137811069741332000
137,811,069,741,332,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137811069741332000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
137811069741332000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 137811069741332000:
25 × 53 × 13 × 17 × 53 × 61 × 157 × 281 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 53 × 61 × 157 × 281 × 1093)See below for interesting mathematical facts about the number 137811069741332000 from the Numbermatics database.
Names of 137811069741332000
- Cardinal: 137811069741332000 can be written as One hundred thirty-seven quadrillion, eight hundred eleven trillion, sixty-nine billion, seven hundred forty-one million, three hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.37811069741332 × 1017
Factors of 137811069741332000
Divisors of 137811069741332000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 53 61 65 68 80 85 100 104 106 122 125 130 136 157 160 170 200 208 212 221 244 250 260 265 272 281 305 314 325 340 400 416 424 425 442 488 500 520 530 544 562 610 628 650 680 689 785 793 800 848 850 884 901 976 1000 1037 1040 1060 1093 1105 1124 1220 1256 1300 1325 1360 1378 1405 1525 1570 1586 1625 1696 1700 1768 1802 1952 2000 2041 2074 2080 2120 2125 2186 2210 2248 2440 2512 2600 2650 2669 2720 2756 2810 3050 3140 3172 3233 3250 3400 3445 3536 3604 3653 3925 3965 4000 4082 4148 4240 4250 4372 4420 4496 4505 4777 4880 5024 5185 5200 5300 5338 5465 5512 5525 5620 6100 6280 6344 6466 6500 6625 6800 6890 7025 7072 7208 7306 7625 7850 7930 8164 8296 8321 8480 8500 8744 8840 8992 9010 9554 9577 9760 10205 10370 10400 10600 10676 10930 11024 11050 11240 11713 12200 12560 12688 12932 13000 13250 13345 13481 13600 13780 14050 14209 14416 14612 14893 15250 15700 15860 16165 16328 16592 16642 17000 17141 17225 17488 17680 18020 18265 18581 19108 19154 19625 19825 20410 20740 21200 21352 21860 22048 22100 22480 22525 23426 23885 24400 25120 25376 25864 25925 26000 26500 26690 26962 27325 27560 27625 28100 28418 28832 29224 29786 30500 31400 31720 32330 32656 33184 33284 34000 34282 34450 34697 34976 35125 35360 36040 36530 37162 38216 38308 39250 39650 40820 41480 41605 42029 42400 42704 43720 44117 44200 44960 45050 46852 47770 47885 48800 51025 51728 51850 52000 53000 53380 53924 54650 54961 55120 55250 56200 56836 57929 58448 58565 59572 61000 62101 62800 63440 64660 65312 66568 66673 66725 67405 68000 68564 68900 69394 70250 71045 72080 73060 74324 74465 76432 76616 78500 79300 80825 81640 82960 83210 84058 85408 85705 86125 87440 88234 88400 90100 91325 92905 93704 95540 95770 99125 102050 103456 103700 106000 106760 107848 108173 109300 109922 110240 110500 112400 112625 113672 115858 116896 117130 119144 119425 122000 124202 124501 125600 126880 129320 129625 133136 133346 133450 134810 136625 137128 137800 138788 140500 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219444378569000 225919786461200 245215426586000 253329172318625 260020886304400 265021287964100 275622139482664 282399733076500 311789750546000 324261340567840 325026107880500 331276609955125 344527674353330 405326675709800 424034060742560 438888757138000 451839572922400 490430853172000 506658344637250 520041772608800 530042575928200 551244278965328 564799466153000 623579501092000 650052215761000 662553219910250 689055348706660 810653351419600 861319185883325 877777514276000 1013316689274500 1060085151856400 1102488557930656 1129598932306000 1300104431522000 1325106439820500 1378110697413320 1621306702839200 1722638371766650 2026633378549000 2120170303712800 2259197864612000 2600208863044000 2650212879641000 2756221394826640 3445276743533300 4053266757098000 4306595929416625 5300425759282000 5512442789653280 6890553487066600 8106533514196000 8613191858833250 10600851518564000 13781106974133200 17226383717666500 27562213948266400 34452767435333000 68905534870666000 137811069741332000
- Sum of all divisors σ(n): 404179847021164032
- Sum of proper divisors (its aliquot sum) s(n): 266368777279832032
- 137811069741332000 is an abundant number, because the sum of its proper divisors (266368777279832032) is greater than itself. Its abundance is 128557707538500032
Bases of 137811069741332000
- Binary: 1111010011001101001110000000100100000110001110110001000002
- Hexadecimal: 0x1E99A70120C7620
- Base-36: 11OXY3FVM0BK
Squares and roots of 137811069741332000
- 137811069741332000 squared (1378110697413320002) is 18991890943250272357389134224000000
- 137811069741332000 cubed (1378110697413320003) is 2617292807300034864854557543641927108546368000000000
-
The
square root of 137811069741332000 is 371229133.7453621783 -
The
cube root of 137811069741332000 is 516528.9901642843
Scales and comparisons
How big is 137811069741332000?- 137,811,069,741,332,000 seconds is equal to 4,381,965,740 years, 7 weeks, 4 days, 13 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,811,069,741,332,000 would take you about thirteen billion, one hundred forty-five million, eight hundred ninety-seven thousand, two hundred twenty 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 137811069741332000 cubic inches would be around 43044.1 feet tall.
Recreational maths with 137811069741332000
- 137811069741332000 backwards is 000233147960118731
- The number of decimal digits it has is: 18
- The sum of 137811069741332000's digits is 56
- More coming soon!
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Cite this page
MLA style:
"Number 137811069741332000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 137811069741332000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137811069741332000/
Chicago style:
Numbermatics. 2024. "Number 137811069741332000 - Facts about the integer". https://numbermatics.com/n/137811069741332000/
The information we have on file for 137811069741332000 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 137811069741332000, math, Factors of 137811069741332000, curriculum, school, college, exams, university, Prime factorization of 137811069741332000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, eight hundred eleven trillion, sixty-nine billion, seven hundred forty-one million, three hundred thirty-two thousand.