138650400
138,650,400 is an even composite number composed of five prime numbers multiplied together.
138650400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138650400:
25 × 33 × 52 × 72 × 131
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 131)See below for interesting mathematical facts about the number 138650400 from the Numbermatics database.
Names of 138650400
- Cardinal: 138650400 can be written as One hundred thirty-eight million, six hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.386504 × 108
Factors of 138650400
Divisors of 138650400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 96 98 100 105 108 112 120 126 131 135 140 144 147 150 160 168 175 180 189 196 200 210 216 224 225 240 245 252 262 270 280 288 294 300 315 336 350 360 378 392 393 400 420 432 441 450 480 490 504 524 525 540 560 588 600 630 655 672 675 700 720 735 756 784 786 800 840 864 882 900 917 945 980 1008 1048 1050 1080 1120 1176 1179 1200 1225 1260 1310 1323 1350 1400 1440 1470 1512 1568 1572 1575 1680 1764 1800 1834 1890 1960 1965 2016 2096 2100 2160 2205 2352 2358 2400 2450 2520 2620 2646 2700 2751 2800 2940 3024 3144 3150 3275 3360 3528 3537 3600 3668 3675 3780 3920 3930 4192 4200 4320 4410 4585 4704 4716 4725 4900 5040 5240 5292 5400 5502 5600 5880 5895 6048 6288 6300 6419 6550 6615 7056 7074 7200 7336 7350 7560 7840 7860 8253 8400 8820 9170 9432 9450 9800 9825 10080 10480 10584 10800 11004 11025 11760 11790 12576 12600 12838 13100 13230 13755 14112 14148 14672 14700 15120 15720 16506 16800 17640 17685 18340 18864 18900 19257 19600 19650 20960 21168 21600 22008 22050 22925 23520 23580 24759 25200 25676 26200 26460 27510 28296 29344 29400 29475 30240 31440 32095 33012 33075 35280 35370 36680 37728 37800 38514 39200 39300 41265 42336 44016 44100 45850 47160 49518 50400 51352 52400 52920 55020 56592 57771 58800 58950 62880 64190 66024 66150 68775 70560 70740 73360 75600 77028 78600 82530 88032 88200 88425 91700 94320 96285 99036 102704 104800 105840 110040 113184 115542 117600 117900 123795 128380 132048 132300 137550 141480 146720 151200 154056 157200 160475 165060 173313 176400 176850 183400 188640 192570 198072 205408 206325 211680 220080 231084 235800 247590 256760 264096 264600 275100 282960 288855 308112 314400 320950 330120 346626 352800 353700 366800 385140 396144 412650 440160 462168 471600 481425 495180 513520 529200 550200 565920 577710 616224 618975 641900 660240 693252 707400 733600 770280 792288 825300 866565 924336 943200 962850 990360 1027040 1058400 1100400 1155420 1237950 1283800 1320480 1386504 1414800 1444275 1540560 1650600 1733130 1848672 1925700 1980720 2200800 2310840 2475900 2567600 2773008 2829600 2888550 3081120 3301200 3466260 3851400 3961440 4332825 4621680 4951800 5135200 5546016 5777100 6602400 6932520 7702800 8665650 9243360 9903600 11554200 13865040 15405600 17331300 19807200 23108400 27730080 34662600 46216800 69325200 138650400
- Sum of all divisors σ(n): 587774880
- Sum of proper divisors (its aliquot sum) s(n): 449124480
- 138650400 is an abundant number, because the sum of its proper divisors (449124480) is greater than itself. Its abundance is 310474080
Bases of 138650400
- Binary: 10000100001110100011001000002
- Hexadecimal: 0x843A320
- Base-36: 2AJRC0
Squares and roots of 138650400
- 138650400 squared (1386504002) is 19223933420160000
- 138650400 cubed (1386504003) is 2665406058278552064000000
-
The
square root of 138650400 is 11774.9904458561 -
The
cube root of 138650400 is 517.5754983317
Scales and comparisons
How big is 138650400?- 138,650,400 seconds is equal to 4 years, 21 weeks, 1 day, 18 hours.
-
To count from 1 to 138,650,400 would take you about 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 138650400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138650400
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