106416431100
106,416,431,100 is an even composite number composed of five prime numbers multiplied together.
106416431100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 106416431100:
22 × 36 × 52 × 72 × 313
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 31 × 31 × 31)See below for interesting mathematical facts about the number 106416431100 from the Numbermatics database.
Names of 106416431100
- Cardinal: 106416431100 can be written as One hundred six billion, four hundred sixteen million, four hundred thirty-one thousand, one hundred.
Scientific notation
- Scientific notation: 1.064164311 × 1011
Factors of 106416431100
Divisors of 106416431100
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 31 35 36 42 45 49 50 54 60 62 63 70 75 81 84 90 93 98 100 105 108 124 126 135 140 147 150 155 162 175 180 186 189 196 210 217 225 243 245 252 270 279 294 300 310 315 324 350 372 378 405 420 434 441 450 465 486 490 525 540 558 567 588 620 630 651 675 700 729 735 756 775 810 837 868 882 900 930 945 961 972 980 1050 1085 1116 1134 1215 1225 1260 1302 1323 1350 1395 1458 1470 1519 1550 1575 1620 1674 1701 1764 1860 1890 1922 1953 2025 2100 2170 2205 2268 2325 2430 2450 2511 2604 2646 2700 2790 2835 2883 2916 2940 3038 3100 3150 3255 3348 3402 3645 3675 3780 3844 3906 3969 4050 4185 4340 4410 4557 4650 4725 4805 4860 4900 5022 5103 5292 5425 5580 5670 5766 5859 6075 6076 6300 6510 6615 6727 6804 6975 7290 7350 7533 7595 7812 7938 8100 8370 8505 8649 8820 9114 9300 9450 9610 9765 10044 10206 10850 11025 11340 11532 11718 11907 12150 12555 13020 13230 13454 13671 13950 14175 14415 14580 14700 15066 15190 15876 16275 16740 17010 17298 17577 18225 18228 18900 19220 19530 19845 20181 20412 20925 21700 22050 22599 22785 23436 23814 24025 24300 25110 25515 25947 26460 26908 27342 27900 28350 28830 29295 29791 30132 30380 32550 33075 33635 34020 34596 35154 35721 36450 37665 37975 39060 39690 40362 41013 41850 42525 43245 44100 45198 45570 47089 47628 48050 48825 50220 51030 51894 52731 54684 56700 57660 58590 59535 59582 60543 62775 65100 66150 67270 68355 70308 71442 72075 72900 75330 75950 77841 79380 80724 82026 83700 85050 86490 87885 89373 90396 91140 94178 96100 97650 99225 100905 102060 103788 105462 112995 113925 117180 119070 119164 121086 123039 125550 127575 129735 132300 134540 136710 141267 142884 144150 146475 148955 150660 151900 155682 158193 164052 168175 170100 172980 175770 178605 178746 181629 188325 188356 195300 198450 201810 205065 208537 210924 216225 225990 227850 233523 235445 238140 242172 246078 251100 255150 259470 263655 268119 273420 282534 288300 292950 297675 297910 302715 311364 316386 336350 341775 351540 357210 357492 363258 369117 376650 389205 396900 403620 410130 417074 423801 432450 439425 446865 451980 455700 467046 470890 492156 504525 510300 518940 527310 536238 544887 564975 565068 585900 595350 595820 605430 615195 625611 632772 648675 672700 683550 700569 706335 714420 726516 738234 744775 753300 778410 790965 804357 820260 834148 847602 864900 878850 893025 893730 908145 934092 941780 1009050 1025325 1042685 1054620 1072476 1089774 1107351 1129950 1167615 1177225 1190700 1210860 1230390 1251222 1271403 1297350 1318275 1340595 1367100 1401138 1412670 1459759 1476468 1489550 1513575 1556820 1581930 1608714 1634661 1695204 1757700 1786050 1787460 1816290 1845585 1876833 1946025 2018100 2050650 2085370 2119005 2179548 2214702 2234325 2259900 2335230 2354450 2413071 2460780 2502444 2542806 2594700 2636550 2681190 2724435 2802276 2825340 2919518 2979100 3027150 3075975 3128055 3163860 3217428 3269322 3502845 3531675 3572100 3632580 3691170 3753666 3814209 3892050 3954825 4021785 