138471796736000
138,471,796,736,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138471796736000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138471796736000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138471796736000:
215 × 53 × 7 × 132 × 17 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 41 × 41)See below for interesting mathematical facts about the number 138471796736000 from the Numbermatics database.
Names of 138471796736000
- Cardinal: 138471796736000 can be written as One hundred thirty-eight trillion, four hundred seventy-one billion, seven hundred ninety-six million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38471796736 × 1014
Factors of 138471796736000
Divisors of 138471796736000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 41 50 52 56 64 65 68 70 80 82 85 91 100 104 112 119 125 128 130 136 140 160 164 169 170 175 182 200 205 208 221 224 238 250 256 260 272 280 287 320 325 328 338 340 350 364 400 410 416 425 442 448 455 476 500 512 520 533 544 560 574 595 640 650 656 676 680 697 700 728 800 820 832 845 850 875 884 896 910 952 1000 1024 1025 1040 1066 1088 1105 1120 1148 1183 1190 1280 1300 1312 1352 1360 1394 1400 1435 1456 1547 1600 1625 1640 1664 1681 1690 1700 1750 1768 1792 1820 1904 2000 2048 2050 2080 2125 2132 2176 2210 2240 2275 2296 2366 2380 2560 2600 2624 2665 2704 2720 2788 2800 2870 2873 2912 2975 3094 3200 3250 3280 3328 3362 3380 3400 3485 3500 3536 3584 3640 3731 3808 4000 4096 4100 4160 4225 4250 4264 4352 4420 4480 4550 4592 4732 4760 4879 5120 5125 5200 5248 5330 5408 5440 5525 5576 5600 5740 5746 5824 5915 5950 6188 6400 6500 6560 6656 6724 6760 6800 6929 6970 7000 7072 7168 7175 7280 7462 7616 7735 8000 8192 8200 8320 8405 8450 8500 8528 8704 8840 8960 9061 9100 9184 9464 9520 9758 10240 10250 10400 10496 10660 10816 10880 11050 11152 11200 11375 11480 11492 11648 11767 11830 11900 12376 12800 13000 13120 13312 13325 13448 13520 13600 13858 13940 14000 14144 14336 14350 14365 14560 14875 14924 15232 15470 16000 16384 16400 16640 16810 16900 17000 17056 17408 17425 17680 17920 18122 18200 18368 18655 18928 19040 19516 20111 20480 20500 20800 20992 21125 21320 21632 21760 21853 22100 22304 22400 22750 22960 22984 23296 23534 23660 23800 24395 24752 25600 26000 26240 26624 26650 26896 27040 27200 27625 27716 27880 28000 28288 28577 28672 28700 28730 29120 29575 29750 29848 30464 30940 32000 32768 32800 33280 33620 33800 34000 34112 34645 34816 34850 35360 35840 35875 36244 36400 36736 37310 37856 38080 38675 39032 40222 40960 41000 41600 41984 42025 42250 42640 43264 43520 43706 44200 44608 44800 45305 45500 45920 45968 46592 47068 47320 47600 48503 48790 49504 51200 52000 52480 53248 53300 53792 54080 54400 55250 55432 55760 56000 56576 57154 57344 57400 57460 58240 58835 59150 59500 59696 60928 61880 63427 64000 65600 66560 66625 67240 67600 68000 68224 69290 69632 69700 70720 71680 71750 71825 72488 72800 73472 74620 75712 76160 77350 78064 80444 81920 82000 83200 83968 84050 84500 85280 86528 87040 87125 87412 88400 89216 89600 90610 91000 91840 91936 93184 93275 94136 94640 95200 97006 97580 99008 100555 102400 104000 104960 106496 106600 107584 108160 108800 109265 110500 110864 111520 112000 113152 114308 114688 114800 114920 116480 117670 117793 118300 119000 119392 121856 121975 123760 126854 128000 131200 133120 133250 134480 135200 136000 136448 138580 139264 139400 141440 142885 143360 143500 143650 144976 145600 146944 147875 149240 151424 152320 152971 154700 156128 160888 163840 164000 166400 167936 168100 169000 170560 173056 173225 174080 174250 174824 176800 178432 179200 181220 182000 183680 183872 186368 186550 188272 189280 190400 193375 194012 195160 198016 200039 201110 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509087488000 532583833600 540905456000 553887186944 581814272000 618177664000 626569216000 665729792000 675472179200 692358983680 760834048000 791267409920 814539980800 819359744000 844340224000 865448729600 989084262400 1018174976000 1065167667200 1081810912000 1107774373888 1163628544000 1236355328000 1331459584000 1384717967360 1521668096000 1629079961600 1688680448000 1730897459200 1978168524800 2036349952000 2130335334400 2163621824000 2472710656000 2662919168000 2769435934720 3377360896000 3461794918400 3956337049600 4072699904000 4327243648000 4945421312000 5325838336000 5538871869440 6923589836800 8145399808000 8654487296000 9890842624000 10651676672000 13847179673600 17308974592000 19781685248000 27694359347200 34617949184000 69235898368000 138471796736000
- Sum of all divisors σ(n): 464191048676160
- Sum of proper divisors (its aliquot sum) s(n): 325719251940160
- 138471796736000 is an abundant number, because the sum of its proper divisors (325719251940160) is greater than itself. Its abundance is 187247455204160
Bases of 138471796736000
- Binary: 111110111110000011110100100000110000000000000002
- Hexadecimal: 0x7DF07A418000
- Base-36: 1D312CJGU8
Squares and roots of 138471796736000
- 138471796736000 squared (1384717967360002) is 19174438491296100253696000000
- 138471796736000 cubed (1384717967360003) is 2655118949293688099519270544736256000000000
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The
square root of 138471796736000 is 11767403.9930649107 -
The
cube root of 138471796736000 is 51735.3163609675
Scales and comparisons
How big is 138471796736000?- 138,471,796,736,000 seconds is equal to 4,402,974 years, 42 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 138,471,796,736,000 would take you about eleven million, seven thousand, four hundred thirty-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 138471796736000 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138471796736000
- 138471796736000 backwards is 000637697174831
- The number of decimal digits it has is: 15
- The sum of 138471796736000's digits is 62
- More coming soon!
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The information we have on file for 138471796736000 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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