138344005084343400
138,344,005,084,343,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138344005084343400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138344005084343400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138344005084343400:
23 × 32 × 52 × 173 × 413 × 613
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 41 × 41 × 41 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138344005084343400 from the Numbermatics database.
Names of 138344005084343400
- Cardinal: 138344005084343400 can be written as One hundred thirty-eight quadrillion, three hundred forty-four trillion, five billion, eighty-four million, three hundred forty-three thousand, four hundred.
Scientific notation
- Scientific notation: 1.383440050843434 × 1017
Factors of 138344005084343400
Divisors of 138344005084343400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 41 45 50 51 60 61 68 72 75 82 85 90 100 102 120 122 123 136 150 153 164 170 180 183 200 204 205 225 244 246 255 289 300 305 306 328 340 360 366 369 408 410 425 450 488 492 510 549 578 600 610 612 615 680 697 732 738 765 820 850 867 900 915 984 1020 1025 1037 1098 1156 1220 1224 1230 1275 1394 1445 1464 1476 1525 1530 1640 1681 1700 1734 1800 1830 1845 2040 2050 2074 2091 2196 2312 2440 2460 2501 2550 2601 2745 2788 2890 2952 3050 3060 3075 3111 3362 3400 3468 3485 3660 3690 3721 3825 4100 4148 4182 4335 4392 4575 4913 4920 5002 5043 5100 5185 5202 5490 5576 5780 6100 6120 6150 6222 6273 6724 6936 6970 7225 7320 7380 7442 7503 7650 8200 8296 8364 8405 8670 9150 9225 9333 9826 10004 10086 10200 10370 10404 10455 10980 11163 11560 11849 12200 12300 12444 12505 12546 13005 13448 13725 13940 14450 14739 14760 14884 15006 15129 15300 15555 16728 16810 17340 17425 17629 18300 18450 18605 18666 19652 20008 20172 20740 20808 20910 21675 21960 22326 22509 23698 24565 24600 24888 25010 25092 25215 25925 26010 27450 27880 28577 28900 29478 29768 30012 30258 30600 31110 31365 33489 33620 34680 34850 35258 35547 36600 36900 37210 37332 37515 39304 40344 41480 41820 42025 42517 43350 44217 44652 45018 46665 47396 49130 50020 50184 50430 51850 52020 52275 52887 54900 55815 57154 57800 58956 59245 60024 60516 62220 62525 62730 63257 65025 66978 67240 68921 69700 70516 71094 73695 73800 74420 74664 75030 75645 77775 83640 84050 85034 85731 86700 88145 88434 89304 90036 93025 93330 94792 98260 100040 100860 102541 103700 104040 104550 105774 106641 109800 111630 112545 114308 117912 118490 121032 122825 124440 125050 125460 126075 126514 127551 130050 133956 137842 139400 141032 142188 142885 147390 148840 150060 151290 152561 155550 156825 158661 167445 168100 170068 171462 173400 176290 176868 177735 180072 186050 186660 187575 189771 196520 201433 201720 205082 206763 207400 209100 211548 212585 213282 221085 223260 225090 226981 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7039690875450 7411550684900 7435850851080 7498320058772 7559781698598 7847524254600 7939397709288 7978316325510 8229863479140 8270205947175 8893860821880 9042091835578 9144292754600 9219245973900 9294813563850 9372900073465 9386254500600 9573979590612 9924247136610 10079708931464 10287329348925 10637755100680 11026941262900 11063095168680 11117326027350 11247480088158 11339672547897 11675584866600 11967474488265 12393084751800 12599636164330 13232329515480 13297193875850 13340791232820 13563137753367 13716439131900 13828868960850 14079381750900 14823101369800 14996640117544 15119563397196 15956632651020 16459726958280 16540411894350 16675989041025 16871220132237 18084183671156 18438491947800 18589627127700 18745800146930 18899454246495 19147959181224 19848494273220 19945790813775 20574658697850 22053882525800 22234652054700 22494960176316 22605229588945 22679345095794 23934948976530 24810617841525 25199272328660 26594387751700 26681582465640 27126275506734 27432878263800 27657737921700 28118700220395 28158763501800 30239126794392 31499090410825 31913265302040 33080823788700 33351978082050 33742440264474 36168367342312 37179254255400 37491600293860 37798908492990 39696988546440 