38138044090874000
38,138,044,090,874,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 38138044090874000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3240 divisors.
38138044090874000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 38138044090874000:
24 × 53 × 78 × 132 × 232 × 37
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 23 × 23 × 37)See below for interesting mathematical facts about the number 38138044090874000 from the Numbermatics database.
Names of 38138044090874000
- Cardinal: 38138044090874000 can be written as Thirty-eight quadrillion, one hundred thirty-eight trillion, forty-four billion, ninety million, eight hundred seventy-four thousand.
Scientific notation
- Scientific notation: 3.8138044090874 × 1016
Factors of 38138044090874000
Divisors of 38138044090874000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 35 37 40 46 49 50 52 56 65 70 74 80 91 92 98 100 104 112 115 125 130 140 148 161 169 175 182 184 185 196 200 208 230 245 250 259 260 280 296 299 322 325 338 343 350 364 368 370 392 400 455 460 481 490 500 518 520 529 560 575 592 598 637 644 650 676 686 700 728 740 784 805 845 851 875 910 920 925 962 980 1000 1036 1040 1058 1127 1150 1183 1196 1225 1274 1288 1295 1300 1352 1372 1400 1456 1480 1495 1610 1625 1690 1702 1715 1750 1813 1820 1840 1850 1924 1960 2000 2072 2093 2116 2254 2275 2300 2366 2392 2401 2405 2450 2548 2576 2590 2600 2645 2704 2744 2800 2875 2960 2990 3185 3220 3250 3367 3380 3404 3430 3500 3626 3640 3700 3703 3848 3887 3920 4025 4144 4186 4225 4232 4255 4459 4508 4550 4600 4625 4732 4784 4802 4810 4900 5096 5180 5200 5290 5488 5635 5750 5915 5957 5980 6125 6253 6370 6440 6475 6500 6734 6760 6808 6860 6877 7000 7252 7280 7400 7406 7475 7696 7774 7889 8050 8281 8372 8450 8464 8510 8575 8918 9016 9065 9100 9200 9250 9464 9604 9620 9800 10192 10360 10465 10580 11063 11270 11375 11500 11830 11914 11960 12005 12025 12250 12506 12691 12740 12880 12950 13000 13225 13468 13520 13616 13720 13754 14000 14504 14651 14800 14812 14950 15548 15778 15925 16100 16562 16744 16807 16835 16900 17020 17150 17836 18032 18130 18200 18500 18515 18928 19208 19240 19435 19573 19600 20125 20720 20930 21125 21160 21275 22126 22295 22540 22750 23000 23569 23660 23828 23920 24010 24050 24500 25012 25382 25480 25900 25921 26000 26450 26936 27209 27440 27508 28175 29008 29302 29575 29624 29785 29900 31096 31213 31265 31556 31850 32200 32375 33124 33488 33614 33670 33800 34040 34300 34385 35672 36260 36400 37000 37030 37375 38416 38480 38870 39146 39445 40250 41405 41699 41860 42250 42320 42550 42875 43771 44252 44590 45080 45325 45500 46000 47138 47320 47656 48020 48100 48139 49000 50024 50764 50960 51800 51842 52325 52900 53872 54418 55016 55223 55315 56350 57967 58604 59150 59248 59570 59800 60025 60125 62192 62426 62530 63112 63455 63700 64400 64750 66125 66248 67228 67340 67600 68080 68600 68770 71344 72520 73255 74000 74060 74750 77441 77740 78292 78890 79625 80500 82810 83398 83720 84035 84175 84500 85100 85750 87542 88504 88837 89180 89401 90160 90650 91000 92575 94276 94640 95312 96040 96200 96278 97175 97865 98000 100048 101528 102557 103600 103684 104650 105800 106375 108836 110032 110446 110630 111475 112700 115934 117208 117649 117845 118300 119140 119600 120050 120250 124852 125060 126224 126910 127400 129500 129605 132250 132496 134456 134680 136045 137011 137200 137540 140875 143819 145040 146510 147875 148120 148925 149500 154882 155480 156065 156325 156584 157780 159250 161000 164983 165620 166796 167440 168070 168350 169000 170200 171500 171925 175084 177008 177674 178360 178802 181300 181447 182000 185150 188552 190463 192080 192400 192556 194350 195730 197225 203056 205114 207025 207368 208495 209300 211600 212750 217672 218491 218855 220892 221260 222950 225400 226625 231868 234416 235298 235690 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25768948710050 26193711600875 27241460064910 27797408229500 