146397798144
146,397,798,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 146397798144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
146397798144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 146397798144:
28 × 34 × 13 × 29 × 61 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 29 × 61 × 307)See below for interesting mathematical facts about the number 146397798144 from the Numbermatics database.
Names of 146397798144
- Cardinal: 146397798144 can be written as One hundred forty-six billion, three hundred ninety-seven million, seven hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.46397798144 × 1011
Factors of 146397798144
Divisors of 146397798144
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 61 64 72 78 81 87 96 104 108 116 117 122 128 144 156 162 174 183 192 208 216 232 234 244 256 261 288 307 312 324 348 351 366 377 384 416 432 464 468 488 522 549 576 614 624 648 696 702 732 754 768 783 793 832 864 921 928 936 976 1044 1053 1098 1131 1152 1228 1248 1296 1392 1404 1464 1508 1566 1586 1647 1664 1728 1769 1842 1856 1872 1952 2088 2106 2196 2262 2304 2349 2379 2456 2496 2592 2763 2784 2808 2928 3016 3132 3172 3294 3328 3393 3456 3538 3684 3712 3744 3904 3991 4176 4212 4392 4524 4698 4758 4912 4941 4992 5184 5307 5526 5568 5616 5856 6032 6264 6344 6588 6786 6912 7076 7137 7368 7424 7488 7808 7982 8289 8352 8424 8784 8903 9048 9396 9516 9824 9882 9984 10179 10368 10614 11052 11136 11232 11712 11973 12064 12528 12688 13176 13572 14152 14274 14736 14976 15616 15921 15964 16578 16704 16848 17568 17806 18096 18727 18792 19032 19648 19764 20358 20736 21228 21411 22104 22272 22464 22997 23424 23946 24128 24867 25056 25376 26352 26709 27144 28304 28548 29472 29952 30537 31842 31928 33156 33408 33696 35136 35612 35919 36192 37454 37584 38064 39296 39528 40716 42456 42822 44208 44928 45994 46848 47763 47892 48256 49734 50112 50752 52704 53418 54288 56181 56608 57096 58944 61074 63684 63856 64233 66312 66816 67392 68991 70272 71224 71838 72384 74908 75168 76128 78592 79056 80127 81432 84912 85644 88416 89856 91988 95526 95784 96512 99468 100224 101504 105408 106836 107757 108576 112362 113216 114192 115739 117888 122148 127368 127712 128466 132624 134784 137982 140544 142448 143289 143676 144768 149816 150336 152256 158112 160254 162864 168543 169824 171288 176832 183976 191052 191568 198936 200448 203008 206973 210816 213672 215514 217152 224724 226432 228384 231478 235776 240381 243451 244296 254736 255424 256932 265248 269568 275964 284896 286578 287352 289536 299632 300672 304512 316224 320508 323271 325728 337086 339648 342576 347217 353664 367952 382104 383136 397872 413946 421632 427344 431028 434304 449448 452864 456768 462956 480762 486902 488592 505629 509472 510848 513864 530496 543083 551928 569792 573156 574704 599264 601344 609024 620919 632448 641016 646542 651456 674172 679296 685152 694434 707328 721143 730353 735904 764208 766272 795744 827892 854688 862056 868608 898896 913536 925912 961524 973804 977184 1011258 1018944 1021696 1027728 1041651 1060992 1086166 1103856 1139584 1146312 1149408 1198528 1241838 1264896 1282032 1293084 1302912 1348344 1358592 1370304 1388868 1442286 1460706 1471808 1516887 1528416 1532544 1591488 1629249 1655784 1709376 1724112 1797792 1827072 1851824 1862757 1923048 1947608 1954368 2022516 2037888 2055456 2083302 2121984 2172332 2191059 2207712 2279168 2292624 2298816 2397056 2483676 2564064 2586168 2605824 2696688 2740608 2777736 2884572 2921412 2943616 3033774 3056832 3065088 3124953 3182976 3258498 3311568 3418752 3448224 3595584 3703648 3725514 3846096 3895216 3908736 4045032 4075776 4110912 4166604 4344664 4382118 4415424 4585248 4597632 4794112 4887747 4967352 5128128 5172336 5393376 5481216 5555472 5769144 5842824 5887232 6067548 6113664 6249906 6365952 6516996 6573177 6623136 6837504 6896448 7060079 7191168 7407296 7451028 7692192 7790432 7817472 8090064 8221824 8333208 8689328 8764236 8830848 9170496 9195264 9374859 9775494 9934704 10256256 10344672 10786752 11110944 11538288 11685648 12135096 12227328 12499812 13033992 13146354 13246272 13792896 14120158 14382336 14663241 14814592 14902056 15384384 15580864 16180128 16443648 16666416 17378656 17528472 17661696 18340992 18749718 19550988 19719531 19869408 20512512 20689344 21180237 21573504 22221888 23076576 23371296 24270192 24999624 26067984 26292708 26492544 27585792 28240316 29326482 29629184 29804112 30768768 31161728 32360256 33332832 34757312 35056944 36681984 37499436 39101976 39439062 39738816 41378688 42360474 43147008 43989723 44443776 46153152 46742592 48540384 49999248 52135968 52585416 52985088 56480632 58652964 59608224 61537536 62323456 63540711 64720512 66665664 69514624 70113888 74998872 78203952 78878124 79477632 82757376 84720948 87979446 88887552 92306304 93485184 97080768 99998496 104271936 105170832 112961264 117305928 119216448 127081422 129441024 133331328 139029248 140227776 149997744 156407904 157756248 158955264 169441896 175958892 184612608 186970368 190622133 194161536 199996992 208543872 210341664 225922528 234611856 238432896 254162844 266662656 280455552 299995488 312815808 315512496 338883792 351917784 381244266 388323072 399993984 417087744 420683328 451845056 469223712 476865792 508325688 560911104 571866399 599990976 625631616 631024992 677767584 703835568 762488532 799987968 841366656 903690112 938447424 1016651376 1143732798 1199981952 1251263232 1262049984 1355535168 1407671136 1524977064 1682733312 1807380224 1876894848 2033302752 2287465596 2399963904 2524099968 2711070336 2815342272 3049954128 3753789696 4066605504 4574931192 5048199936 5422140672 5630684544 6099908256 8133211008 9149862384 11261369088 12199816512 16266422016 18299724768 24399633024 36599449536 48799266048 73198899072 146397798144
- Sum of all divisors σ(n): 495904405920
- Sum of proper divisors (its aliquot sum) s(n): 349506607776
- 146397798144 is an abundant number, because the sum of its proper divisors (349506607776) is greater than itself. Its abundance is 203108809632
Bases of 146397798144
- Binary: 100010000101011111110100011111000000002
- Hexadecimal: 0x2215FD1F00
- Base-36: 1V95GW00
Squares and roots of 146397798144
- 146397798144 squared (1463977981442) is 21432315301411369844736
- 146397798144 cubed (1463977981443) is 3137643769254584240836189548969984
-
The
square root of 146397798144 is 382619.6520619399 -
The
cube root of 146397798144 is 5270.4154219343
Scales and comparisons
How big is 146397798144?- 146,397,798,144 seconds is equal to 4,654 years, 51 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 146,397,798,144 would take you about nine thousand, three hundred 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 146397798144 cubic inches would be around 439.2 feet tall.
Recreational maths with 146397798144
- 146397798144 backwards is 441897793641
- The number of decimal digits it has is: 12
- The sum of 146397798144's digits is 63
- More coming soon!
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The information we have on file for 146397798144 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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