137361434496000
137,361,434,496,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137361434496000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4224 divisors.
137361434496000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 137361434496000:
210 × 3 × 53 × 11 × 13 × 19 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 137361434496000 from the Numbermatics database.
Names of 137361434496000
- Cardinal: 137361434496000 can be written as One hundred thirty-seven trillion, three hundred sixty-one billion, four hundred thirty-four million, four hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.37361434496 × 1014
Factors of 137361434496000
Divisors of 137361434496000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 25 26 30 31 32 33 38 39 40 44 48 50 52 55 57 60 62 64 65 66 75 76 78 80 88 93 95 96 100 104 110 114 120 124 125 128 130 132 137 143 150 152 155 156 160 165 176 186 190 192 195 200 208 209 220 228 240 247 248 250 256 260 264 274 275 285 286 300 304 310 312 320 325 330 341 352 372 375 380 384 390 400 403 411 416 418 429 440 456 465 475 480 494 496 500 512 520 528 548 550 570 572 589 600 608 620 624 627 640 650 660 682 685 704 715 741 744 750 760 768 775 780 800 806 822 825 832 836 858 880 912 930 950 960 961 975 988 992 1000 1023 1024 1040 1045 1056 1096 1100 1140 1144 1178 1200 1209 1216 1235 1240 1248 1254 1280 1300 1320 1364 1370 1375 1408 1425 1430 1482 1488 1500 1507 1520 1536 1550 1560 1600 1612 1625 1644 1650 1664 1672 1705 1716 1760 1767 1781 1824 1860 1900 1920 1922 1950 1976 1984 2000 2015 2046 2055 2080 2090 2112 2145 2192 2200 2280 2288 2325 2356 2375 2400 2418 2432 2470 2480 2496 2508 2560 2600 2603 2640 2717 2728 2740 2750 2816 2850 2860 2883 2945 2964 2976 3000 3014 3040 3072 3100 3120 3135 3200 3224 3250 3288 3300 3328 3344 3410 3425 3432 3520 3534 3562 3575 3648 3705 3720 3800 3840 3844 3875 3900 3952 3968 4000 4030 4092 4110 4125 4160 4180 4224 4247 4290 4384 4400 4433 4521 4560 4576 4650 4712 4750 4800 4805 4836 4864 4875 4940 4960 4992 5016 5115 5120 5200 5206 5225 5280 5343 5434 5456 5480 5500 5632 5700 5720 5766 5890 5928 5952 6000 6028 6045 6080 6175 6200 6240 6270 6400 6448 6479 6500 6576 6600 6656 6688 6820 6850 6864 7040 7068 7124 7125 7150 7296 7410 7440 7535 7600 7657 7680 7688 7750 7800 7809 7904 7936 8000 8060 8151 8184 8220 8250 8320 8360 8448 8494 8525 8580 8768 8800 8835 8866 8905 9042 9120 9152 9300 9424 9500 9600 9610 9672 9728 9750 9880 9920 9984 10032 10075 10230 10275 10400 10412 10450 10560 10571 10686 10725 10868 10912 10960 11000 11264 11400 11440 11532 11625 11780 11856 11904 12000 12056 12090 12160 12350 12400 12480 12493 12540 12741 12800 12896 12958 13000 13015 13152 13200 13299 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416246771200 422650567680 429254482800 440261008000 443101401600 451846824000 457871448320 480284736000 481969945600 499496125440 501319104000 520308464000 528313209600 536568103500 549445737984 553876752000 556119168000 572339310400 602462432000 624370156800 657231744000 660391512000 686807172480 704417612800 715424138000 722954918400 738502336000 780462696000 832493542400 858508965600 880522016000 886202803200 903693648000 915742896640 960569472000 1002638208000 1040616928000 1056626419200 1073136207000 1098891475968 1107753504000 1144678620800 1204924864000 1248740313600 1320783024000 1373614344960 1430848276000 1445909836800 1477004672000 1560925392000 1717017931200 1761044032000 1807387296000 1831485793280 2081233856000 2113252838400 2146272414000 2215507008000 2289357241600 2409849728000 2497480627200 2641566048000 2747228689920 2861696552000 3121850784000 3434035862400 3522088064000 3614774592000 4162467712000 4292544828000 4431014016000 4578714483200 5283132096000 5494457379840 5723393104000 6243701568000 6868071724800 7229549184000 8585089656000 9157428966400 10566264192000 11446786208000 12487403136000 13736143449600 17170179312000 22893572416000 27472286899200 34340358624000 45787144832000 68680717248000 137361434496000
- Sum of all divisors σ(n): 588125546910720
- Sum of proper divisors (its aliquot sum) s(n): 450764112414720
- 137361434496000 is an abundant number, because the sum of its proper divisors (450764112414720) is greater than itself. Its abundance is 313402677918720
Bases of 137361434496000
- Binary: 111110011101101111100111000001001001100000000002
- Hexadecimal: 0x7CEDF3824C00
- Base-36: 1COUYZJ56O
Squares and roots of 137361434496000
- 137361434496000 squared (1373614344960002) is 18868163686798898774016000000
- 137361434496000 cubed (1373614344960003) is 2591758030324032793871933490855936000000000
-
The
square root of 137361434496000 is 11720129.4573054951 -
The
cube root of 137361434496000 is 51596.6619558085
Scales and comparisons
How big is 137361434496000?- 137,361,434,496,000 seconds is equal to 4,367,668 years, 37 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 137,361,434,496,000 would take you about ten million, nine hundred nineteen thousand, one hundred seventy-one 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 137361434496000 cubic inches would be around 4299.7 feet tall.
Recreational maths with 137361434496000
- 137361434496000 backwards is 000694434163731
- The number of decimal digits it has is: 15
- The sum of 137361434496000's digits is 51
- More coming soon!
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"Number 137361434496000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 137361434496000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137361434496000/
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The information we have on file for 137361434496000 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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