19481826 20110272 20980428 21367164 21484736 21657216 22264944 22728797 23010792 23461984 23656503 23977632 24419616 24928358 25476234 25975768 26298048 27973904 28489552 29115696 29686592 29722273 30681056 31542004 31970176 32227104 32559488 33968312 35192976 37392537 38820928 38963652 40220544 41960856 42734328 42969472 44529888 45457594 46021584 46923968 47313006 47955264 48839232 49856716 50952468 51951536 52596096 55198507 55947808 56979104 58231392 59373184 59444546 61362112 63084008 64454208 67936624 68186391 70385952 74785074 77641856 77927304 83921712 85468656 89059776 89166819 90915188 92043168 93847936 94626012 95910528 97678464 99713432 101904936 103903072 110397014 111895616 113958208 116462784 118889092 122724224 126168016 128908416 135873248 136372782 140771904 149570148 155854608 165595521 167843424 170937312 178119552 178333638 181830376 184086336 189252024 199426864 203809872 207806144 220794028 223791232 227916416 232925568 237778184 252336032 271746496 272745564 281543808 299140296 311709216 331191042 335686848 341874624 356667276 363660752 368172672 378504048 386389549 398853728 407619744 415612288 441588056 475556368 504672064 543492992 545491128 598280592 623418432 662382084 671373696 683749248 713334552 727321504 757008096 772779098 797707456 815239488 883176112 951112736 1009344128 1090982256 1159168647 1196561184 1246836864 1324764168 1426669104 1454643008 1514016192 1545558196 1595414912 1630478976 1766352224 1902225472 2181964512 2318337294 2393122368 2649528336 2853338208 2909286016 3028032384 3091116392 3532704448 3804450944 4363929024 4636674588 4786244736 5299056672 5706676416 6182232784 7065408896 8727858048 9273349176 10598113344 11413352832 12364465568 18546698352 21196226688 24728931136 37093396704 49457862272 74186793408 148373586816
- Sum of all divisors σ(n): 540104785920
- Sum of proper divisors (its aliquot sum) s(n): 391731199104
- 148373586816 is an abundant number, because the sum of its proper divisors (391731199104) is greater than itself. Its abundance is 243357612288
Bases of 148373586816
- Binary: 100010100010111100000101000011100000002
- Hexadecimal: 0x228BC14380
- Base-36: 1W5TSWAO
Squares and roots of 148373586816
- 148373586816 squared (1483735868162) is 22014721264645089017856
- 148373586816 cubed (1483735868163) is 3266403156789859426818905390186496
-
The
square root of 148373586816 is 385192.9215549011 -
The
cube root of 148373586816 is 5294.0194414777
Scales and comparisons
How big is 148373586816?- 148,373,586,816 seconds is equal to 4,717 years, 42 weeks, 4 days, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 148,373,586,816 would take you about nine thousand, four hundred thirty-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 148373586816 cubic inches would be around 441.2 feet tall.
Recreational maths with 148373586816
- 148373586816 backwards is 618685373841
- The number of decimal digits it has is: 12
- The sum of 148373586816's digits is 60
- More coming soon!
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The information we have on file for 148373586816 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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