137378900736000
137,378,900,736,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137378900736000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 6912 divisors.
137378900736000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 137378900736000:
211 × 32 × 53 × 7 × 112 × 17 × 41 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 17 × 41 × 101)See below for interesting mathematical facts about the number 137378900736000 from the Numbermatics database.
Names of 137378900736000
- Cardinal: 137378900736000 can be written as One hundred thirty-seven trillion, three hundred seventy-eight billion, nine hundred million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.37378900736 × 1014
Factors of 137378900736000
Divisors of 137378900736000
- Number of divisors d(n): 6912
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 25 28 30 32 33 34 35 36 40 41 42 44 45 48 50 51 55 56 60 63 64 66 68 70 72 75 77 80 82 84 85 88 90 96 99 100 101 102 105 110 112 119 120 121 123 125 126 128 132 136 140 144 150 153 154 160 164 165 168 170 175 176 180 187 192 198 200 202 204 205 210 220 224 225 231 238 240 242 246 250 252 255 256 264 272 275 280 287 288 300 303 306 308 315 320 328 330 336 340 350 352 357 360 363 369 374 375 384 385 396 400 404 408 410 420 425 440 448 450 451 462 476 480 484 492 495 500 504 505 510 512 525 528 544 550 560 561 574 576 595 600 605 606 612 615 616 630 640 656 660 672 680 693 697 700 704 707 714 720 726 738 748 750 765 768 770 792 800 808 816 820 825 840 847 850 861 875 880 896 900 902 909 924 935 952 960 968 984 990 1000 1008 1010 1020 1024 1025 1050 1056 1071 1088 1089 1100 1111 1120 1122 1125 1148 1152 1155 1190 1200 1210 1212 1224 1230 1232 1260 1275 1280 1309 1312 1320 1344 1353 1360 1375 1386 1394 1400 1408 1414 1428 1435 1440 1452 1476 1496 1500 1515 1530 1536 1540 1575 1584 1600 1616 1632 1640 1650 1680 1683 1694 1700 1717 1722 1750 1760 1785 1792 1800 1804 1815 1818 1845 1848 1870 1904 1920 1925 1936 1968 1980 2000 2016 2020 2040 2048 2050 2057 2091 2100 2112 2121 2125 2142 2176 2178 2200 2222 2240 2244 2250 2255 2296 2304 2310 2380 2400 2420 2424 2448 2460 2464 2475 2520 2525 2541 2550 2560 2583 2618 2624 2625 2640 2688 2706 2720 2750 2772 2788 2800 2805 2816 2828 2856 2870 2880 2904 2952 2975 2992 3000 3025 3030 3060 3072 3075 3080 3150 3157 3168 3200 3232 3264 3280 3300 3333 3360 3366 3388 3400 3434 3444 3465 3485 3500 3520 3535 3570 3584 3600 3608 3630 3636 3690 3696 3740 3808 3825 3840 3850 3872 3927 3936 3960 4000 4032 4040 4059 4080 4100 4114 4125 4141 4182 4200 4224 4235 4242 4250 4284 4305 4352 4356 4400 4444 4480 4488 4500 4510 4545 4592 4608 4620 4675 4760 4800 4840 4848 4879 4896 4920 4928 4950 4961 5040 5050 5082 5100 5120 5125 5151 5166 5236 5248 5250 5280 5355 5376 5412 5440 5445 5500 5544 5555 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6541852416000 6868945036800 7632161152000 8081111808000 8586181296000 9158593382400 9812778624000 11448241728000 12488990976000 13737890073600 15264322304000 17172362592000 19625557248000 22896483456000 27475780147200 34344725184000 45792966912000 68689450368000 137378900736000
- Sum of all divisors σ(n): 681373834202880
- Sum of proper divisors (its aliquot sum) s(n): 543994933466880
- 137378900736000 is an abundant number, because the sum of its proper divisors (543994933466880) is greater than itself. Its abundance is 406616032730880
Bases of 137378900736000
- Binary: 111110011110010000001001001001111111000000000002
- Hexadecimal: 0x7CF20493F800
- Base-36: 1CP2ZUHA80
Squares and roots of 137378900736000
- 137378900736000 squared (1373789007360002) is 18872962367431741341696000000
- 137378900736000 cubed (1373789007360003) is 2592746823669668753036482241888256000000000
-
The
square root of 137378900736000 is 11720874.5721469097 -
The
cube root of 137378900736000 is 51598.8487934981
Scales and comparisons
How big is 137378900736000?- 137,378,900,736,000 seconds is equal to 4,368,224 years, 5 weeks, 2 days, 8 hours.
-
To count from 1 to 137,378,900,736,000 would take you about ten million, nine hundred twenty thousand, five hundred sixty 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 137378900736000 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137378900736000
- 137378900736000 backwards is 000637009873731
- The number of decimal digits it has is: 15
- The sum of 137378900736000's digits is 54
- More coming soon!
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The information we have on file for 137378900736000 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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