13038044289536000
13,038,044,289,536,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13038044289536000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3744 divisors.
13038044289536000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 13038044289536000:
212 × 53 × 7 × 192 × 31 × 61 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 19 × 31 × 61 × 73 × 73)See below for interesting mathematical facts about the number 13038044289536000 from the Numbermatics database.
Names of 13038044289536000
- Cardinal: 13038044289536000 can be written as Thirteen quadrillion, thirty-eight trillion, forty-four billion, two hundred eighty-nine million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3038044289536 × 1016
Factors of 13038044289536000
Divisors of 13038044289536000
- Number of divisors d(n): 3744
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 50 56 61 62 64 70 73 76 80 95 100 112 122 124 125 128 133 140 146 152 155 160 175 190 200 217 224 244 248 250 256 266 280 292 304 305 310 320 350 361 365 380 400 427 434 448 475 488 496 500 511 512 532 560 584 589 608 610 620 640 665 700 722 730 760 775 800 854 868 875 896 950 976 992 1000 1022 1024 1064 1085 1120 1159 1168 1178 1216 1220 1240 1280 1330 1387 1400 1444 1460 1520 1525 1550 1600 1708 1736 1750 1792 1805 1825 1891 1900 1952 1984 2000 2044 2048 2128 2135 2170 2240 2263 2318 2336 2356 2375 2432 2440 2480 2527 2555 2560 2660 2774 2800 2888 2920 2945 3040 3050 3100 3200 3325 3416 3472 3500 3584 3610 3650 3782 3800 3875 3904 3968 4000 4088 4096 4123 4256 4270 4340 4453 4480 4526 4636 4672 4712 4750 4864 4880 4960 5054 5110 5120 5320 5329 5425 5548 5600 5776 5795 5840 5890 6080 6100 6200 6400 6650 6832 6935 6944 7000 7168 7220 7300 7564 7600 7625 7750 7808 7936 8000 8113 8176 8246 8512 8540 8680 8906 8960 9025 9052 9125 9272 9344 9424 9455 9500 9709 9728 9760 9920 10108 10220 10240 10640 10658 10675 10850 11096 11191 11200 11315 11552 11590 11680 11780 12160 12200 12400 12635 12775 12800 13237 13300 13664 13870 13888 14000 14336 14440 14600 14725 15128 15200 15250 15500 15616 15841 15872 16000 16226 16352 16492 16625 17024 17080 17360 17812 17920 18050 18104 18250 18544 18688 18848 18910 19000 19418 19456 19520 19840 20216 20440 20480 20615 21280 21316 21350 21700 22021 22192 22265 22382 22400 22630 23104 23180 23360 23560 24320 24400 24800 25270 25550 25600 26353 26474 26600 26645 27125 27328 27740 27776 28000 28672 28880 28975 29200 29450 30256 30400 30500 31000 31171 31232 31682 31744 32000 32452 32704 32984 33250 34048 34160 34675 34720 35624 35840 35929 36100 36208 36500 37088 37303 37376 37696 37820 38000 38836 38912 39040 39680 40432 40565 40880 41230 42560 42632 42700 42997 43400 44042 44384 44530 44764 44800 45125 45260 46208 46360 46720 47120 47275 48545 48640 48800 49600 50540 51100 51200 52706 52948 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44650836608000 46564443891200 49015204096000 50929860506000 52152177158144 52572759232000 53434607744000 58205554864000 60083153408000 65190221447680 68621285734400 74503110225920 81487776809600 84116414771200 85776607168000 89301673216000 93128887782400 98030408192000 101859721012000 104304354316288 105145518464000 106869215488000 116411109728000 130380442895360 137242571468800 162975553619200 171553214336000 178603346432000 186257775564800 203719442024000 210291036928000 213738430976000 232822219456000 260760885790720 325951107238400 343106428672000 372515551129600 407438884048000 420582073856000 465644438912000 521521771581440 651902214476800 686212857344000 814877768096000 931288877824000 1303804428953600 1629755536192000 1862577755648000 2607608857907200 3259511072384000 6519022144768000 13038044289536000
- Sum of all divisors σ(n): 41749677234210816
- Sum of proper divisors (its aliquot sum) s(n): 28711632944674816
- 13038044289536000 is an abundant number, because the sum of its proper divisors (28711632944674816) is greater than itself. Its abundance is 15673588655138816
Bases of 13038044289536000
- Binary: 1011100101001000001000001111100111000110010000000000002
- Hexadecimal: 0x2E52083E719000
- Base-36: 3KDLMUXNTVK
Squares and roots of 13038044289536000
- 13038044289536000 squared (130380442895360002) is 169990598895902298999095296000000
- 13038044289536000 cubed (130380442895360003) is 2216344957209523635975328472443079622656000000000
-
The
square root of 13038044289536000 is 114184255.8741615657 -
The
cube root of 13038044289536000 is 235362.6168144411
Scales and comparisons
How big is 13038044289536000?- 13,038,044,289,536,000 seconds is equal to 414,569,479 years, 4 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,038,044,289,536,000 would take you about one billion, two hundred forty-three million, seven hundred eight thousand, four hundred thirty-seven 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 13038044289536000 cubic inches would be around 19613.6 feet tall.
Recreational maths with 13038044289536000
- 13038044289536000 backwards is 00063598244083031
- 13038044289536000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13038044289536000's digits is 56
- More coming soon!
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"Number 13038044289536000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13038044289536000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13038044289536000/
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The information we have on file for 13038044289536000 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 13038044289536000, math, Factors of 13038044289536000, curriculum, school, college, exams, university, Prime factorization of 13038044289536000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, thirty-eight trillion, forty-four billion, two hundred eighty-nine million, five hundred thirty-six thousand.