106672210957312
106,672,210,957,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106672210957312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
106672210957312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 106672210957312:
210 × 73 × 11 × 13 × 37 × 61 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 13 × 37 × 61 × 941)See below for interesting mathematical facts about the number 106672210957312 from the Numbermatics database.
Names of 106672210957312
- Cardinal: 106672210957312 can be written as One hundred six trillion, six hundred seventy-two billion, two hundred ten million, nine hundred fifty-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.06672210957312 × 1014
Factors of 106672210957312
Divisors of 106672210957312
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 37 44 49 52 56 61 64 74 77 88 91 98 104 112 122 128 143 148 154 176 182 196 208 224 244 256 259 286 296 308 343 352 364 392 407 416 427 448 481 488 512 518 539 572 592 616 637 671 686 704 728 784 793 814 832 854 896 941 962 976 1001 1024 1036 1078 1144 1184 1232 1274 1342 1372 1408 1456 1568 1586 1628 1664 1708 1792 1813 1882 1924 1952 2002 2072 2156 2257 2288 2368 2464 2548 2684 2744 2816 2849 2912 2989 3136 3172 3256 3328 3367 3416 3584 3626 3764 3773 3848 3904 4004 4144 4312 4459 4514 4576 4697 4736 4928 5096 5291 5368 5488 5551 5632 5698 5824 5978 6272 6344 6512 6587 6656 6734 6832 7007 7168 7252 7528 7546 7696 7808 8008 8288 8624 8723 8918 9028 9152 9394 9472 9856 10192 10351 10582 10736 10976 11102 11264 11396 11648 11956 12233 12544 12688 12691 13024 13174 13312 13468 13664 14014 14504 15056 15092 15392 15616 15799 16016 16576 17248 17446 17836 18056 18304 18788 18944 19712 19943 20384 20702 20923 21164 21472 21952 22204 22792 23296 23569 23912 24466 24827 25088 25376 25382 26048 26348 26936 27328 28028 29008 29341 30112 30184 30784 31232 31598 32032 32879 33152 34496 34817 34892 35672 36112 36608 37037 37576 37888 38857 39424 39886 40768 41404 41846 42328 42944 43904 44408 45584 46109 46592 47138 47824 48932 49049 49654 50176 50752 50764 52096 52696 53872 54656 56056 57401 58016 58682 60224 60368 61061 61568 62464 63196 64064 65758 66304 68992 69634 69784 71344 72224 72457 73216 74074 75152 77714 78848 79772 81536 82808 83692 84656 85631 85888 87808 88816 91168 92218 93184 94276 95648 97864 98098 99308 101504 101528 104192 105392 107744 109312 110593 112112 114802 116032 117364 120448 120736 122122 123136 126392 128128 131516 132608 134563 137984 139268 139568 139601 142688 144448 144914 146432 148148 150304 155428 159544 163072 164983 165616 167384 169312 171262 171776 173789 175616 177632 182336 184436 188552 191296 195728 196196 198616 203008 203056 205387 208384 210784 215488 218624 221186 224224 229604 230153 232064 234728 240896 241472 243719 244244 246272 252784 256256 259259 263032 265216 269126 271999 275968 278536 279136 279202 285376 288896 289828 296296 300608 310856 319088 322751 322763 326144 329966 331232 334768 338624 342524 343552 347578 351232 355264 364672 368872 377104 382592 382987 391456 392392 397232 401807 406016 406112 410774 416768 421568 427427 430976 437248 442372 448448 452621 459208 460306 464128 469456 481792 482944 487438 488488 492544 505568 507199 512512 518518 526064 538252 543998 551936 557072 558272 558404 570752 577792 579656 592592 599417 601216 621712 631411 638176 645502 645526 652288 659932 662464 669536 677248 685048 687104 695156 710528 729344 737744 746213 754208 765184 765974 774151 782912 784784 794464 803614 812032 812224 821548 843136 854854 861952 884744 896896 905242 918416 920612 928256 938912 941941 963584 965888 974876 976976 1011136 1014398 1025024 1037036 1052128 1076504 1087996 1114144 1116544 1116808 1141504 1155584 1159312 1185184 1198834 1202432 1216523 1243424 1262822 1276352 1291004 1291052 1319864 1324928 1339072 1354496 1370096 1390312 1421056 1437709 1458688 