31424269968000
31,424,269,968,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 31424269968000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4608 divisors.
31424269968000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 31424269968000:
27 × 32 × 53 × 72 × 13 × 31 × 43 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 31 × 43 × 257)See below for interesting mathematical facts about the number 31424269968000 from the Numbermatics database.
Names of 31424269968000
- Cardinal: 31424269968000 can be written as Thirty-one trillion, four hundred twenty-four billion, two hundred sixty-nine million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.1424269968 × 1013
Factors of 31424269968000
Divisors of 31424269968000
- Number of divisors d(n): 4608
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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 31 32 35 36 39 40 42 43 45 48 49 50 52 56 60 62 63 64 65 70 72 75 78 80 84 86 90 91 93 96 98 100 104 105 112 117 120 124 125 126 128 129 130 140 144 147 150 155 156 160 168 172 175 180 182 186 192 195 196 200 208 210 215 217 224 225 234 240 245 248 250 252 257 258 260 273 279 280 288 294 300 301 310 312 315 320 325 336 344 350 360 364 372 375 384 387 390 392 400 403 416 420 430 434 441 448 450 455 465 468 480 490 496 500 504 514 516 520 525 546 558 559 560 576 585 588 600 602 620 624 630 637 640 645 650 651 672 688 700 720 728 735 744 750 771 774 775 780 784 800 806 819 832 840 860 868 875 882 896 900 903 910 930 936 960 975 980 992 1000 1008 1028 1032 1040 1050 1075 1085 1092 1116 1118 1120 1125 1152 1170 1176 1200 1204 1209 1225 1240 1248 1260 1274 1285 1290 1300 1302 1333 1344 1365 1376 1395 1400 1440 1456 1470 1488 1500 1505 1519 1542 1548 1550 1560 1568 1575 1600 1612 1625 1638 1664 1677 1680 1720 1736 1750 1764 1799 1800 1806 1820 1860 1872 1911 1920 1935 1950 1953 1960 1984 2000 2015 2016 2056 2064 2080 2100 2107 2150 2170 2184 2205 2232 2236 2240 2250 2275 2313 2325 2340 2352 2400 2408 2418 2450 2480 2496 2520 2548 2570 2580 2600 2604 2625 2666 2688 2709 2730 2752 2790 2795 2800 2821 2880 2912 2925 2940 2976 3000 3010 3038 3084 3096 3100 3120 3136 3150 3185 3200 3224 3225 3250 3255 3276 3341 3354 3360 3440 3472 3500 3528 3598 3600 3612 3627 3640 3675 3720 3744 3822 3855 3870 3875 3900 3906 3913 3920 3968 3999 4000 4030 4032 4095 4112 4128 4160 4200 4214 4300 4340 4368 4410 4464 4472 4480 4500 4515 4550 4557 4626 4650 4680 4704 4800 4816 4836 4875 4900 4960 4992 5031 5040 5096 5140 5160 5200 5208 5250 5332 5375 5397 5418 5425 5460 5504 5580 5590 5600 5642 5733 5760 5824 5850 5880 5952 6000 6020 6045 6076 6125 6168 6192 6200 6240 6272 6300 6321 6370 6425 6448 6450 6500 6510 6552 6665 6682 6708 6720 6825 6880 6944 6975 7000 7056 7196 7200 7224 7254 7280 7350 7440 7488 7525 7595 7644 7710 7740 7750 7800 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168947688000 172660824000 174579277600 179567256960 182699244000 187049226000 196401687300 201437628000 202737225600 209495133120 213770544000 218224097000 224459071200 241725153600 243598992000 245502109125 249398968000 251394159744 253421532000 261868916400 268583504000 280573839000 299278761600 302156442000 314242699680 320655816000 327336145500 337895376000 345321648000 349158555200 365398488000 374098452000 392803374600 402875256000 418990266240 436448194000 448918142400 483450307200 491004218250 498797936000 506843064000 523737832800 561147678000 604312884000 628485399360 641311632000 654672291000 698317110400 730796976000 748196904000 785606749200 805750512000 872896388000 897836284800 982008436500 1013686128000 1047475665600 1122295356000 1208625768000 1256970798720 1309344582000 1496393808000 1571213498400 1745792776000 1964016873000 2094951331200 2244590712000 2417251536000 2618689164000 3142426996800 3491585552000 3928033746000 4489181424000 5237378328000 6284853993600 7856067492000 10474756656000 15712134984000 31424269968000
- Sum of all divisors σ(n): 149910959278080
- Sum of proper divisors (its aliquot sum) s(n): 118486689310080
- 31424269968000 is an abundant number, because the sum of its proper divisors (118486689310080) is greater than itself. Its abundance is 87062419342080
Bases of 31424269968000
- Binary: 1110010010100100010000111001011100010100000002
- Hexadecimal: 0x1C948872E280
- Base-36: B503YZKW0
Squares and roots of 31424269968000
- 31424269968000 squared (314242699680002) is 987484743021746721024000000
- 31424269968000 cubed (314242699680003) is 31030987153996473056376957407232000000000
-
The
square root of 31424269968000 is 5605735.4529089223 -
The
cube root of 31424269968000 is 31556.4687842637
Scales and comparisons
How big is 31424269968000?- 31,424,269,968,000 seconds is equal to 999,194 years, 30 weeks, 2 days, 8 hours.
-
To count from 1 to 31,424,269,968,000 would take you about two million, four hundred ninety-seven thousand, nine hundred eighty-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 31424269968000 cubic inches would be around 2629.7 feet tall.
Recreational maths with 31424269968000
- 31424269968000 backwards is 00086996242413
- The number of decimal digits it has is: 14
- The sum of 31424269968000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 31424269968000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 31424269968000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/31424269968000/
Chicago style:
Numbermatics. 2024. "Number 31424269968000 - Facts about the integer". https://numbermatics.com/n/31424269968000/
The information we have on file for 31424269968000 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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