146389800960
146,389,800,960 is an even composite number composed of five prime numbers multiplied together.
146389800960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146389800960:
211 × 33 × 5 × 133 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 241)See below for interesting mathematical facts about the number 146389800960 from the Numbermatics database.
Names of 146389800960
- Cardinal: 146389800960 can be written as One hundred forty-six billion, three hundred eighty-nine million, eight hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4638980096 × 1011
Factors of 146389800960
Divisors of 146389800960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 169 180 192 195 208 216 234 240 241 256 260 270 288 312 320 338 351 360 384 390 416 432 468 480 482 507 512 520 540 576 585 624 640 676 702 720 723 768 780 832 845 864 936 960 964 1014 1024 1040 1080 1152 1170 1205 1248 1280 1352 1404 1440 1446 1521 1536 1560 1664 1690 1728 1755 1872 1920 1928 2028 2048 2080 2160 2169 2197 2304 2340 2410 2496 2535 2560 2704 2808 2880 2892 3042 3072 3120 3133 3328 3380 3456 3510 3615 3744 3840 3856 4056 4160 4320 4338 4394 4563 4608 4680 4820 4992 5070 5120 5408 5616 5760 5784 6084 6144 6240 6266 6507 6591 6656 6760 6912 7020 7230 7488 7605 7680 7712 8112 8320 8640 8676 8788 9126 9216 9360 9399 9640 9984 10140 10240 10816 10845 10985 11232 11520 11568 12168 12480 12532 13014 13182 13312 13520 13824 14040 14460 14976 15210 15360 15424 15665 16224 16640 17280 17352 17576 18252 18432 18720 18798 19280 19773 19968 20280 21632 21690 21970 22464 22815 23040 23136 24336 24960 25064 26028 26364 26624 27040 27648 28080 28197 28920 29952 30420 30720 30848 31330 32448 32535 32955 33280 34560 34704 35152 36504 37440 37596 38560 39546 39936 40560 40729 43264 43380 43940 44928 45630 46080 46272 46995 48672 49920 50128 52056 52728 54080 55296 56160 56394 57840 59319 59904 60840 61696 62660 64896 65070 65910 66560 69120 69408 70304 73008 74880 75192 77120 79092 79872 81120 81458 84591 86528 86760 87880 89856 91260 92160 92544 93990 97344 98865 99840 100256 104112 105456 108160 112320 112788 115680 118638 119808 121680 122187 123392 125320 129792 130140 131820 133120 138240 138816 140608 140985 146016 149760 150384 154240 158184 162240 162916 169182 173056 173520 175760 179712 182520 185088 187980 194688 197730 199680 200512 203645 208224 210912 216320 224640 225576 231360 237276 239616 243360 244374 246784 250640 259584 260280 263640 276480 277632 281216 281970 292032 296595 299520 300768 308480 316368 324480 325832 338364 346112 347040 351520 359424 365040 366561 370176 375960 389376 395460 399360 401024 407290 416448 421824 422955 432640 449280 451152 462720 474552 486720 488748 493568 501280 519168 520560 527280 529477 555264 562432 563940 584064 593190 599040 601536 610935 616960 632736 648960 651664 676728 694080 703040 718848 730080 733122 740352 751920 778752 790920 802048 814580 832896 843648 845910 865280 898560 902304 925440 949104 973440 977496 1002560 1038336 1041120 1054560 1058954 1099683 1110528 1124864 1127880 1168128 1186380 1198080 1203072 1221870 1233920 1265472 1297920 1303328 1353456 1388160 1406080 1460160 1466244 1480704 1503840 1557504 1581840 1588431 1604096 1629160 1665792 1687296 1691820 1730560 1797120 1804608 1832805 1850880 1898208 1946880 1954992 2005120 2082240 2109120 2117908 2199366 2221056 2249728 2255760 2336256 2372760 2406144 2443740 2467840 2530944 2595840 2606656 2647385 2706912 2776320 2812160 2920320 2932488 3007680 3115008 3163680 3176862 3208192 3258320 3331584 3374592 3383640 3594240 3609216 