146945310720
146,945,310,720 is an even composite number composed of six prime numbers multiplied together.
146945310720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146945310720:
215 × 3 × 5 × 132 × 29 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 29 × 61)See below for interesting mathematical facts about the number 146945310720 from the Numbermatics database.
Names of 146945310720
- Cardinal: 146945310720 can be written as One hundred forty-six billion, nine hundred forty-five million, three hundred ten thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.4694531072 × 1011
Factors of 146945310720
Divisors of 146945310720
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 61 64 65 78 80 87 96 104 116 120 122 128 130 145 156 160 169 174 183 192 195 208 232 240 244 256 260 290 305 312 320 338 348 366 377 384 390 416 435 464 480 488 507 512 520 580 610 624 640 676 696 732 754 768 780 793 832 845 870 915 928 960 976 1014 1024 1040 1131 1160 1220 1248 1280 1352 1392 1464 1508 1536 1560 1586 1664 1690 1740 1769 1830 1856 1885 1920 1952 2028 2048 2080 2262 2320 2379 2440 2496 2535 2560 2704 2784 2928 3016 3072 3120 3172 3328 3380 3480 3538 3660 3712 3770 3840 3904 3965 4056 4096 4160 4524 4640 4758 4880 4901 4992 5070 5120 5307 5408 5568 5655 5856 6032 6144 6240 6344 6656 6760 6960 7076 7320 7424 7540 7680 7808 7930 8112 8192 8320 8845 9048 9280 9516 9760 9802 9984 10140 10240 10309 10614 10816 11136 11310 11712 11895 12064 12288 12480 12688 13312 13520 13920 14152 14640 14703 14848 15080 15360 15616 15860 16224 16384 16640 17690 18096 18560 19032 19520 19604 19968 20280 20480 20618 21228 21632 22272 22620 22997 23424 23790 24128 24505 24576 24960 25376 26535 26624 27040 27840 28304 29280 29406 29696 30160 30720 30927 31232 31720 32448 32768 33280 35380 36192 37120 38064 39040 39208 39936 40560 40960 41236 42456 43264 44544 45240 45994 46848 47580 48256 49010 49152 49920 50752 51545 53070 53248 54080 55680 56608 58560 58812 59392 60320 61440 61854 62464 63440 64896 66560 68991 70760 72384 73515 74240 76128 78080 78416 79872 81120 81920 82472 84912 86528 89088 90480 91988 93696 95160 96512 98020 98304 99840 101504 103090 106140 106496 108160 111360 113216 114985 117120 117624 118784 120640 122880 123708 124928 126880 129792 133120 137982 141520 144768 147030 148480 152256 154635 156160 156832 159744 162240 163840 164944 169824 173056 178176 180960 183976 187392 190320 193024 196040 199680 203008 206180 212280 212992 216320 222720 226432 229970 234240 235248 237568 241280 245760 247416 249856 253760 259584 266240 275964 283040 289536 294060 296960 298961 304512 309270 312320 313664 319488 324480 329888 339648 344955 346112 356352 361920 367952 374784 380640 386048 392080 399360 406016 412360 424560 425984 432640 445440 452864 459940 468480 470496 475136 482560 491520 494832 499712 507520 519168 532480 551928 566080 579072 588120 593920 597922 609024 618540 624640 627328 638976 648960 659776 679296 689910 692224 712704 723840 735904 749568 761280 772096 784160 798720 812032 824720 849120 865280 890880 896883 905728 919880 936960 940992 950272 965120 989664 999424 1015040 1038336 1064960 1103856 1132160 1158144 1176240 1187840 1195844 1218048 1237080 1249280 1254656 1277952 1297920 1319552 1358592 1379820 1384448 1425408 1447680 1471808 1494805 1499136 1522560 1544192 1568320 1597440 1624064 1649440 1698240 1730560 1781760 1793766 1811456 1839760 1873920 1881984 1930240 1979328 1998848 2030080 2076672 2129920 2207712 2264320 2316288 2352480 2375680 2391688 2436096 2474160 2498560 2509312 2595840 2639104 2717184 2759640 2768896 2850816 2895360 2943616 2989610 2998272 3045120 