39891581627550 40689413260101 41149317395700 44469304109400 44989920352632 45210459177890 45358690191588 46864500367325 47869897953060 49621235683050 50398544657320 53188775503400 54252551013468 55315475843400 56237400440790 56698362739485 59837372441325 62998180821650 66161647577400 66703956164100 67484880528948 67815688766835 74983200587720 75597816985980 76857780602413 79783163255100 81378826520202 82298634791400 84356100661185 90420918355780 90717380383176 93729000734650 94497271232475 95739795906120 99242471366100 108505102026936 112474800881580 113026147944725 113396725478970 119674744882650 125996361643300 133407912328200 134969761057896 135631377533670 140593501101975 151195633971960 153715561204826 159566326510200 162757653040404 168712201322370 180841836711560 187458001469300 188994542464950 198484942732200 203447066300505 224949601763160 226052295889450 226793450957940 230573341807239 239349489765300 251992723286600 271262755067340 281187002203950 283491813697425 307431122409652 325515306080808 337424402644740 339078443834175 374916002938600 377989084929900 384288903012065 406894132601010 421780503305925 452104591778900 453586901915880 461146683614478 478698979530600 542525510134680 562374004407900 566983627394850 614862244819304 674848805289480 678156887668350 691720025421717 755978169859800 768577806024130 813788265202020 843561006611850 904209183557800 922293367228956 1017235331502525 1124748008815800 1133967254789700 1152866709036195 1356313775336700 1383440050843434 1537155612048260 1627576530404040 1687122013223700 1844586734457912 1921444515060325 2034470663005050 2267934509579400 2305733418072390 2712627550673400 2766880101686868 3074311224096520 3374244026447400 3458600127108585 3842889030120650 4068941326010100 4611466836144780 5533760203373736 5764333545180975 6917200254217170 7685778060241300 8137882652020200 9222933672289560 11528667090361950 13834400508434340 15371556120482600 17293000635542925 23057334180723900 27668801016868680 34586001271085850 46114668361447800 69172002542171700 138344005084343400
- Sum of all divisors σ(n): 514410883355678400
- Sum of proper divisors (its aliquot sum) s(n): 376066878271335000
- 138344005084343400 is an abundant number, because the sum of its proper divisors (376066878271335000) is greater than itself. Its abundance is 237722873186991600
Bases of 138344005084343400
- Binary: 1111010110111111100100011101111111101101101101100011010002
- Hexadecimal: 0x1EB7F23BFDB6C68
- Base-36: 11U6UUK2UVE0
Squares and roots of 138344005084343400
- 138344005084343400 squared (1383440050843434002) is 19139063742776832509747809123560000
- 138344005084343400 cubed (1383440050843434003) is 2647774731740290539495236949231493621832070504000000
-
The
square root of 138344005084343400 is 371946239.5082700657 -
The
cube root of 138344005084343400 is 517193.9644915885
Scales and comparisons
How big is 138344005084343400?- 138,344,005,084,343,400 seconds is equal to 4,398,911,435 years, 30 weeks, 6 hours, 30 minutes.
-
To count from 1 to 138,344,005,084,343,400 would take you about thirteen billion, one hundred ninety-six million, seven hundred thirty-four thousand, three hundred six 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 138344005084343400 cubic inches would be around 43099.5 feet tall.
Recreational maths with 138344005084343400
- 138344005084343400 backwards is 004343480500443831
- The number of decimal digits it has is: 18
- The sum of 138344005084343400's digits is 54
- More coming soon!
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"Number 138344005084343400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138344005084343400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138344005084343400/
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Numbermatics. 2024. "Number 138344005084343400 - Facts about the integer". https://numbermatics.com/n/138344005084343400/
The information we have on file for 138344005084343400 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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