137228822016000000
137,228,822,016,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137228822016000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 8064 divisors.
137228822016000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight thousand and sixty-four divisors.
Prime factorization of 137228822016000000:
215 × 3 × 56 × 112 × 132 × 17 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 17 × 257)See below for interesting mathematical facts about the number 137228822016000000 from the Numbermatics database.
Names of 137228822016000000
- Cardinal: 137228822016000000 can be written as One hundred thirty-seven quadrillion, two hundred twenty-eight trillion, eight hundred twenty-two billion, sixteen million.
Scientific notation
- Scientific notation: 1.37228822016 × 1017
Factors of 137228822016000000
Divisors of 137228822016000000
- Number of divisors d(n): 8064
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 121 125 128 130 132 136 143 150 156 160 165 169 170 176 187 192 195 200 204 208 220 221 240 242 250 255 256 257 260 264 272 275 286 300 312 320 325 330 338 340 352 363 374 375 384 390 400 408 416 425 429 440 442 480 484 500 507 510 512 514 520 528 544 550 561 572 600 605 624 625 640 650 660 663 676 680 704 715 726 748 750 768 771 780 800 816 825 832 845 850 858 880 884 935 960 968 975 1000 1014 1020 1024 1028 1040 1056 1088 1100 1105 1122 1144 1200 1210 1248 1250 1275 1280 1285 1300 1320 1326 1352 1360 1375 1408 1430 1452 1496 1500 1536 1542 1560 1573 1600 1625 1632 1650 1664 1690 1700 1716 1760 1768 1815 1859 1870 1875 1920 1936 1950 2000 2028 2040 2048 2056 2057 2080 2112 2125 2145 2176 2200 2210 2244 2288 2400 2420 2431 2496 2500 2535 2550 2560 2570 2600 2640 2652 2704 2720 2750 2805 2816 2827 2860 2873 2904 2992 3000 3025 3072 3084 3120 3125 3146 3200 3250 3264 3300 3315 3328 3341 3380 3400 3432 3520 3536 3575 3630 3718 3740 3750 3840 3855 3872 3900 4000 4056 4080 4096 4112 4114 4125 4160 4224 4225 4250 4290 4352 4369 4400 4420 4488 4576 4675 4719 4800 4840 4862 4875 4992 5000 5070 5100 5120 5140 5200 5280 5304 5408 5440 5500 5525 5577 5610 5632 5654 5720 5746 5808 5984 6000 6050 6144 6168 6171 6240 6250 6292 6375 6400 6425 6500 6528 6600 6630 6656 6682 6760 6800 6864 6875 7040 7072 7150 7260 7293 7436 7480 7500 7680 7710 7744 7800 7865 8000 8112 8125 8160 8192 8224 8228 8250 8320 8448 8450 8481 8500 8580 8619 8704 8738 8800 8840 8976 9075 9152 9295 9350 9375 9438 9600 9680 9724 9750 9984 10000 10023 10140 10200 10240 10280 10285 10400 10560 10608 10625 10725 10816 10880 11000 11050 11154 11220 11264 11308 11440 11492 11616 11968 12000 12100 12155 12288 12336 12342 12480 12500 12584 12675 12750 12800 12850 13000 13056 13107 13200 13260 13312 13364 13520 13600 13728 13750 14025 14080 14135 14144 14300 14365 14520 14586 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4158449152000000 4288400688000000 4574294067200000 5278031616000000 5489152880640000 5717867584000000 6237673728000000 6861441100800000 8072283648000000 8576801376000000 9148588134400000 10556063232000000 11435735168000000 12475347456000000 13722882201600000 17153602752000000 22871470336000000 27445764403200000 34307205504000000 45742940672000000 68614411008000000 137228822016000000
- Sum of all divisors σ(n): 578698979984803440
- Sum of proper divisors (its aliquot sum) s(n): 441470157968803440
- 137228822016000000 is an abundant number, because the sum of its proper divisors (441470157968803440) is greater than itself. Its abundance is 304241335952803440
Bases of 137228822016000000
- Binary: 1111001111000100011100010111101010011010110000000000000002
- Hexadecimal: 0x1E788E2F5358000
- Base-36: 11J7K2J150QO
Squares and roots of 137228822016000000
- 137228822016000000 squared (1372288220160000002) is 18831749591899006304256000000000000
- 137228822016000000 cubed (1372288220160000003) is 2584258812996589371574008567300096000000000000000000
-
The
square root of 137228822016000000 is 370444087.5705806159 -
The
cube root of 137228822016000000 is 515800.5233404015
Scales and comparisons
How big is 137228822016000000?- 137,228,822,016,000,000 seconds is equal to 4,363,452,063 years, 25 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 137,228,822,016,000,000 would take you about thirteen billion, ninety million, three hundred fifty-six thousand, one hundred ninety 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 137228822016000000 cubic inches would be around 42983.4 feet tall.
Recreational maths with 137228822016000000
- 137228822016000000 backwards is 000000610228822731
- The number of decimal digits it has is: 18
- The sum of 137228822016000000's digits is 42
- More coming soon!
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"Number 137228822016000000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137228822016000000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137228822016000000/
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The information we have on file for 137228822016000000 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!
Keywords: Divisors of 137228822016000000, math, Factors of 137228822016000000, curriculum, school, college, exams, university, Prime factorization of 137228822016000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, two hundred twenty-eight trillion, eight hundred twenty-two billion, sixteen million.