3088384 3136640 3194880 3248128 3298880 3396480 3461120 3563520 3587532 3622912 3679520 3747840 3763968 3860480 3958656 4060160 4153344 4415424 4484415 4528640 4632576 4704960 4751360 4783376 4872192 4948320 4997120 5018624 5191680 5278208 5434368 5519280 5537792 5790720 5887232 5979220 5996544 6090240 6176768 6273280 6389760 6496256 6597760 6792960 6922240 7127040 7175064 7245824 7359040 7495680 7527936 7720960 7917312 8120320 8306688 8830848 8968830 9057280 9265152 9409920 9566752 9744384 9896640 9994240 10037248 10383360 10556416 10868736 11038560 11581440 11774464 11958440 12180480 12353536 12546560 12992512 13195520 13585920 13844480 14254080 14350128 14491648 14718080 14991360 15055872 15441920 15834624 16240640 16613376 17661696 17937660 18114560 18530304 18819840 19133504 19488768 19793280 20074496 20766720 21112832 21737472 22077120 23162880 23548928 23916880 24360960 25093120 25985024 26391040 27171840 27688960 28700256 28983296 29436160 29982720 30111744 30883840 31669248 32481280 35323392 35875320 36229120 37060608 37639680 38267008 38977536 39586560 40148992 41533440 42225664 43474944 44154240 46325760 47097856 47833760 48721920 50186240 52782080 54343680 57400512 57966592 58872320 60223488 61767680 63338496 64962560 70646784 71750640 72458240 75279360 76534016 77955072 79173120 80297984 83066880 84451328 86949888 88308480 92651520 94195712 95667520 97443840 100372480 105564160 108687360 114801024 117744640 120446976 126676992 129925120 141293568 143501280 144916480 150558720 153068032 158346240 160595968 168902656 173899776 176616960 185303040 188391424 191335040 194887680 200744960 211128320 217374720 229602048 235489280 240893952 253353984 282587136 287002560 289832960 301117440 306136064 316692480 337805312 353233920 376782848 382670080 389775360 401489920 422256640 434749440 459204096 470978560 481787904 506707968 565174272 574005120 602234880 612272128 633384960 706467840 753565696 765340160 802979840 844513280 869498880 918408192 941957120 1013415936 1130348544 1148010240 1204469760 1224544256 1266769920 1412935680 1530680320 1689026560 1836816384 1883914240 2260697088 2296020480 2408939520 2449088512 2533539840 2825871360 3061360640 3673632768 3767828480 4592040960 4898177024 5067079680 5651742720 6122721280 7347265536 9184081920 9796354048 11303485440 12245442560 14694531072 18368163840 24490885120 29389062144 36736327680 48981770240 73472655360 146945310720
- Sum of all divisors σ(n): 535363279200
- Sum of proper divisors (its aliquot sum) s(n): 388417968480
- 146945310720 is an abundant number, because the sum of its proper divisors (388417968480) is greater than itself. Its abundance is 241472657760
Bases of 146945310720
- Binary: 100010001101101001111110000000000000002
- Hexadecimal: 0x22369F8000
- Base-36: 1VI7FZEO
Squares and roots of 146945310720
- 146945310720 squared (1469453107202) is 21592924342597346918400
- 146945310720 cubed (1469453107203) is 3172978976876418874771922485248000
-
The
square root of 146945310720 is 383334.4632563057 -
The
cube root of 146945310720 is 5276.9775171559
Scales and comparisons
How big is 146945310720?- 146,945,310,720 seconds is equal to 4,672 years, 21 weeks, 21 hours, 52 minutes.
-
To count from 1 to 146,945,310,720 would take you about nine thousand, three hundred forty-four 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 146945310720 cubic inches would be around 439.7 feet tall.
Recreational maths with 146945310720
- 146945310720 backwards is 027013549641
- The number of decimal digits it has is: 12
- The sum of 146945310720's digits is 42
- More coming soon!
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