138004364896000
138,004,364,896,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138004364896000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
138004364896000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138004364896000:
28 × 53 × 73 × 331 × 178481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 73 × 331 × 178481)See below for interesting mathematical facts about the number 138004364896000 from the Numbermatics database.
Names of 138004364896000
- Cardinal: 138004364896000 can be written as One hundred thirty-eight trillion, four billion, three hundred sixty-four million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38004364896 × 1014
Factors of 138004364896000
Divisors of 138004364896000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 256 292 320 331 365 400 500 584 640 662 730 800 1000 1168 1280 1324 1460 1600 1655 1825 2000 2336 2648 2920 3200 3310 3650 4000 4672 5296 5840 6400 6620 7300 8000 8275 9125 9344 10592 11680 13240 14600 16000 16550 18250 18688 21184 23360 24163 26480 29200 32000 33100 36500 41375 42368 46720 48326 52960 58400 66200 73000 82750 84736 93440 96652 105920 116800 120815 132400 146000 165500 178481 193304 211840 233600 241630 264800 292000 331000 356962 386608 423680 467200 483260 529600 584000 604075 662000 713924 773216 892405 966520 1059200 1168000 1208150 1324000 1427848 1546432 1784810 1933040 2118400 2336000 2416300 2648000 2855696 3020375 3092864 3569620 3866080 4462025 4832600 5296000 5711392 6040750 6185728 7139240 7732160 8924050 9665200 10592000 11422784 12081500 13029113 14278480 15464320 17848100 19330400 22310125 22845568 24163000 26058226 28556960 30928640 35696200 38660800 44620250 45691136 48326000 52116452 57113920 59077211 65145565 71392400 77321600 89240500 96652000 104232904 114227840 118154422 130291130 142784800 154643200 178481000 193304000 208465808 228455680 236308844 260582260 285569600 295386055 325727825 356962000 386608000 416931616 472617688 521164520 571139200 590772110 651455650 713924000 773216000 833863232 945235376 1042329040 1142278400 1181544220 1302911300 1427848000 1476930275 1628639125 1667726464 1890470752 2084658080 2363088440 2605822600 2855696000 2953860550 3257278250 3335452928 3780941504 4169316160 4312636403 4726176880 5211645200 5711392000 5907721100 6514556500 7384651375 7561883008 8338632320 8625272806 9452353760 10423290400 11815442200 13029113000 14769302750 15123766016 16677264640 17250545612 18904707520 20846580800 21563182015 23630884400 26058226000 29538605500 34501091224 37809415040 41693161600 43126364030 47261768800 52116452000 59077211000 69002182448 75618830080 83386323200 86252728060 94523537600 104232904000 107815910075 118154422000 138004364896 172505456120 189047075200 208465808000 215631820150 236308844000 276008729792 345010912240 378094150400 416931616000 431263640300 472617688000 539079550375 552017459584 690021824480 862527280600 945235376000 1078159100750 1104034919168 1380043648960 1725054561200 1890470752000 2156318201500 2760087297920 3450109122400 4312636403000 5520174595840 6900218244800 8625272806000 13800436489600 17250545612000 27600872979200 34501091224000 69002182448000 138004364896000
- Sum of all divisors σ(n): 349550337479616
- Sum of proper divisors (its aliquot sum) s(n): 211545972583616
- 138004364896000 is an abundant number, because the sum of its proper divisors (211545972583616) is greater than itself. Its abundance is 73541607687616
Bases of 138004364896000
- Binary: 111110110000011101001010010010110100111000000002
- Hexadecimal: 0x7D83A525A700
- Base-36: 1CX2BVOWSG
Squares and roots of 138004364896000
- 138004364896000 squared (1380043648960002) is 19045204730348317090816000000
- 138004364896000 cubed (1380043648960003) is 2628321383126014436980484434395136000000000
-
The
square root of 138004364896000 is 11747525.9053129991 -
The
cube root of 138004364896000 is 51677.0373548859
Scales and comparisons
How big is 138004364896000?- 138,004,364,896,000 seconds is equal to 4,388,111 years, 48 weeks, 1 day, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,004,364,896,000 would take you about ten million, nine hundred seventy thousand, two hundred seventy-nine 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 138004364896000 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138004364896000
- 138004364896000 backwards is 000698463400831
- The number of decimal digits it has is: 15
- The sum of 138004364896000's digits is 52
- More coming soon!
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