31680713984000
31,680,713,984,000 is an even composite number composed of four prime numbers multiplied together.
31680713984000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 31680713984000:
211 × 53 × 793 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 79 × 79 × 79 × 251)See below for interesting mathematical facts about the number 31680713984000 from the Numbermatics database.
Names of 31680713984000
- Cardinal: 31680713984000 can be written as Thirty-one trillion, six hundred eighty billion, seven hundred thirteen million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.1680713984 × 1013
Factors of 31680713984000
Divisors of 31680713984000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 128 158 160 200 250 251 256 316 320 395 400 500 502 512 632 640 790 800 1000 1004 1024 1255 1264 1280 1580 1600 1975 2000 2008 2048 2510 2528 2560 3160 3200 3950 4000 4016 5020 5056 5120 6241 6275 6320 6400 7900 8000 8032 9875 10040 10112 10240 12482 12550 12640 12800 15800 16000 16064 19750 19829 20080 20224 24964 25100 25280 25600 31205 31375 31600 32000 32128 39500 39658 40160 40448 49928 50200 50560 51200 62410 62750 63200 64000 64256 79000 79316 80320 80896 99145 99856 100400 101120 124820 125500 126400 128000 128512 156025 158000 158632 160640 161792 198290 199712 200800 202240 249640 251000 252800 256000 257024 312050 316000 317264 321280 396580 399424 401600 404480 493039 495725 499280 502000 505600 514048 624100 632000 634528 642560 780125 793160 798848 803200 808960 986078 991450 998560 1004000 1011200 1248200 1264000 1269056 1285120 1560250 1566491 1586320 1597696 1606400 1972156 1982900 1997120 2008000 2022400 2465195 2478625 2496400 2528000 2538112 2570240 3120500 3132982 3172640 3195392 3212800 3944312 3965800 3994240 4016000 4044800 4930390 4957250 4992800 5056000 5076224 6241000 6265964 6345280 6390784 6425600 7832455 7888624 7931600 7988480 8032000 9860780 9914500 9985600 10112000 10152448 12325975 12482000 12531928 12690560 12781568 12851200 15664910 15777248 15863200 15976960 16064000 19721560 19829000 19971200 20224000 20304896 24651950 24964000 25063856 25381120 31329820 31554496 31726400 31953920 32128000 39162275 39443120 39658000 39942400 40609792 49303900 49928000 50127712 50762240 61629875 62659640 63108992 63452800 63907840 64256000 78324550 78886240 79316000 79884800 98607800 99856000 100255424 101524480 123259750 123752789 125319280 126217984 126905600 156649100 157772480 158632000 159769600 195811375 197215600 199712000 200510848 203048960 246519500 247505578 250638560 252435968 253811200 313298200 315544960 317264000 319539200 391622750 394431200 399424000 401021696 493039000 495011156 501277120 504871936 507622400 618763945 626596400 631089920 634528000 783245500 788862400 798848000 802043392 986078000 990022312 1002554240 1009743872 1015244800 1237527890 1253192800 1262179840 1269056000 1566491000 1577724800 1597696000 1604086784 1972156000 1980044624 2005108480 2475055780 2506385600 2524359680 2538112000 3093819725 3132982000 3155449600 3208173568 3944312000 3960089248 4010216960 4950111560 5012771200 5048719360 5076224000 6187639450 6265964000 6310899200 7888624000 7920178496 8020433920 9900223120 10025542400 12375278900 12531928000 12621798400 15469098625 15777248000 15840356992 16040867840 19800446240 20051084800 24750557800 25063856000 25243596800 30938197250 31554496000 31680713984 39600892480 40102169600 49501115600 50127712000 61876394500 63108992000 63361427968 79201784960 80204339200 99002231200 100255424000 123752789000 126217984000 126722855936 158403569920 198004462400 200510848000 247505578000 253445711872 316807139840 396008924800 401021696000 495011156000 633614279680 792017849600 990022312000 1267228559360 1584035699200 1980044624000 3168071398400 3960089248000 6336142796800 7920178496000 15840356992000 31680713984000
- Sum of all divisors σ(n): 80388291110400
- Sum of proper divisors (its aliquot sum) s(n): 48707577126400
- 31680713984000 is an abundant number, because the sum of its proper divisors (48707577126400) is greater than itself. Its abundance is 17026863142400
Bases of 31680713984000
- Binary: 1110011010000001111011011010000001000000000002
- Hexadecimal: 0x1CD03DB40800
- Base-36: B89X34U0W
Squares and roots of 31680713984000
- 31680713984000 squared (316807139840002) is 1003667638536013152256000000
- 31680713984000 cubed (316807139840003) is 31796907391456129160284580347904000000000
-
The
square root of 31680713984000 is 5628562.3372225345 -
The
cube root of 31680713984000 is 31642.0772800631
Scales and comparisons
How big is 31680713984000?- 31,680,713,984,000 seconds is equal to 1,007,348 years, 36 weeks, 6 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 31,680,713,984,000 would take you about two million, five hundred eighteen thousand, three 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 31680713984000 cubic inches would be around 2636.8 feet tall.
Recreational maths with 31680713984000
- 31680713984000 backwards is 00048931708613
- 31680713984000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31680713984000's digits is 50
- More coming soon!
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