138131626480320
138,131,626,480,320 is an even composite number composed of nine prime numbers multiplied together.
138131626480320 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 138131626480320:
26 × 3 × 5 × 112 × 17 × 31 × 61 × 71 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 31 × 61 × 71 × 521)See below for interesting mathematical facts about the number 138131626480320 from the Numbermatics database.
Names of 138131626480320
- Cardinal: 138131626480320 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, six hundred twenty-six million, four hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3813162648032 × 1014
Factors of 138131626480320
Divisors of 138131626480320
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 31 32 33 34 40 44 48 51 55 60 61 62 64 66 68 71 80 85 88 93 96 102 110 120 121 122 124 132 136 142 155 160 165 170 176 183 186 187 192 204 213 220 240 242 244 248 255 264 272 284 305 310 320 330 340 341 352 355 363 366 372 374 408 426 440 465 480 484 488 496 510 521 527 528 544 561 568 605 610 620 660 671 680 682 704 710 726 732 744 748 781 816 852 880 915 930 935 960 968 976 992 1020 1023 1037 1042 1054 1056 1065 1088 1122 1136 1207 1210 1220 1240 1320 1342 1360 1364 1420 1452 1464 1488 1496 1562 1563 1581 1632 1704 1705 1760 1815 1830 1860 1870 1891 1936 1952 1984 2013 2040 2046 2057 2074 2084 2108 2112 2130 2201 2244 2272 2343 2414 2420 2440 2480 2605 2635 2640 2684 2720 2728 2805 2840 2904 2928 2976 2992 3111 3124 3126 3162 3264 3355 3408 3410 3520 3621 3630 3660 3720 3740 3751 3782 3872 3904 3905 4026 4080 4092 4114 4148 4168 4216 4260 4331 4402 4488 4544 4686 4828 4840 4880 4960 5115 5185 5210 5270 5280 5368 5440 5456 5610 5673 5680 5731 5797 5808 5856 5952 5984 6035 6171 6222 6248 6252 6324 6603 6710 6816 6820 7242 7260 7320 7381 7440 7480 7502 7564 7744 7810 7815 7905 8052 8160 8184 8228 8296 8336 8432 8520 8591 8662 8804 8857 8976 9372 9455 9656 9680 9760 9920 10065 10230 10285 10370 10420 10540 10560 10736 10912 11005 11220 11253 11346 11360 11407 11462 11594 11616 11712 11715 11968 12070 12342 12444 12496 12504 12648 12993 13206 13277 13420 13632 13640 14484 14520 14640 14762 14880 14960 15004 15128 15555 15620 15630 15810 16104 16151 16320 16368 16456 16592 16672 16864 17040 17182 17193 17324 17391 17608 17714 17952 18105 18744 18755 18910 19312 19360 19520 20130 20460 20570 20740 20801 20840 21080 21472 21655 21824 22010 22143 22440 22506 22692 22720 22814 22924 23188 23232 23430 24140 24211 24684 24888 24992 25008 25296 25773 25986 26412 26554 26571 26840 27280 28365 28655 28968 28985 29040 29280 29524 29760 29920 30008 30256 30855 31110 31240 31260 31620 31781 32147 32208 32302 32736 32912 33015 33184 33344 33728 34080 34221 34364 34386 34648 34782 35216 35428 35904 36210 36905 36991 37417 37488 37510 37820 38624 38720 39831 40260 40920 41140 41480 41602 41680 42160 42944 42955 43310 44020 44285 44286 44880 45012 45384 45628 45848 46376 46860 47641 48280 48422 48453 49368 49776 49984 50016 50592 51546 51972 52824 53108 53142 53680 54560 56265 56730 57035 57310 57936 57970 58080 58560 59048 59840 60016 60512 61710 62220 62403 62480 62520 63041 63240 63562 63767 64294 64416 64604 64965 65472 65824 66030 66368 66385 68160 68442 68728 68772 69296 69564 70432 70856 72420 72633 73627 73810 73982 74834 74976 75020 75640 77248 79662 80520 80755 81840 82280 82960 83204 83360 84320 85910 85965 86620 86955 88040 88570 88572 89760 90024 90768 91256 91696 92752 93720 95282 95343 96441 96560 96844 96906 97427 98736 99552 100032 101184 103092 103944 104005 105648 106216 106284 107360 109120 110715 110973 112251 112530 113460 114070 114620 115872 115940 116160 118096 120032 121024 121055 123420 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68619784640 69622795605 