137957787968000000
137,957,787,968,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137957787968000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6552 divisors.
137957787968000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, five hundred fifty-two divisors.
Prime factorization of 137957787968000000:
212 × 56 × 7 × 113 × 132 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 13 × 37 × 37)See below for interesting mathematical facts about the number 137957787968000000 from the Numbermatics database.
Names of 137957787968000000
- Cardinal: 137957787968000000 can be written as One hundred thirty-seven quadrillion, nine hundred fifty-seven trillion, seven hundred eighty-seven billion, nine hundred sixty-eight million.
Scientific notation
- Scientific notation: 1.37957787968 × 1017
Factors of 137957787968000000
Divisors of 137957787968000000
- Number of divisors d(n): 6552
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 50 52 55 56 64 65 70 74 77 80 88 91 100 104 110 112 121 125 128 130 140 143 148 154 160 169 175 176 182 185 200 208 220 224 242 250 256 259 260 275 280 286 296 308 320 325 338 350 352 364 370 385 400 407 416 440 448 455 481 484 500 512 518 520 550 560 572 592 605 616 625 640 650 676 700 704 715 728 740 770 800 814 832 845 847 875 880 896 910 925 962 968 1000 1001 1024 1036 1040 1100 1120 1144 1183 1184 1210 1232 1250 1280 1295 1300 1331 1352 1369 1375 1400 1408 1430 1456 1480 1540 1573 1600 1625 1628 1664 1690 1694 1750 1760 1792 1820 1850 1859 1924 1925 1936 2000 2002 2035 2048 2072 2080 2200 2240 2275 2288 2366 2368 2405 2420 2464 2500 2560 2590 2600 2662 2704 2738 2750 2800 2816 2849 2860 2912 2960 3025 3080 3125 3146 3200 3250 3256 3328 3367 3380 3388 3500 3520 3575 3584 3640 3700 3718 3848 3850 3872 4000 4004 4070 4096 4144 4160 4225 4235 4375 4400 4477 4480 4550 4576 4625 4732 4736 4810 4840 4928 5000 5005 5120 5180 5200 5291 5324 5408 5476 5500 5600 5632 5698 5720 5824 5915 5920 6050 6160 6250 6253 6292 6400 6475 6500 6512 6655 6656 6734 6760 6776 6845 6875 7000 7040 7150 7168 7280 7400 7436 7696 7700 7744 7865 8000 8008 8125 8140 8288 8320 8450 8470 8750 8800 8954 8960 9100 9152 9250 9295 9317 9464 9472 9583 9620 9625 9680 9856 10000 10010 10175 10240 10360 10400 10582 10648 10816 10952 11000 11011 11200 11264 11375 11396 11440 11648 11830 11840 12025 12100 12320 12500 12506 12584 12800 12950 13000 13013 13024 13310 13312 13468 13520 13552 13690 13750 14000 14080 14245 14300 14336 14560 14800 14872 15059 15125 15392 15400 15488 15625 15730 16000 16016 16250 16280 16576 16640 16835 16900 16940 17303 17500 17600 17797 17875 17908 17920 18200 18304 18500 18590 18634 18928 18944 19166 19240 19250 19360 19712 20000 20020 20350 20449 20480 20720 20800 21125 21164 21175 21296 21632 21875 21904 22000 22022 22385 22400 22528 22750 22792 22880 23125 23296 23660 23680 24050 24200 24640 25000 25012 25025 25168 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13795778796800000 17244723496000000 19708255424000000 27591557593600000 34489446992000000 68978893984000000 137957787968000000
- Sum of all divisors σ(n): 482433721510571712
- Sum of proper divisors (its aliquot sum) s(n): 344475933542571712
- 137957787968000000 is an abundant number, because the sum of its proper divisors (344475933542571712) is greater than itself. Its abundance is 206518145574571712
Bases of 137957787968000000
- Binary: 1111010100001111111100000100100011101010011010000000000002
- Hexadecimal: 0x1EA1FE091D4D000
- Base-36: 11QDYCV3M7SW
Squares and roots of 137957787968000000
- 137957787968000000 squared (1379577879680000002) is 19032351261023645569024000000000000
- 137957787968000000 cubed (1379577879680000003) is 2625661079800797518045795700703232000000000000000000
-
The
square root of 137957787968000000 is 371426692.5895337425 -
The
cube root of 137957787968000000 is 516712.2297723663
Scales and comparisons
How big is 137957787968000000?- 137,957,787,968,000,000 seconds is equal to 4,386,630,925 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 137,957,787,968,000,000 would take you about thirteen billion, one hundred fifty-nine million, eight hundred ninety-two thousand, seven hundred seventy-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 137957787968000000 cubic inches would be around 43059.4 feet tall.
Recreational maths with 137957787968000000
- 137957787968000000 backwards is 000000869787759731
- 137957787968000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137957787968000000's digits is 77
- More coming soon!
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The information we have on file for 137957787968000000 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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