138177300480
138,177,300,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138177300480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138177300480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138177300480:
211 × 3 × 5 × 107 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 107 × 127 × 331)See below for interesting mathematical facts about the number 138177300480 from the Numbermatics database.
Names of 138177300480
- Cardinal: 138177300480 can be written as One hundred thirty-eight billion, one hundred seventy-seven million, three hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3817730048 × 1011
Factors of 138177300480
Divisors of 138177300480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 127 128 160 192 214 240 254 256 320 321 331 381 384 428 480 508 512 535 635 640 642 662 762 768 856 960 993 1016 1024 1070 1270 1280 1284 1324 1524 1536 1605 1655 1712 1905 1920 1986 2032 2048 2140 2540 2560 2568 2648 3048 3072 3210 3310 3424 3810 3840 3972 4064 4280 4965 5080 5120 5136 5296 6096 6144 6420 6620 6848 7620 7680 7944 8128 8560 9930 10160 10240 10272 10592 12192 12840 13240 13589 13696 15240 15360 15888 16256 17120 19860 20320 20544 21184 24384 25680 26480 27178 27392 30480 30720 31776 32512 34240 35417 39720 40640 40767 41088 42037 42368 48768 51360 52960 54356 54784 60960 63552 65024 67945 68480 70834 79440 81280 81534 82176 84074 84736 97536 102720 105920 106251 108712 109568 121920 126111 127104 130048 135890 136960 141668 158880 162560 163068 164352 168148 169472 177085 195072 203835 205440 210185 211840 212502 217424 219136 243840 252222 254208 260096 271780 273920 283336 317760 325120 326136 328704 336296 338944 354170 390144 407670 410880 420370 423680 425004 434848 487680 504444 508416 531255 543560 547840 566672 630555 635520 650240 652272 657408 672592 677888 708340 780288 815340 821760 840740 847360 850008 869696 975360 1008888 1016832 1062510 1087120 1095680 1133344 1261110 1271040 1300480 1304544 1345184 1416680 1630680 1643520 1681480 1694720 1700016 1739392 1950720 2017776 2033664 2125020 2174240 2266688 2522220 2542080 2609088 2690368 2833360 3261360 3287040 3362960 3389440 3400032 3478784 3901440 4035552 4250040 4348480 4497959 4533376 5044440 5084160 5218176 5380736 5666720 6522720 6725920 6800064 6957568 8071104 8500080 8696960 8995918 9066752 10088880 10168320 10436352 10761472 11333440 13045440 13451840 13493877 13600128 13915136 16142208 17000160 17393920 17991836 18133504 20177760 20872704 21522944 22489795 22666880 26090880 26903680 26987754 27200256 27830272 32284416 34000320 34787840 35983672 36267008 40355520 41745408 43045888 44979590 45333760 52181760 53807360 53975508 54400512 64568832 67469385 68000640 69575680 71967344 72534016 80711040 83490816 86091776 89959180 90667520 104363520 107614720 107951016 108801024 129137664 134938770 136001280 139151360 143934688 161422080 179918360 181335040 208727040 215229440 215902032 217602048 258275328 269877540 272002560 287869376 322844160 359836720 362670080 417454080 430458880 431804064 539755080 544005120 575738752 645688320 719673440 863608128 1079510160 1088010240 1151477504 1291376640 1439346880 1727216256 2159020320 2302955008 2878693760 3454432512 4318040640 4605910016 5757387520 6908865024 8636081280 9211820032 11514775040 13817730048 17272162560 23029550080 27635460096 34544325120 46059100160 69088650240 138177300480
- Sum of all divisors σ(n): 451062743040
- Sum of proper divisors (its aliquot sum) s(n): 312885442560
- 138177300480 is an abundant number, because the sum of its proper divisors (312885442560) is greater than itself. Its abundance is 174708142080
Bases of 138177300480
- Binary: 100000001011000000001001001000000000002
- Hexadecimal: 0x202C024800
- Base-36: 1RH773EO
Squares and roots of 138177300480
- 138177300480 squared (1381773004802) is 19092966367940208230400
- 138177300480 cubed (1381773004803) is 2638214550877408391325749870592000
-
The
square root of 138177300480 is 371722.0742436477 -
The
cube root of 138177300480 is 5169.8614132035
Scales and comparisons
How big is 138177300480?- 138,177,300,480 seconds is equal to 4,393 years, 31 weeks, 5 days, 7 hours, 28 minutes.
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To count from 1 to 138,177,300,480 would take you about eight thousand, seven hundred eighty-seven 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 138177300480 cubic inches would be around 430.8 feet tall.
Recreational maths with 138177300480
- 138177300480 backwards is 084003771831
- The number of decimal digits it has is: 12
- The sum of 138177300480's digits is 42
- More coming soon!
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The information we have on file for 138177300480 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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