3665610 3701760 3796416 3893760 3909984 4010240 4164480 4218240 4235816 4398732 4442112 4499456 4511520 4672512 4745520 4765293 4812288 4887480 5061888 5191680 5213312 5294770 5413824 5498415 5552640 5624320 5840640 5864976 6015360 6327360 6353724 6416384 6516640 6663168 6749184 6767280 7218432 7331220 7403520 7592832 7787520 7819968 7942155 8020480 8328960 8436480 8471632 8797464 9023040 9345024 9491040 9530586 9624576 9774960 10123776 10426624 10589540 10827648 10996830 11105280 11248640 11681280 11729952 12030720 12654720 12707448 13033280 13326336 13498368 13534560 14295879 14436864 14662440 15185664 15575040 15639936 15884310 16040960 16657920 16872960 16943264 17594928 18046080 18982080 19061172 19249152 19549920 20247552 20853248 21179080 21655296 21993660 22210560 22497280 23362560 23459904 23826465 24061440 25309440 25414896 26066560 27069120 28591758 28873728 29324880 30371328 31279872 31768620 32081920 33315840 33745920 33886528 35189856 36092160 37964160 38122344 39099840 40495104 41706496 42358160 43310592 43987320 46725120 46919808 47652930 48122880 50618880 50829792 52133120 54138240 57183516 57747456 58649760 60742656 62559744 63537240 66631680 67491840 67773056 70379712 71479395 72184320 75928320 76244688 78199680 83412992 84716320 86621184 87974640 93839616 95305860 96245760 101237760 101659584 104266240 108276480 114367032 117299520 121485312 125119488 127074480 135546112 140759424 142958790 144368640 151856640 152489376 156399360 169432640 173242368 175949280 187679232 190611720 202475520 203319168 208532480 216552960 228734064 234599040 250238976 254148960 271092224 281518848 285917580 288737280 303713280 304978752 312798720 338865280 351898560 375358464 381223440 406638336 417064960 433105920 457468128 469198080 508297920 542184448 563037696 571835160 607426560 609957504 625597440 677730560 703797120 750716928 762446880 813276672 866211840 914936256 938396160 1016595840 1084368896 1126075392 1143670320 1219915008 1251194880 1355461120 1407594240 1524893760 1626553344 1829872512 1876792320 2033191680 2252150784 2287340640 2439830016 2710922240 2815188480 3049787520 3253106688 3659745024 3753584640 4066383360 4574681280 4879660032 5421844480 5630376960 6099575040 7319490048 8132766720 9149362560 9759320064 11260753920 12199150080 14638980096 16265533440 18298725120 24398300160 29277960192 36597450240 48796600320 73194900480 146389800960
- Sum of all divisors σ(n): 566053488000
- Sum of proper divisors (its aliquot sum) s(n): 419663687040
- 146389800960 is an abundant number, because the sum of its proper divisors (419663687040) is greater than itself. Its abundance is 273273886080
Bases of 146389800960
- Binary: 100010000101011000001100011000000000002
- Hexadecimal: 0x2215831800
- Base-36: 1V90PHC0
Squares and roots of 146389800960
- 146389800960 squared (1463898009602) is 21429973825108416921600
- 146389800960 cubed (1463898009603) is 3137129602835631003573719924736000
-
The
square root of 146389800960 is 382609.2013530255 -
The
cube root of 146389800960 is 5270.3194522545
Scales and comparisons
How big is 146389800960?- 146,389,800,960 seconds is equal to 4,654 years, 38 weeks, 4 days, 9 hours, 36 minutes.
-
To count from 1 to 146,389,800,960 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 146389800960 cubic inches would be around 439.2 feet tall.
Recreational maths with 146389800960
- 146389800960 backwards is 069008983641
- 146389800960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146389800960's digits is 54
- More coming soon!
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