106946904960
106,946,904,960 is an even composite number composed of six prime numbers multiplied together.
106946904960 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 106946904960:
27 × 35 × 5 × 7 × 31 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 31 × 3169)See below for interesting mathematical facts about the number 106946904960 from the Numbermatics database.
Names of 106946904960
- Cardinal: 106946904960 can be written as One hundred six billion, nine hundred forty-six million, nine hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0694690496 × 1011
Factors of 106946904960
Divisors of 106946904960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 54 56 60 62 63 64 70 72 80 81 84 90 93 96 105 108 112 120 124 126 128 135 140 144 155 160 162 168 180 186 189 192 210 216 217 224 240 243 248 252 270 279 280 288 310 315 320 324 336 360 372 378 384 405 420 432 434 448 465 480 486 496 504 540 558 560 567 576 620 630 640 648 651 672 720 744 756 810 837 840 864 868 896 930 945 960 972 992 1008 1080 1085 1116 1120 1134 1152 1215 1240 1260 1296 1302 1344 1395 1440 1488 1512 1620 1674 1680 1701 1728 1736 1860 1890 1920 1944 1953 1984 2016 2160 2170 2232 2240 2268 2430 2480 2511 2520 2592 2604 2688 2790 2835 2880 2976 3024 3169 3240 3255 3348 3360 3402 3456 3472 3720 3780 3888 3906 3968 4032 4185 4320 4340 4464 4480 4536 4860 4960 5022 5040 5184 5208 5580 5670 5760 5859 5952 6048 6338 6480 6510 6696 6720 6804 6944 7440 7533 7560 7776 7812 8064 8370 8505 8640 8680 8928 9072 9507 9720 9765 9920 10044 10080 10368 10416 11160 11340 11718 11904 12096 12555 12676 12960 13020 13392 13440 13608 13888 14880 15066 15120 15552 15624 15845 16740 17010 17280 17360 17577 17856 18144 19014 19440 19530 19840 20088 20160 20832 22183 22320 22680 23436 24192 25110 25352 25920 26040 26784 27216 27776 28521 29295 29760 30132 30240 31104 31248 31690 33480 34020 34720 35154 35712 36288 37665 38028 38880 39060 40176 40320 41664 44366 44640 45360 46872 47535 50220 50704 51840 52080 52731 53568 54432 57042 58590 59520 60264 60480 62496 63380 66549 66960 68040 69440 70308 72576 75330 76056 77760 78120 80352 83328 85563 87885 88732 89280 90720 93744 95070 98239 100440 101408 104160 105462 107136 108864 110915 114084 117180 120528 120960 124992 126760 133098 133920 136080 138880 140616 142605 150660 152112 155520 156240 160704 171126 175770 177464 178560 181440 187488 190140 196478 199647 200880 202816 208320 210924 217728 221830 228168 234360 241056 249984 253520 256689 263655 266196 267840 272160 281232 285210 294717 301320 304224 312480 321408 332745 342252 351540 354928 362880 374976 380280 392956 399294 401760 405632 416640 421848 427815 443660 456336 468720 482112 491195 507040 513378 527310 532392 535680 544320 562464 570420 589434 598941 602640 608448 624960 665490 684504 687673 703080 709856 749952 760560 770067 785912 798588 803520 843696 855630 884151 887320 912672 937440 964224 982390 998235 1014080 1026756 1054620 1064784 1088640 1124928 1140840 1178868 1197882 1205280 1216896 1249920 1283445 1330980 1369008 1375346 1406160 1419712 1473585 1521120 1540134 1571824 1597176 1607040 1687392 1711260 1768302 1774640 1796823 1825344 1874880 1964780 1996470 2028160 2053512 2063019 2109240 2129568 2249856 2281680 2357736 2395764 2410560 2566890 2652453 2661960 2738016 2750692 2812320 2839424 2947170 2994705 3042240 3080268 3143648 3194352 3374784 3422520 3438365 3536604 3549280 3593646 3650688 3749760 3850335 3929560 3992940 4107024 4126038 4218480 4259136 4420755 4563360 4715472 4791528 4821120 5133780 5304906 5323920 5390469 5476032 5501384 5624640 5894340 5989410 6084480 6160536 6189057 6287296 6388704 6749568 6845040 6876730 7073208 