137948089734000000
137,948,089,734,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137948089734000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6048 divisors.
137948089734000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 137948089734000000:
27 × 32 × 56 × 7 × 132 × 612 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 61 × 61 × 1741)See below for interesting mathematical facts about the number 137948089734000000 from the Numbermatics database.
Names of 137948089734000000
- Cardinal: 137948089734000000 can be written as One hundred thirty-seven quadrillion, nine hundred forty-eight trillion, eighty-nine billion, seven hundred thirty-four million.
Scientific notation
- Scientific notation: 1.37948089734 × 1017
Factors of 137948089734000000
Divisors of 137948089734000000
- Number of divisors d(n): 6048
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 61 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 122 125 126 128 130 140 144 150 156 160 168 169 175 180 182 183 192 195 200 208 210 224 225 234 240 244 250 252 260 273 280 288 300 305 312 315 320 325 336 338 350 360 364 366 375 384 390 400 416 420 427 448 450 455 468 480 488 500 504 507 520 525 546 549 560 576 585 600 610 624 625 630 640 650 672 676 700 720 728 732 750 780 793 800 819 832 840 845 854 875 896 900 910 915 936 960 975 976 1000 1008 1014 1040 1050 1092 1098 1120 1125 1152 1170 1183 1200 1220 1248 1250 1260 1281 1300 1344 1352 1365 1400 1440 1456 1464 1500 1521 1525 1560 1575 1586 1600 1625 1638 1664 1680 1690 1708 1741 1750 1800 1820 1830 1872 1875 1920 1950 1952 2000 2016 2028 2080 2100 2135 2184 2196 2240 2250 2275 2340 2366 2379 2400 2440 2496 2500 2520 2535 2562 2600 2625 2688 2704 2730 2745 2800 2880 2912 2925 2928 3000 3042 3050 3120 3125 3150 3172 3200 3250 3276 3360 3380 3416 3482 3500 3549 3600 3640 3660 3721 3744 3750 3843 3900 3904 3965 4000 4032 4056 4095 4160 4200 4225 4270 4368 4375 4392 4480 4500 4550 4575 4680 4732 4758 4800 4875 4880 4992 5000 5040 5070 5124 5200 5223 5250 5408 5460 5490 5551 5600 5625 5760 5824 5850 5856 5915 6000 6084 6100 6240 6250 6300 6344 6405 6500 6552 6720 6760 6825 6832 6964 7000 7098 7137 7200 7280 7320 7442 7488 7500 7605 7625 7686 7800 7808 7875 7930 8000 8064 8112 8125 8190 8320 8400 8450 8540 8705 8736 8750 8784 9000 9100 9150 9360 9375 9464 9516 9600 9750 9760 10000 10080 10140 10248 10309 10400 10446 10500 10647 10675 10816 10920 10980 11102 11163 11200 11250 11375 11648 11700 11712 11830 11895 12000 12168 12187 12200 12480 12500 12600 12675 12688 12810 13000 13104 13125 13440 13520 13650 13664 13725 13928 14000 14196 14274 14400 14560 14625 14640 14884 14976 15000 15210 15250 15372 15600 15625 15669 15750 15860 16000 16224 16250 16380 16653 16800 16900 17080 17410 17472 17500 17568 17745 18000 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- Sum of all divisors σ(n): 624645450837448560
- Sum of proper divisors (its aliquot sum) s(n): 486697361103448560
- 137948089734000000 is an abundant number, because the sum of its proper divisors (486697361103448560) is greater than itself. Its abundance is 348749271369448560
Bases of 137948089734000000
- Binary: 1111010100001011100001110100001100000100111101101100000002
- Hexadecimal: 0x1EA170E8609ED80
- Base-36: 11QAILK1HSW0
Squares and roots of 137948089734000000
- 137948089734000000 squared (1379480897340000002) is 19029675461259716190756000000000000
- 137948089734000000 cubed (1379480897340000003) is 2625107378138753169761781349298904000000000000000000
-
The
square root of 137948089734000000 is 371413636.9790425455 -
The
cube root of 137948089734000000 is 516700.1214465273
Scales and comparisons
How big is 137948089734000000?- 137,948,089,734,000,000 seconds is equal to 4,386,322,552 years, 4 weeks, 2 days, 8 hours.
-
To count from 1 to 137,948,089,734,000,000 would take you about thirteen billion, one hundred fifty-eight million, nine hundred sixty-seven thousand, six hundred fifty-six 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 137948089734000000 cubic inches would be around 43058.3 feet tall.
Recreational maths with 137948089734000000
- 137948089734000000 backwards is 000000437980849731
- 137948089734000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137948089734000000's digits is 63
- More coming soon!
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The information we have on file for 137948089734000000 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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