4101300 4170740 4238010 4379277 4429404 4468650 4540725 4670460 4708900 4826142 4903983 5085612 5213425 5273100 5362380 5448870 5536755 5630499 5838075 5839036 6054300 6151950 6256110 6357015 6538644 6702975 7005690 7063350 7239213 7298795 7382340 7507332 7628418 7784100 7909650 8043570 8173305 8476020 8758554 8937300 9081450 9227925 9384165 9652284 9807966 10426850 10595025 10897740 11073510 11260998 11442627 11676150 12065355 12303900 12512220 12714030 13137831 13405950 13622175 14011380 14126700 14478426 14597590 15256836 15640275 15819300 16087140 16346610 16891497 17514225 17517108 18162900 18455850 18768330 19071045 19615932 20108925 20853700 21190050 21717639 21896385 22147020 22521996 22885254 23352300 24130710 24519915 25428060 26275662 26811900 27244350 27683775 28152495 28956852 29195180 31280550 31785075 32693220 33782994 34327881 35028450 36196065 36493975 36911700 37536660 38142090 39413493 40217850 40866525 42380100 43435278 43792770 45770508 46920825 48261420 49039830 50674491 52551324 54488700 55367550 56304990 57213135 60326775 62561100 63570150 65689155 67565988 68655762 70056900 72392130 72987950 76284180 78826986 80435700 81733050 84457485 86870556 87585540 93841650 95355225 98079660 101348982 108588195 109481925 110735100 112609980 114426270 118240479 120653550 122599575 127140300 131378310 137311524 140762475 144784260 145975900 152023473 157653972 163466100 168914970 171639405 180980325 187683300 190710450 197067465 202697964 217176390 218963850 228852540 236480958 241307100 245199150 253372455 262756620 281524950 286065675 304046946 328445775 337829940 343278810 354721437 361960650 381420900 394134930 422287425 434352780 437927700 472961916 490398300 506744910 542940975 563049900 572131350 591202395 608093892 656891550 686557620 709442874 723921300 760117365 788269860 844574850 858197025 985337325 1013489820 1064164311 1085881950 1144262700 1182404790 1266862275 1313783100 1418885748 1520234730 1689149700 1716394050 1773607185 1970674650 2128328622 2171763900 2364809580 2533724550 2956011975 3040469460 3432788100 3547214370 3800586825 3941349300 4256657244 5067449100 5320821555 5912023950 7094428740 7601173650 8868035925 10641643110 11824047900 15202347300 17736071850 21283286220 26604107775 35472143700 53208215550 106416431100
- Sum of all divisors σ(n): 416178654528
- Sum of proper divisors (its aliquot sum) s(n): 309762223428
- 106416431100 is an abundant number, because the sum of its proper divisors (309762223428) is greater than itself. Its abundance is 203345792328
Bases of 106416431100
- Binary: 11000110001101110100111011111111111002
- Hexadecimal: 0x18C6E9DFFC
- Base-36: 1CVXLFR0
Squares and roots of 106416431100
- 106416431100 squared (1064164311002) is 11324456808061047210000
- 106416431100 cubed (1064164311003) is 1205108277659954355016812231000000
-
The
square root of 106416431100 is 326215.3140182109 -
The
cube root of 106416431100 is 4738.8129137547
Scales and comparisons
How big is 106416431100?- 106,416,431,100 seconds is equal to 3,383 years, 37 weeks, 15 hours, 45 minutes.
-
To count from 1 to 106,416,431,100 would take you about six thousand, seven hundred sixty-seven 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 106416431100 cubic inches would be around 394.9 feet tall.
Recreational maths with 106416431100
- 106416431100 backwards is 001134614601
- 106416431100 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106416431100's digits is 27
- More coming soon!
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The information we have on file for 106416431100 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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