7098560 7187292 7700670 7859120 7957359 7985880 8214048 8252076 8436960 8518272 8841510 8984115 9126720 9430944 9583056 10267560 10315095 10609812 10647840 10780938 10952064 11002768 11249280 11788680 11978820 12321072 12378114 12574592 12777408 13262265 13690080 13753460 14146416 14197120 14374584 15401340 15718240 15914718 15971760 16428096 16504152 16873920 17683020 17968230 18253440 18567171 18861888 19166112 20535120 20630190 21219624 21295680 21561876 22005536 23577360 23872077 23957640 24642144 24756228 25554816 26524530 26952345 27380160 27506920 28292832 28749168 30802680 30945285 31436480 31829436 31943520 32856192 33008304 33747840 35366040 35936460 37134342 37723776 38332224 39786795 41070240 41260380 42439248 42591360 43123752 44011072 47154720 47744154 47915280 49284288 49512456 53049060 53904690 54760320 55013840 55701513 56585664 57498336 61605360 61890570 62872960 63658872 63887040 66016608 70732080 71872920 74268684 76664448 79573590 82140480 82520760 84878496 86247504 88022144 92835855 94309440 95488308 95830560 98568576 99024912 106098120 107809380 110027680 111403026 113171328 114996672 119360385 123210720 123781140 127317744 127774080 132033216 141464160 143745840 148537368 159147180 164280960 165041520 167104539 169756992 172495008 185671710 188618880 190976616 191661120 198049824 212196240 215618760 220055360 222806052 229993344 238720770 246421440 247562280 254635488 264066432 278507565 282928320 287491680 297074736 318294360 330083040 334209078 339513984 344990016 371343420 381953232 383322240 396099648 424392480 431237520 440110720 445612104 477441540 492842880 495124560 509270976 557015130 565856640 574983360 594149472 636588720 660166080 668418156 689980032 742686840 763906464 792199296 835522695 848784960 862475040 891224208 954883080 990249120 1018541952 1114030260 1149966720 1188298944 1273177440 1320332160 1336836312 1485373680 1527812928 1671045390 1697569920 1724950080 1782448416 1909766160 1980498240 2228060520 2376597888 2546354880 2673672624 2970747360 3055625856 3342090780 3449900160 3564896832 3819532320 3960996480 4456121040 5092709760 5347345248 5941494720 6684181560 7129793664 7639064640 8912242080 10694690496 11882989440 13368363120 15278129280 17824484160 21389380992 26736726240 35648968320 53473452480 106946904960
- Sum of all divisors σ(n): 451951718400
- Sum of proper divisors (its aliquot sum) s(n): 345004813440
- 106946904960 is an abundant number, because the sum of its proper divisors (345004813440) is greater than itself. Its abundance is 238057908480
Bases of 106946904960
- Binary: 11000111001101000100001000011100000002
- Hexadecimal: 0x18E6884380
- Base-36: 1D4PFC00
Squares and roots of 106946904960
- 106946904960 squared (1069469049602) is 11437640480523272601600
- 106946904960 cubed (1069469049603) is 1223220249437171165991487143936000
-
The
square root of 106946904960 is 327027.3764686987 -
The
cube root of 106946904960 is 4746.6740145631
Scales and comparisons
How big is 106946904960?- 106,946,904,960 seconds is equal to 3,400 years, 30 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 106,946,904,960 would take you about six thousand, eight hundred one 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 106946904960 cubic inches would be around 395.6 feet tall.
Recreational maths with 106946904960
- 106946904960 backwards is 069409649601
- 106946904960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106946904960's digits is 54
- More coming soon!
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The information we have on file for 106946904960 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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