106727213809704960
106,727,213,809,704,960 is an even composite number composed of six prime numbers multiplied together.
106727213809704960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 106727213809704960:
213 × 32 × 5 × 172 × 312 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 17 × 31 × 31 × 1021 × 1021)See below for interesting mathematical facts about the number 106727213809704960 from the Numbermatics database.
Names of 106727213809704960
- Cardinal: 106727213809704960 can be written as One hundred six quadrillion, seven hundred twenty-seven trillion, two hundred thirteen billion, eight hundred nine million, seven hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0672721380970496 × 1017
Factors of 106727213809704960
Divisors of 106727213809704960
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 31 32 34 36 40 45 48 51 60 62 64 68 72 80 85 90 93 96 102 120 124 128 136 144 153 155 160 170 180 186 192 204 240 248 255 256 272 279 288 289 306 310 320 340 360 372 384 408 465 480 496 510 512 527 544 558 576 578 612 620 640 680 720 744 765 768 816 867 930 960 961 992 1020 1021 1024 1054 1088 1116 1152 1156 1224 1240 1280 1360 1395 1440 1445 1488 1530 1536 1581 1632 1734 1860 1920 1922 1984 2040 2042 2048 2108 2176 2232 2304 2312 2448 2480 2560 2601 2635 2720 2790 2880 2883 2890 2976 3060 3063 3072 3162 3264 3468 3720 3840 3844 3968 4080 4084 4096 4216 4335 4352 4464 4608 4624 4743 4805 4896 4960 5105 5120 5202 5270 5440 5580 5760 5766 5780 5952 6120 6126 6144 6324 6528 6936 7440 7680 7688 7905 7936 8160 8168 8192 8432 8649 8670 8704 8928 8959 9189 9216 9248 9486 9610 9792 9920 10210 10240 10404 10540 10880 11160 11520 11532 11560 11904 12240 12252 12288 12648 13005 13056 13872 14415 14880 15315 15360 15376 15810 15872 16320 16336 16337 16864 17298 17340 17357 17408 17856 17918 18378 18432 18496 18972 19220 19584 19840 20420 20480 20808 21080 21760 22320 23040 23064 23120 23715 23808 24480 24504 24576 25296 26010 26112 26877 27744 28830 29760 30630 30720 30752 31620 31651 31744 32640 32672 32674 33728 34596 34680 34714 34816 35712 35836 36756 36864 36992 37944 38440 39168 39680 40840 40960 41616 42160 43245 43520 44640 44795 45945 46080 46128 46240 47430 47616 48960 49008 49011 50592 52020 52071 52224 53754 55488 57660 59520 61260 61440 61504 63240 63302 63488 65280 65344 65348 67456 69192 69360 69428 69632 71424 71672 73512 73728 73984 75888 76880 78336 79360 80631 81680 81685 83232 84320 86490 86785 87040 89280 89590 91890 92160 92256 92480 94860 94953 95232 97920 98016 98022 101184 104040 104142 104448 107508 110976 115320 119040 122520 122880 123008 126480 126604 126976 130560 130688 130696 134385 134912 138384 138720 138856 139264 142848 143344 147024 147033 147968 151776 153760 156213 156672 158255 158720 161262 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13501228818432 13882311889920 13896772631472 14345055619584 15387429903360 16349144272320 16876536023040 17370965789340 17422006824960 17439087223808 17931319524480 18464915884032 18509749186560 18529030175296 19126740826112 19618973126784 20251843227648 20516573204480 20845158947208 20906408189952 21517583429376 21798859029760 22211699023872 22502048030720 23081144855040 23161287719120 23908426032640 24523716408480 24619887845376 25314804034560 26056448684010 26133010237440 26158630835712 26896979286720 27764623779840 27793545262944 28690111239168 30774859806720 32698288544640 33753072046080 34741931578680 34844013649920 34878174447616 35862639048960 36929831768064 37019498373120 37058060350592 38253481652224 39237946253568 40503686455296 41033146408960 41690317894416 43035166858752 43597718059520 46162289710080 46322575438240 47816852065280 49047432816960 50629608069120 52112897368020 52266020474880 52317261671424 53793958573440 55529247559680 55587090525888 57380222478336 61549719613440 65396577089280 67506144092160 69483863157360 69756348895232 71725278097920 73859663536128 74116120701184 76506963304448 78475892507136 83380635788832 86070333717504 87195436119040 92324579420160 92645150876480 95633704130560 98094865633920 101259216138240 104225794736040 104532040949760 104634523342848 107587917146880 111058495119360 111174181051776 114760444956672 123099439226880 130793154178560 138967726314720 139512697790464 143450556195840 148232241402368 156951785014272 166761271577664 172140667435008 174390872238080 184649158840320 185290301752960 191267408261120 196189731267840 202518432276480 208451589472080 209269046685696 215175834293760 222348362103552 229520889913344 261586308357120 277935452629440 286901112391680 296464482804736 313903570028544 333522543155328 344281334870016 348781744476160 369298317680640 370580603505920 382534816522240 392379462535680 416903178944160 418538093371392 430351668587520 444696724207104 523172616714240 555870905258880 573802224783360 592928965609472 627807140057088 667045086310656 688562669740032 697563488952320 741161207011840 784758925071360 833806357888320 860703337175040 889393448414208 1046345233428480 1111741810517760 1147604449566720 1185857931218944 1255614280114176 1334090172621312 1482322414023680 1569517850142720 1667612715776640 1721406674350080 1778786896828416 2092690466856960 2223483621035520 2371715862437888 2668180345242624 2964644828047360 3139035700285440 3335225431553280 3442813348700160 3557573793656832 4446967242071040 5336360690485248 5929289656094720 6278071400570880 6670450863106560 7115147587313664 8893934484142080 10672721380970496 11858579312189440 13340901726213120 17787868968284160 21345442761940992 26681803452426240 35575737936568320 53363606904852480 106727213809704960
- Sum of all divisors σ(n): 406492663765498362
- Sum of proper divisors (its aliquot sum) s(n): 299765449955793402
- 106727213809704960 is an abundant number, because the sum of its proper divisors (299765449955793402) is greater than itself. Its abundance is 193038236146088442
Bases of 106727213809704960
- Binary: 1011110110010101111010101111000101111111010100000000000002
- Hexadecimal: 0x17B2BD5E2FEA000
- Base-36: T6VN15RAPS0
Squares and roots of 106727213809704960
- 106727213809704960 squared (1067272138097049602) is 11390698167582477121775082248601600
- 106727213809704960 cubed (1067272138097049603) is 1215697478773389534997759075826830016441468583936000
-
The
square root of 106727213809704960 is 326691312.7245733175 -
The
cube root of 106727213809704960 is 474342.1568454869
Scales and comparisons
How big is 106727213809704960?- 106,727,213,809,704,960 seconds is equal to 3,393,595,270 years, 10 weeks, 3 days, 1 hour, 36 minutes.
-
To count from 1 to 106,727,213,809,704,960 would take you about ten billion, one hundred eighty million, seven hundred eighty-five thousand, eight hundred ten 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 106727213809704960 cubic inches would be around 39528.5 feet tall.
Recreational maths with 106727213809704960
- 106727213809704960 backwards is 069407908312727601
- 106727213809704960 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106727213809704960's digits is 72
- More coming soon!
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"Number 106727213809704960 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 106727213809704960 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/106727213809704960/
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Numbermatics. 2024. "Number 106727213809704960 - Facts about the integer". https://numbermatics.com/n/106727213809704960/
The information we have on file for 106727213809704960 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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