137689004800
137,689,004,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 137689004800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
137689004800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 137689004800:
28 × 52 × 312 × 61 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 61 × 367)See below for interesting mathematical facts about the number 137689004800 from the Numbermatics database.
Names of 137689004800
- Cardinal: 137689004800 can be written as One hundred thirty-seven billion, six hundred eighty-nine million, four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.376890048 × 1011
Factors of 137689004800
Divisors of 137689004800
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 64 80 100 122 124 128 155 160 200 244 248 256 305 310 320 367 400 488 496 610 620 640 734 775 800 961 976 992 1220 1240 1280 1468 1525 1550 1600 1835 1891 1922 1952 1984 2440 2480 2936 3050 3100 3200 3670 3782 3844 3904 3968 4805 4880 4960 5872 6100 6200 6400 7340 7564 7688 7808 7936 9175 9455 9610 9760 9920 11377 11744 12200 12400 14680 15128 15376 15616 18350 18910 19220 19520 19840 22387 22754 23488 24025 24400 24800 29360 30256 30752 36700 37820 38440 39040 39680 44774 45508 46976 47275 48050 48800 49600 56885 58621 58720 60512 61504 73400 75640 76880 78080 89548 91016 93952 94550 96100 97600 99200 111935 113770 117242 117440 121024 123008 146800 151280 153760 179096 182032 189100 192200 195200 198400 223870 227540 234484 234880 242048 246016 284425 293105 293600 302560 307520 352687 358192 364064 378200 384400 390400 447740 455080 468968 469760 484096 559675 568850 586210 587200 605120 615040 693997 705374 716384 728128 756400 768800 895480 910160 937936 1119350 1137700 1172420 1174400 1210240 1230080 1387994 1410748 1432768 1456256 1465525 1512800 1537600 1763435 1790960 1820320 1875872 2238700 2275400 2344840 2348800 2420480 2775988 2821496 2865536 2912512 2931050 3025600 3075200 3469985 3526870 3581920 3640640 3751744 4477400 4550800 4689680 5551976 5642992 5731072 5862100 6051200 6150400 6939970 7053740 7163840 7281280 7503488 8817175 8954800 9101600 9379360 11103952 11285984 11724200 12102400 13879940 14107480 14327680 14562560 15006976 17349925 17634350 17909600 18203200 18758720 21513907 22207904 22571968 23448400 27759880 28214960 28655360 34699850 35268700 35819200 36406400 37517440 43027814 44415808 45143936 46896800 55519760 56429920 69399700 70537400 71638400 72812800 75034880 86055628 88831616 90287872 93793600 107569535 111039520 112859840 138799400 141074800 143276800 172111256 177663232 187587200 215139070 222079040 225719680 277598800 282149600 344222512 375174400 430278140 444158080 451439360 537847675 555197600 564299200 688445024 860556280 888316160 1075695350 1110395200 1128598400 1376890048 1721112560 2151390700 2220790400 2257196800 2753780096 3442225120 4302781400 4441580800 5507560192 6884450240 8605562800 13768900480 17211125600 27537800960 34422251200 68844502400 137689004800
- Sum of all divisors σ(n): 358898258208
- Sum of proper divisors (its aliquot sum) s(n): 221209253408
- 137689004800 is an abundant number, because the sum of its proper divisors (221209253408) is greater than itself. Its abundance is 83520248608
Bases of 137689004800
- Binary: 100000000011101110011101111011000000002
- Hexadecimal: 0x200EE77B00
- Base-36: 1R94H81S
Squares and roots of 137689004800
- 137689004800 squared (1376890048002) is 18958262042814423040000
- 137689004800 cubed (1376890048003) is 2610344233412732899463790592000000
-
The
square root of 137689004800 is 371064.6908559207 -
The
cube root of 137689004800 is 5163.7644144785
Scales and comparisons
How big is 137689004800?- 137,689,004,800 seconds is equal to 4,378 years, 4 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 137,689,004,800 would take you about eight thousand, seven 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 137689004800 cubic inches would be around 430.3 feet tall.
Recreational maths with 137689004800
- 137689004800 backwards is 008400986731
- The number of decimal digits it has is: 12
- The sum of 137689004800's digits is 46
- More coming soon!
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