138072866400
138,072,866,400 is an even composite number composed of five prime numbers multiplied together.
138072866400 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 138072866400:
25 × 32 × 52 × 76 × 163
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 163)See below for interesting mathematical facts about the number 138072866400 from the Numbermatics database.
Names of 138072866400
- Cardinal: 138072866400 can be written as One hundred thirty-eight billion, seventy-two million, eight hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.380728664 × 1011
Factors of 138072866400
Divisors of 138072866400
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 126 140 144 147 150 160 163 168 175 180 196 200 210 224 225 240 245 252 280 288 294 300 315 326 336 343 350 360 392 400 420 441 450 480 489 490 504 525 560 588 600 630 652 672 686 700 720 735 784 800 815 840 882 900 978 980 1008 1029 1050 1120 1141 1176 1200 1225 1260 1304 1372 1400 1440 1467 1470 1568 1575 1630 1680 1715 1764 1800 1956 1960 2016 2058 2100 2205 2282 2352 2400 2401 2445 2450 2520 2608 2744 2800 2934 2940 3087 3150 3260 3360 3423 3430 3528 3600 3675 3912 3920 4075 4116 4200 4410 4564 4704 4802 4890 4900 5040 5145 5216 5488 5600 5705 5868 5880 6174 6300 6520 6846 6860 7056 7200 7203 7335 7350 7824 7840 7987 8150 8232 8400 8575 8820 9128 9604 9780 9800 10080 10269 10290 10976 11025 11410 11736 11760 12005 12225 12348 12600 13040 13692 13720 14112 14406 14670 14700 15435 15648 15974 16300 16464 16800 16807 17115 17150 17640 18256 19208 19560 19600 20538 20580 21609 22050 22820 23472 23520 23961 24010 24450 24696 25200 25725 26080 27384 27440 28525 28812 29340 29400 30870 31948 32600 32928 33614 34230 34300 35280 36015 36512 36675 38416 39120 39200 39935 41076 41160 43218 44100 45640 46944 47922 48020 48900 49392 50400 50421 51345 51450 54768 54880 55909 57050 57624 58680 58800 60025 61740 63896 65200 67228 68460 68600 70560 71883 72030 73350 76832 77175 78240 79870 82152 82320 84035 85575 86436 88200 91280 95844 96040 97800 98784 100842 102690 102900 108045 109536 111818 114100 115248 117360 117600 117649 119805 120050 123480 127792 130400 134456 136920 137200 143766 144060 146700 151263 154350 159740 164304 164640 167727 168070 171150 172872 176400 180075 182560 191688 192080 195600 199675 201684 205380 205800 216090 223636 228200 230496 234720 235298 239610 240100 246960 252105 255584 256725 268912 273840 274400 279545 287532 288120 293400 302526 308700 319480 328608 335454 336140 342300 345744 352800 352947 359415 360150 383376 384160 391200 391363 399350 403368 410760 411600 420175 432180 447272 456400 470596 479220 480200 493920 503181 504210 513450 537824 540225 547680 559090 575064 576240 586800 588245 599025 605052 617400 638960 670908 672280 684600 691488 705894 718830 720300 756315 766752 782726 798700 806736 821520 823200 838635 840350 864360 894544 912800 941192 958440 960400 1006362 1008420 1026900 1058841 1080450 1118180 1150128 1152480 1173600 1174089 1176490 1198050 1210104 1234800 1260525 1277920 1341816 1344560 1369200 1397725 1411788 1437660 1440600 1512630 1565452 1597400 1613472 1643040 1677270 1680700 1728720 1764735 1789088 1797075 1882384 1916880 1920800 1956815 2012724 2016840 2053800 2117682 2160900 2236360 2300256 2348178 2352980 2396100 2420208 2469600 2515905 2521050 2683632 2689120 2738400 2739541 2795450 2823576 2875320 2881200 2941225 3025260 3130904 3194800 3354540 3361400 3457440 3522267 3529470 3594150 3764768 3781575 3833760 3913630 4025448 4033680 4107600 4193175 4235364 4321800 4472720 4696356 4705960 4792200 4840416 5031810 5042100 5294205 5367264 5479082 