70764152910 71348980620 73046867520 73867179936 74264315312 75481763104 76105579328 78483878682 81015616704 81063161080 84639477010 87369782720 88375960640 88432539360 92333974920 92830394140 94352203880 95131974160 97275793296 101269520880 101567372412 102929676960 104645171576 111396472968 113222644656 114158368992 114442109760 121594741620 123111966560 126959215515 129701057728 130806464470 131054674080 132563940960 133203111360 135026027840 135423163216 139245591210 141528305820 142697961240 143887110917 147734359872 148528630624 150963526208 156967757364 162126322160 169278954020 176865078720 184667949840 185660788280 188704407760 190263948320 194551586592 196209696705 202539041760 203134744824 205859353920 209290343152 222792945936 226445289312 228316737984 243189483240 246223933120 253918431030 261612928940 262109348160 265127881920 270846326432 278491182420 283056611640 285395922480 287774221834 297057261248 313935514728 324252644320 338557908040 369335899680 371321576560 377408815520 380527896640 389103173184 392419393410 405078083520 406269489648 418580686304 431661332751 445585891872 452890578624 486378966480 507836862060 523225857880 541692652864 556982364840 566113223280 570791844960 575548443668 627871029456 648505288640 677115816080 719435554585 738671799360 742643153120 754817631040 784838786820 812538979296 837161372608 863322665502 891171783744 972757932960 1015673724120 1046451715760 1113964729680 1132226446560 1141583689920 1151096887336 1255742058912 1354231632160 1438871109170 1485286306240 1569677573640 1625077958592 1726645331004 1945515865920 2031347448240 2092903431520 2158306663755 2227929459360 2264452893120 2302193774672 2511484117824 2708463264320 2877742218340 3139355147280 3453290662008 4062694896480 4185806863040 4316613327510 4455858918720 4604387549344 5755484436680 6278710294560 6906581324016 8125389792960 8633226655020 9208775098688 11510968873360 12557420589120 13813162648032 17266453310040 23021937746720 27626325296064 34532906620080 46043875493440 69065813240160 138131626480320
- Sum of all divisors σ(n): 544106326966272
- Sum of proper divisors (its aliquot sum) s(n): 405974700485952
- 138131626480320 is an abundant number, because the sum of its proper divisors (405974700485952) is greater than itself. Its abundance is 267843074005632
Bases of 138131626480320
- Binary: 111110110100001010001101000011101010010110000002
- Hexadecimal: 0x7DA1468752C0
- Base-36: 1CYOSJYBPC
Squares and roots of 138131626480320
- 138131626480320 squared (1381316264803202) is 19080346234098641431347302400
- 138131626480320 cubed (1381316264803203) is 2635599259123693888465229703530438688768000
-
The
square root of 138131626480320 is 11752941.1842449037 -
The
cube root of 138131626480320 is 51692.9172418883
Scales and comparisons
How big is 138131626480320?- 138,131,626,480,320 seconds is equal to 4,392,158 years, 23 weeks, 3 days, 20 hours, 32 minutes.
-
To count from 1 to 138,131,626,480,320 would take you about ten million, nine hundred eighty thousand, three hundred ninety-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 138131626480320 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131626480320
- 138131626480320 backwards is 023084626131831
- 138131626480320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138131626480320's digits is 48
- More coming soon!
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"Number 138131626480320 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 138131626480320 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/138131626480320/
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The information we have on file for 138131626480320 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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