138044513600
138,044,513,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138044513600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
138044513600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138044513600:
26 × 52 × 7 × 37 × 179 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 37 × 179 × 1861)See below for interesting mathematical facts about the number 138044513600 from the Numbermatics database.
Names of 138044513600
- Cardinal: 138044513600 can be written as One hundred thirty-eight billion, forty-four million, five hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.380445136 × 1011
Factors of 138044513600
Divisors of 138044513600
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 112 140 148 160 175 179 185 200 224 259 280 296 320 350 358 370 400 448 518 560 592 700 716 740 800 895 925 1036 1120 1184 1253 1295 1400 1432 1480 1600 1790 1850 1861 2072 2240 2368 2506 2590 2800 2864 2960 3580 3700 3722 4144 4475 5012 5180 5600 5728 5920 6265 6475 6623 7160 7400 7444 8288 8950 9305 10024 10360 11200 11456 11840 12530 12950 13027 13246 14320 14800 14888 16576 17900 18610 20048 20720 25060 25900 26054 26492 28640 29600 29776 31325 33115 35800 37220 40096 41440 46361 46525 50120 51800 52108 52984 57280 59200 59552 62650 65135 66230 68857 71600 74440 80192 82880 92722 93050 100240 103600 104216 105968 119104 125300 130270 132460 137714 143200 148880 165575 185444 186100 200480 207200 208432 211936 231805 250600 260540 264920 275428 286400 297760 325675 331150 333119 344285 370888 372200 400960 414400 416864 423872 463610 481999 501200 521080 529840 550856 595520 651350 662300 666238 688570 741776 744400 833728 927220 963998 1002400 1042160 1059680 1101712 1159025 1302700 1324600 1332476 1377140 1483552 1488800 1665595 1721425 1854440 1927996 2004800 2084320 2119360 2203424 2318050 2331833 2409995 2605400 2649200 2664952 2754280 2967104 2977600 3331190 3442850 3708880 3855992 4168640 4406848 4636100 4663666 4819990 5210800 5298400 5329904 5508560 6662380 6885700 7417760 7711984 8327975 9272200 9327332 9639980 10421600 10596800 10659808 11017120 11659165 12049975 12325403 13324760 13771400 14835520 15423968 16655950 18544400 18654664 19279960 20843200 21319616 22034240 23318330 24099950 24650806 26649520 27542800 30847936 33311900 37088800 37309328 38559920 46636660 48199900 49301612 53299040 55085600 58295825 61627015 66623800 74177600 74618656 77119840 86277821 93273320 96399800 98603224 106598080 110171200 116591650 123254030 133247600 149237312 154239680 172555642 186546640 192799600 197206448 233183300 246508060 266495200 308135075 345111284 373093280 385599200 394412896 431389105 466366600 493016120 532990400 616270150 690222568 746186560 771198400 788825792 862778210 932733200 986032240 1232540300 1380445136 1725556420 1865466400 1972064480 2156945525 2465080600 2760890272 3451112840 3730932800 3944128960 4313891050 4930161200 5521780544 6902225680 8627782100 9860322400 13804451360 17255564200 19720644800 27608902720 34511128400 69022256800 138044513600
- Sum of all divisors σ(n): 401135575680
- Sum of proper divisors (its aliquot sum) s(n): 263091062080
- 138044513600 is an abundant number, because the sum of its proper divisors (263091062080) is greater than itself. Its abundance is 125046548480
Bases of 138044513600
- Binary: 100000001001000001100000011101010000002
- Hexadecimal: 0x2024181D40
- Base-36: 1RF050E8
Squares and roots of 138044513600
- 138044513600 squared (1380445136002) is 19056287735060584960000
- 138044513600 cubed (1380445136003) is 2630615971408084117334675456000000
-
The
square root of 138044513600 is 371543.4208810593 -
The
cube root of 138044513600 is 5168.2048222745
Scales and comparisons
How big is 138044513600?- 138,044,513,600 seconds is equal to 4,389 years, 20 weeks, 1 day, 10 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,044,513,600 would take you about eight thousand, seven hundred seventy-eight 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 138044513600 cubic inches would be around 430.7 feet tall.
Recreational maths with 138044513600
- 138044513600 backwards is 006315440831
- 138044513600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138044513600's digits is 35
- More coming soon!
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