5590900 5647152 5750640 5762400 5870445 5882450 6050520 6261808 6389600 6709080 6722800 7044534 7058940 7188300 7563150 7827260 8050896 8067360 8215200 8218623 8386350 8470728 8643600 8823675 8945440 9392712 9411920 9584400 9784075 10063620 10084200 10588410 10958164 11181800 11294304 11501280 11740890 11764900 12101040 12523616 12579525 13418160 13445600 13697705 14089068 14117880 14376600 15126300 15654520 16101792 16437246 16772700 16941456 17287200 17611335 17647350 18785424 18823840 19168800 19176787 19568150 20127240 20168400 21176820 21916328 22363600 23481780 23529800 24202080 24655869 25159050 26471025 26836320 27395410 28178136 28235760 28753200 29352225 30252600 31309040 32874492 33545400 33882912 35222670 35294700 37570848 38353574 39136300 40254480 40336800 41093115 42353640 43832656 44727200 46963560 47059600 49311738 50318100 52942050 54790820 56356272 56471520 57506400 57530361 58704450 60505200 62618080 65748984 67090800 68488525 70445340 70589400 76707148 78272600 80508960 82186230 84707280 87665312 88056675 93927120 94119200 95883935 98623476 100636200 105884100 109581640 112712544 115060722 117408900 121010400 123279345 131497968 134181600 136977050 140890680 141178800 153414296 156545200 164372460 169414560 172591083 176113350 187854240 191767870 197246952 201272400 205465575 211768200 219163280 230121444 234817800 246558690 262995936 273954100 281781360 282357600 287651805 306828592 313090400 328744920 345182166 352226700 383535740 394493904 402544800 410931150 423536400 438326560 460242888 469635600 479419675 493117380 547908200 563562720 575303610 613657184 616396725 657489840 690364332 704453400 767071480 788987808 821862300 847072800 862955415 920485776 939271200 958839350 986234760 1095816400 1150607220 1232793450 1314979680 1380728664 1408906800 1438259025 1534142960 1643724600 1725910830 1840971552 1917678700 1972469520 2191632800 2301214440 2465586900 2761457328 2817813600 2876518050 3068285920 3287449200 3451821660 3835357400 3944939040 4314777075 4602428880 4931173800 5522914656 5753036100 6574898400 6903643320 7670714800 8629554150 9204857760 9862347600 11506072200 13807286640 15341429600 17259108300 19724695200 23012144400 27614573280 34518216600 46024288800 69036433200 138072866400
- Sum of all divisors σ(n): 571510147572
- Sum of proper divisors (its aliquot sum) s(n): 433437281172
- 138072866400 is an abundant number, because the sum of its proper divisors (433437281172) is greater than itself. Its abundance is 295364414772
Bases of 138072866400
- Binary: 100000001001011100100010111110011000002
- Hexadecimal: 0x2025C8BE60
- Base-36: 1RFH0PK0
Squares and roots of 138072866400
- 138072866400 squared (1380728664002) is 19064116435912248960000
- 138072866400 cubed (1380728664003) is 2632237201689756112777618944000000
-
The
square root of 138072866400 is 371581.5743548111 -
The
cube root of 138072866400 is 5168.5586285527
Scales and comparisons
How big is 138072866400?- 138,072,866,400 seconds is equal to 4,390 years, 15 weeks, 14 hours.
-
To count from 1 to 138,072,866,400 would take you about eight thousand, seven hundred eighty 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 138072866400 cubic inches would be around 430.7 feet tall.
Recreational maths with 138072866400
- 138072866400 backwards is 004668270831
- 138072866400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138072866400's digits is 45
- More coming soon!
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The information we have on file for 138072866400 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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