28208612493250 29336956992980 29450227097200 29610282679250 29935670401000 31133097217040 31887996731500 32238414278000 33163516600760 33840323062000 36047300653000 36671196241225 36812783871500 38138044090874 38916371521300 39644536477000 41230317936080 41454395750950 41909938561400 43586336103856 44815562974000 45133779989200 47376452286800 48645464401625 51537897420100 52387423201750 54482920129820 55594816459000 56417224986500 58673913985960 59220565358500 59871340802000 63775993463000 64422371775125 66327033201520 68103650162275 72094601306000 73342392482450 73625567743000 76276088181748 77832743042600 79289072954000 82908791501900 83819877122800 95345110227185 97290928803250 103075794840200 103635989377375 104774846403500 108965840259640 111189632918000 112834449973000 117347827971920 118441130717000 127551986926000 128844743550250 136207300324550 146684784964900 147251135486000 152552176363496 155665486085200 165817583003800 183355981206125 190690220454370 194581857606500 206151589680400 207271978754750 209549692807000 217931680519280 225668899946000 236882261434000 257689487100500 272414600649100 293369569929800 305104352726992 331635166007600 340518250811375 366711962412250 381380440908740 389163715213000 414543957509500 419099385614000 476725551135925 515378974201000 544829201298200 586739139859600 681036501622750 733423924824500 762760881817480 778327430426000 829087915019000 953451102271850 1030757948402000 1089658402596400 1362073003245500 1466847849649000 1525521763634960 1658175830038000 1906902204543700 2383627755679625 2724146006491000 2933695699298000 3813804409087400 4767255511359250 5448292012982000 7627608818174800 9534511022718500 19069022045437000 38138044090874000
- Sum of all divisors σ(n): 125076928800037032
- Sum of proper divisors (its aliquot sum) s(n): 86938884709163032
- 38138044090874000 is an abundant number, because the sum of its proper divisors (86938884709163032) is greater than itself. Its abundance is 48800840618289032
Bases of 38138044090874000
- Binary: 100001110111111001011001010110100111011011111000100100002
- Hexadecimal: 0x877E595A76F890
- Base-36: AFIT3L0L6KW
Squares and roots of 38138044090874000
- 38138044090874000 squared (381380440908740002) is 1454510407077449229170083876000000
- 38138044090874000 cubed (381380440908740003) is 55472182035754848842610863598180746147624000000000
-
The
square root of 38138044090874000 is 195289641.5350133209 -
The
cube root of 38138044090874000 is 336604.1547011693
Scales and comparisons
How big is 38138044090874000?- 38,138,044,090,874,000 seconds is equal to 1,212,671,833 years, 19 weeks, 3 days, 1 hour, 53 minutes, 20 seconds.
-
To count from 1 to 38,138,044,090,874,000 would take you about three billion, six hundred thirty-eight million, fifteen thousand, five hundred 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 38138044090874000 cubic inches would be around 28050.3 feet tall.
Recreational maths with 38138044090874000
- 38138044090874000 backwards is 00047809044083183
- The number of decimal digits it has is: 17
- The sum of 38138044090874000's digits is 59
- More coming soon!
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Cite this page
MLA style:
"Number 38138044090874000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 38138044090874000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/38138044090874000/
Chicago style:
Numbermatics. 2024. "Number 38138044090874000 - Facts about the integer". https://numbermatics.com/n/38138044090874000/
The information we have on file for 38138044090874000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 38138044090874000, math, Factors of 38138044090874000, curriculum, school, college, exams, university, Prime factorization of 38138044090874000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, one hundred thirty-eight trillion, forty-four billion, ninety million, eight hundred seventy-four thousand.