1475488 1492426 1508416 1530368 1531948 1548302 1565824 1569568 1588928 1607228 1624448 1643096 1686272 1706033 1709708 1723904 1769488 1793792 1810484 1814813 1836832 1841224 1856512 1877824 1883882 1931776 1949752 1953952 2022272 2028796 2074072 2104256 2123837 2153008 2175992 2228288 2233088 2233616 2259257 2283008 2311168 2318624 2370368 2397668 2404864 2433046 2486848 2525644 2552704 2582008 2582104 2639728 2649856 2678144 2680909 2708992 2740192 2780624 2812649 2842112 2875418 2917376 2950976 2984852 2991989 3016832 3060736 3063896 3096604 3131648 3139136 3168347 3177856 3214456 3248896 3286192 3372544 3412066 3419416 3447808 3538976 3550393 3587584 3620968 3629626 3673664 3682448 3755648 3767764 3863552 3899504 3907904 4044544 4057592 4148144 4195919 4208512 4247674 4306016 4351984 4419877 4456576 4466176 4467232 4518514 4566016 4637248 4740736 4795336 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102965454592 104172081013 106565645312 109295298112 110885874176 113360479232 119053806872 124908912128 128211792016 131046942208 134517289984 136061493568 146527762304 151523026928 155498849792 158974979072 167460299776 173169173632 180189545536 186489879296 197907627008 205930909184 208344162026 218590596224 221771748352 238107613744 249817824256 256423584032 262093884416 272122987136 293055524608 303046053856 310997699584 346338347264 360379091072 372979758592 411861818368 416688324052 437181192448 476215227488 512847168064 544245974272 586111049216 606092107712 692676694528 720758182144 745959517184 833376648104 874362384896 952430454976 1025694336128 1088491948544 1172222098432 1212184215424 1385353389056 1441516364288 1666753296208 1748724769792 1904860909952 2051388672256 2176983897088 2424368430848 2883032728576 3333506592416 3809721819904 4102777344512 4848736861696 6667013184832 7619443639808 8205554689024 9697473723392 13334026369664 15238887279616 26668052739328 53336105478656 106672210957312
- Sum of all divisors σ(n): 305290510156800
- Sum of proper divisors (its aliquot sum) s(n): 198618299199488
- 106672210957312 is an abundant number, because the sum of its proper divisors (198618299199488) is greater than itself. Its abundance is 91946088242176
Bases of 106672210957312
- Binary: 110000100000100100011110011110111010100000000002
- Hexadecimal: 0x61048F3DD400
- Base-36: 11T8JC7J0G
Squares and roots of 106672210957312
- 106672210957312 squared (1066722109573122) is 11378960590521274315486265344
- 106672210957312 cubed (1066722109573123) is 1213818884587024904082259306397677888995328
-
The
square root of 106672210957312 is 10328223.9982153757 -
The
cube root of 106672210957312 is 47426.0657310595
Scales and comparisons
How big is 106672210957312?- 106,672,210,957,312 seconds is equal to 3,391,846 years, 18 weeks, 1 day, 6 hours, 21 minutes, 52 seconds.
-
To count from 1 to 106,672,210,957,312 would take you about eight million, four hundred seventy-nine thousand, six hundred fifteen 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 106672210957312 cubic inches would be around 3952.2 feet tall.
Recreational maths with 106672210957312
- 106672210957312 backwards is 213759012276601
- 106672210957312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106672210957312's digits is 52
- More coming soon!
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"Number 106672210957312 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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The information we have on file for 106672210957312 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!
Keywords: Divisors of 106672210957312, math, Factors of 106672210957312, curriculum, school, college, exams, university, Prime factorization of 106672210957312, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, six hundred seventy-two billion, two hundred ten million, nine hundred fifty-seven thousand, three hundred twelve.