13680612374400
13,680,612,374,400 is an even composite number composed of four prime numbers multiplied together.
13680612374400 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 13680612374400:
27 × 33 × 52 × 5413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 541 × 541 × 541)See below for interesting mathematical facts about the number 13680612374400 from the Numbermatics database.
Names of 13680612374400
- Cardinal: 13680612374400 can be written as Thirteen trillion, six hundred eighty billion, six hundred twelve million, three hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.36806123744 × 1013
Factors of 13680612374400
Divisors of 13680612374400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 384 400 432 450 480 540 541 576 600 640 675 720 800 864 900 960 1080 1082 1152 1200 1350 1440 1600 1623 1728 1800 1920 2160 2164 2400 2700 2705 2880 3200 3246 3456 3600 4320 4328 4800 4869 5400 5410 5760 6492 7200 8115 8640 8656 9600 9738 10800 10820 12984 13525 14400 14607 16230 17280 17312 19476 21600 21640 24345 25968 27050 28800 29214 32460 34624 38952 40575 43200 43280 48690 51936 54100 58428 64920 69248 73035 77904 81150 86400 86560 97380 103872 108200 116856 121725 129840 146070 155808 162300 173120 194760 207744 216400 233712 243450 259680 292140 292681 311616 324600 346240 365175 389520 432800 467424 486900 519360 584280 585362 623232 649200 730350 779040 865600 878043 934848 973800 1038720 1168560 1170724 1298400 1460700 1463405 1558080 1731200 1756086 1869696 1947600 2337120 2341448 2596800 2634129 2921400 2926810 3116160 3512172 3895200 4390215 4674240 4682896 5193600 5268258 5842800 5853620 7024344 7317025 7790400 7902387 8780430 9348480 9365792 10536516 11685600 11707240 13170645 14048688 14634050 15580800 15804774 17560860 18731584 21073032 21951075 23371200 23414480 26341290 28097376 29268100 31609548 35121720 37463168 39511935 42146064 43902150 46742400 46828960 52682580 56194752 58536200 63219096 65853225 70243440 79023870 84292128 87804300 93657920 105365160 112389504 117072400 126438192 131706450 140486880 158047740 158340421 168584256 175608600 187315840 197559675 210730320 234144800 252876384 263412900 280973760 316095480 316680842 337168512 351217200 395119350 421460640 468289600 475021263 505752768 526825800 561947520 632190960 633361684 702434400 790238700 791702105 842921280 936579200 950042526 1011505536 1053651600 1264381920 1266723368 1404868800 1425063789 1580477400 1583404210 1685842560 1900085052 2107303200 2375106315 2528763840 2533446736 2809737600 2850127578 3160954800 3166808420 3800170104 3958510525 4214606400 4275191367 4750212630 5057527680 5066893472 5700255156 6321909600 6333616840 7125318945 7600340208 7917021050 8429212800 8550382734 9500425260 10133786944 11400510312 11875531575 12643819200 12667233680 14250637890 15200680416 15834042100 17100765468 19000850520 20267573888 21375956835 22801020624 23751063150 25287638400 25334467360 28501275780 30401360832 31668084200 34201530936 35626594725 38001701040 42751913670 45602041248 47502126300 50668934720 57002551560 60802721664 63336168400 68403061872 71253189450 76003402080 85503827340 91204082496 95004252600 101337869440 106879784175 114005103120 126672336800 136806123744 142506378900 152006804160 171007654680 182408164992 190008505200 213759568350 228010206240 253344673600 273612247488 285012757800 304013608320 342015309360 380017010400 427519136700 456020412480 506689347200 547224494976 570025515600 684030618720 760034020800 855038273400 912040824960 1140051031200 1368061237440 1520068041600 1710076546800 2280102062400 2736122474880 3420153093600 4560204124800 6840306187200 13680612374400
- Sum of all divisors σ(n): 50159958232800
- Sum of proper divisors (its aliquot sum) s(n): 36479345858400
- 13680612374400 is an abundant number, because the sum of its proper divisors (36479345858400) is greater than itself. Its abundance is 22798733484000
Bases of 13680612374400
- Binary: 110001110001010001000000101001110111100000002
- Hexadecimal: 0xC71440A7780
- Base-36: 4UKSBDUO0
Squares and roots of 13680612374400
- 13680612374400 squared (136806123744002) is 187159154938586405775360000
- 13680612374400 cubed (136806123744003) is 2560451851035072054894009642614784000000
-
The
square root of 13680612374400 is 3698731.1843928317 -
The
cube root of 13680612374400 is 23916.7324891733
Scales and comparisons
How big is 13680612374400?- 13,680,612,374,400 seconds is equal to 435,001 years, 8 weeks, 1 day.
-
To count from 1 to 13,680,612,374,400 would take you about one million, eighty-seven thousand, five hundred two 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 13680612374400 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680612374400
- 13680612374400 backwards is 00447321608631
- 13680612374400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680612374400's digits is 45
- More coming soon!
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