137442904420307640
137,442,904,420,307,640 is an even composite number composed of ten prime numbers multiplied together.
What does the number 137442904420307640 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 2048 divisors.
137442904420307640 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 137442904420307640:
23 × 3 × 5 × 7 × 11 × 31 × 67 × 547 × 631 × 20749
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 31 × 67 × 547 × 631 × 20749)See below for interesting mathematical facts about the number 137442904420307640 from the Numbermatics database.
Names of 137442904420307640
- Cardinal: 137442904420307640 can be written as One hundred thirty-seven quadrillion, four hundred forty-two trillion, nine hundred four billion, four hundred twenty million, three hundred seven thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3744290442030764 × 1017
Factors of 137442904420307640
Divisors of 137442904420307640
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 31 33 35 40 42 44 55 56 60 62 66 67 70 77 84 88 93 105 110 120 124 132 134 140 154 155 165 168 186 201 210 217 220 231 248 264 268 280 308 310 330 335 341 372 385 402 420 434 440 462 465 469 536 547 616 620 631 651 660 670 682 737 744 770 804 840 868 924 930 938 1005 1023 1085 1094 1155 1240 1262 1302 1320 1340 1364 1407 1474 1540 1608 1641 1705 1736 1848 1860 1876 1893 2010 2046 2077 2170 2188 2211 2310 2345 2387 2524 2604 2680 2728 2735 2814 2948 3080 3155 3255 3282 3410 3685 3720 3752 3786 3829 4020 4092 4154 4340 4376 4417 4422 4620 4690 4774 5048 5115 5159 5208 5470 5628 5896 6017 6231 6310 6510 6564 6820 6941 7035 7161 7370 7572 7658 8040 8184 8205 8308 8680 8834 8844 9240 9380 9465 9548 10230 10318 10385 10940 11055 11256 11487 11935 12034 12462 12620 13020 13128 13251 13640 13882 14070 14322 14539 14740 15144 15316 15477 16410 16616 16957 17668 17688 18051 18760 18930 19096 19145 19561 20460 20636 20749 20770 20823 21880 22085 22110 22847 22974 23870 24068 24924 25240 25795 26040 26502 27764 28140 28644 29078 29480 30085 30632 30954 31155 32820 33914 34705 35336 35805 36102 36649 37860 38290 39122 40920 41272 41498 41540 41646 42119 42277 43617 44170 44220 45694 45948 47740 48136 48587 49848 50871 51590 53004 55528 56280 57288 57435 58156 58683 60170 61908 62247 62310 65640 66255 67828 68541 69410 71610 72204 72695 73298 75720 76580 77385 78244 82996 83080 83292 84238 84554 84785 87234 88340 88440 90255 91388 91896 95480 97174 97805 101742 103180 103745 104115 106008 109947 114235 114870 116312 117366 118699 120340 123816 124494 124620 126357 126831 132510 135656 136927 137082 138820 143220 144408 145243 145390 145761 146596 153160 154770 156488 159929 165992 166584 168476 169108 169570 174468 176680 180510 182776 183245 186527 194348 195610 203484 206360 207490 208230 210595 211385 215171 218085 219894 228239 228470 229740 234732 237398 240680 242935 248988 249240 252714 253662 254355 256543 265020 273854 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1108410519518610 1145357536835897 1249480949275524 1308980042098168 1477880692691480 1561851186594405 1636225052622710 1784972784679320 1963470063147252 2051386633138920 2082468248792540 2216821039037220 2290715073671794 2454337578934065 2498961898551048 3123702373188810 3272450105245420 3436072610507691 3926940126294504 4164936497585080 4433642078074440 4581430147343588 4908675157868130 5726787684179485 6247404746377620 6544900210490840 6872145221015382 9162860294687176 9817350315736260 11453575368358970 12494809492755240 13744290442030764 17180363052538455 19634700631472520 22907150736717940 27488580884061528 34360726105076910 45814301473435880 68721452210153820 137442904420307640
- Sum of all divisors σ(n): 540441091768320000
- Sum of proper divisors (its aliquot sum) s(n): 402998187348012360
- 137442904420307640 is an abundant number, because the sum of its proper divisors (402998187348012360) is greater than itself. Its abundance is 265555282927704720
Bases of 137442904420307640
- Binary: 1111010000100101110010111111001101101111011010010101110002
- Hexadecimal: 0x1E84B97E6DED2B8
- Base-36: 11LBFYML7XKO
Squares and roots of 137442904420307640
- 137442904420307640 squared (1374429044203076402) is 18890551975489821406631632242369600
- 137442904420307640 cubed (1374429044203076403) is 2596372329614101195684281073094131362456674583744000
-
The
square root of 137442904420307640 is 370732928.6970711479 -
The
cube root of 137442904420307640 is 516068.6070719615
Scales and comparisons
How big is 137442904420307640?- 137,442,904,420,307,640 seconds is equal to 4,370,259,221 years, 38 weeks, 6 days, 12 hours, 34 minutes.
-
To count from 1 to 137,442,904,420,307,640 would take you about thirteen billion, one hundred ten million, seven hundred seventy-seven thousand, six hundred sixty-five 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 137442904420307640 cubic inches would be around 43005.7 feet tall.
Recreational maths with 137442904420307640
- 137442904420307640 backwards is 046703024409244731
- 137442904420307640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137442904420307640's digits is 60
- More coming soon!
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"Number 137442904420307640 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 137442904420307640 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/137442904420307640/
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The information we have on file for 137442904420307640 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!
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