138939471506880
138,939,471,506,880 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138939471506880 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
138939471506880 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138939471506880:
26 × 32 × 5 × 11 × 17 × 19 × 43 × 337 × 937
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 17 × 19 × 43 × 337 × 937)See below for interesting mathematical facts about the number 138939471506880 from the Numbermatics database.
Names of 138939471506880
- Cardinal: 138939471506880 can be written as One hundred thirty-eight trillion, nine hundred thirty-nine billion, four hundred seventy-one million, five hundred six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3893947150688 × 1014
Factors of 138939471506880
Divisors of 138939471506880
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 30 32 33 34 36 38 40 43 44 45 48 51 55 57 60 64 66 68 72 76 80 85 86 88 90 95 96 99 102 110 114 120 129 132 136 144 152 153 160 165 170 171 172 176 180 187 190 192 198 204 209 215 220 228 240 255 258 264 272 285 288 304 306 320 323 330 337 340 342 344 352 360 374 380 387 396 408 418 430 440 456 473 480 495 510 516 528 544 561 570 576 608 612 627 645 646 660 674 680 684 688 704 720 731 748 760 765 774 792 816 817 836 855 860 880 912 935 937 946 960 969 990 1011 1020 1032 1045 1056 1088 1122 1140 1216 1224 1254 1290 1292 1320 1348 1360 1368 1376 1419 1440 1462 1496 1520 1530 1548 1584 1615 1632 1634 1672 1683 1685 1710 1720 1760 1824 1870 1874 1881 1892 1935 1938 1980 2022 2040 2064 2090 2112 2193 2244 2280 2365 2448 2451 2508 2580 2584 2640 2696 2720 2736 2752 2805 2811 2838 2880 2907 2924 2992 3033 3040 3060 3096 3135 3168 3230 3264 3268 3344 3366 3370 3420 3440 3520 3553 3648 3655 3707 3740 3748 3762 3784 3870 3876 3960 4044 4080 4085 4128 4180 4257 4386 4488 4560 4685 4730 4845 4896 4902 5016 5055 5160 5168 5280 5392 5440 5472 5610 5622 5676 5729 5814 5848 5984 6066 6080 6120 6192 6270 6336 6403 6460 6536 6579 6688 6732 6740 6840 6880 7095 7106 7310 7353 7414 7480 7496 7524 7568 7740 7752 7920 8041 8088 8160 8170 8256 8360 8415 8433 8514 8772 8976 8987 9120 9370 9405 9460 9690 9792 9804 10032 10110 10307 10320 10336 10560 10659 10784 10944 10965 11121 11220 11244 11352 11458 11628 11696 11968 12132 12240 12255 12384 12540 12806 12920 13072 13158 13376 13464 13480 13680 13760 13889 14055 14190 14212 14491 14535 14620 14706 14828 14960 14992 15048 15136 15165 15480 15504 15840 15929 16082 16176 16320 16340 16720 16830 16866 17028 17187 17544 17765 17803 17952 17974 18240 18535 18740 18810 18920 19209 19380 19608 20064 20220 20614 20640 20672 21285 21318 21568 21930 22242 22440 22488 22704 22916 23256 23392 24123 24264 24480 24510 24768 25080 25612 25840 26144 26316 26928 26960 26961 27360 27778 28110 28380 28424 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34356941520 35085725128 35846096880 35901672224 36717619320 36932342240 37070296560 37149591312 37480299840 38013535296 38086477935 39104832960 39471440769 40389381252 40625576464 41228329824 41277323680 41548885020 42515138160 42567240045 43015316256 43857156410 44318810688 44877090280 45405056048 45703773522 45809255360 46436989140 47516919120 47794795840 48242872051 48956825760 49427062080 49532788416 50486726565 50781970580 51080688054 51535412280 52628587692 53769145320 53852508336 55398513360 56686850880 56756320060 58748190912 60938364696 61915985520 63355892160 65785734615 66478216032 67315635420 68107584072 68713883040 70171450256 71692193760 71803344448 73435238640 73864684480 74140593120 74299182624 76172955870 78942881538 80778762504 81251152928 82456659648 82554647360 83097770040 85030276320 85134480090 86030632512 87714312820 89754180560 90810112096 91407547044 92873978280 95033838240 96485744102 97913651520 100973453130 101563941160 102161376108 103070824560 105257175384 107538290640 107705016672 110797026720 113512640120 114259433805 121876729392 123831971040 127701720135 131571469230 132956432064 134631270840 136215168144 137427766080 140342900512 143384387520 144728616153 146870477280 148281186240 148598365248 152345911740 157885763076 161557525008 162502305856 166195540080 170060552640 170268960180 175428625640 179508361120 181620224192 182815094088 185747956560 190067676480 192971488204 197357203845 201946906260 203127882320 204322752216 206141649120 210514350768 215076581280 215410033344 221594053440 227025280240 228518867610 241214360255 243753458784 247663942080 255403440270 263142938460 269262541680 272430336288 280685801024 289457232306 293740954560 304691823480 315771526152 323115050016 332391080160 340537920360 350857251280 359016722240 365630188176 371495913120 385942976408 394714407690 403893812520 406255764640 408645504432 412283298240 421028701536 430153162560 434185848459 454050560480 457037735220 482428720510 487506917568 510806880540 526285876920 538525083360 544860672576 578914464612 609383646960 631543052304 646230100032 664782160320 681075840720 701714502560 723643080765 731260376352 742991826240 771885952816 789428815380 807787625040 812511529280 817291008864 842057403072 868371696918 908101120960 914075470440 964857441020 1021613761080 1052571753840 1077050166720 1157828929224 1218767293920 1263086104608 1362151681440 1403429005120 1447286161530 1462520752704 1543771905632 1578857630760 1615575250080 1634582017728 1736743393836 1828150940880 1929714882040 2043227522160 2105143507680 2170929242295 2315657858448 2437534587840 2526172209216 2724303362880 2894572323060 3087543811264 3157715261520 3231150500160 3473486787672 3656301881760 3859429764080 4086455044320 4210287015360 4341858484590 4631315716896 5789144646120 6315430523040 6946973575344 7312603763520 7718859528160 8172910088640 8683716969180 9262631433792 11578289292240 12630861046080 13893947150688 15437719056320 17367433938360 23156578584480 27787894301376 34734867876720 46313157168960 69469735753440 138939471506880
- Sum of all divisors σ(n): 596972445189120
- Sum of proper divisors (its aliquot sum) s(n): 458032973682240
- 138939471506880 is an abundant number, because the sum of its proper divisors (458032973682240) is greater than itself. Its abundance is 319093502175360
Bases of 138939471506880
- Binary: 111111001011101010111011101100000101101110000002
- Hexadecimal: 0x7E5D5DD82DC0
- Base-36: 1D8ZWU0VK0
Squares and roots of 138939471506880
- 138939471506880 squared (1389394715068802) is 19304176742611119377887334400
- 138939471506880 cubed (1389394715068803) is 2682112114493793192376239529399634460672000
-
The
square root of 138939471506880 is 11787258.8631488025 -
The
cube root of 138939471506880 is 51793.4945476967
Scales and comparisons
How big is 138939471506880?- 138,939,471,506,880 seconds is equal to 4,417,845 years, 22 weeks, 1 day, 48 minutes.
-
To count from 1 to 138,939,471,506,880 would take you about eleven million, forty-four thousand, six hundred thirteen 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 138939471506880 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138939471506880
- 138939471506880 backwards is 088605174939831
- 138939471506880 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138939471506880's digits is 72
- More coming soon!
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"Number 138939471506880 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138939471506880 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138939471506880/
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The information we have on file for 138939471506880 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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