972013700128000
972,013,700,128,000 is an even composite number composed of four prime numbers multiplied together.
972013700128000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 972013700128000:
28 × 53 × 372 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 37 × 281 × 281 × 281)See below for interesting mathematical facts about the number 972013700128000 from the Numbermatics database.
Names of 972013700128000
- Cardinal: 972013700128000 can be written as Nine hundred seventy-two trillion, thirteen billion, seven hundred million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.72013700128 × 1014
Factors of 972013700128000
Divisors of 972013700128000
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 256 281 296 320 370 400 500 562 592 640 740 800 925 1000 1124 1184 1280 1369 1405 1480 1600 1850 2000 2248 2368 2738 2810 2960 3200 3700 4000 4496 4625 4736 5476 5620 5920 6400 6845 7025 7400 8000 8992 9250 9472 10397 10952 11240 11840 13690 14050 14800 16000 17984 18500 20794 21904 22480 23680 27380 28100 29600 32000 34225 35125 35968 37000 41588 43808 44960 47360 51985 54760 56200 59200 68450 70250 71936 74000 78961 83176 87616 89920 103970 109520 112400 118400 136900 140500 148000 157922 166352 171125 175232 179840 207940 219040 224800 236800 259925 273800 281000 296000 315844 332704 342250 350464 359680 384689 394805 415880 438080 449600 519850 547600 562000 592000 631688 665408 684500 769378 789610 831760 876160 899200 1039700 1095200 1124000 1184000 1263376 1299625 1330816 1369000 1538756 1579220 1663520 1752320 1798400 1923445 1974025 2079400 2190400 2248000 2526752 2599250 2661632 2738000 2921557 3077512 3158440 3327040 3846890 3948050 4158800 4380800 4496000 5053504 5198500 5476000 5843114 6155024 6316880 6654080 7693780 7896100 8317600 8761600 8992000 9617225 9870125 10107008 10397000 10952000 11686228 12310048 12633760 13308160 14607785 15387560 15792200 16635200 19234450 19740250 20214016 20794000 21904000 22188041 23372456 24620096 25267520 29215570 30775120 31584400 33270400 38468900 39480500 41588000 43808000 44376082 46744912 48086125 49240192 50535040 58431140 61550240 63168800 66540800 73038925 76937800 78961000 83176000 88752164 93489824 96172250 98480384 101070080 108097609 110940205 116862280 123100480 126337600 146077850 153875600 157922000 166352000 177504328 186979648 192344500 216195218 221880410 233724560 246200960 252675200 292155700 307751200 315844000 332704000 355008656 365194625 373959296 384689000 432390436 443760820 467449120 492401920 505350400 540488045 554701025 584311400 615502400 631688000 710017312 730389250 747918592 769378000 820957517 864780872 887521640 934898240 1080976090 1109402050 1168622800 1231004800 1263376000 1420034624 1460778500 1538756000 1641915034 1729561744 1775043280 1869796480 2161952180 2218804100 2337245600 2462009600 2526752000 2702440225 2773505125 2840069248 2921557000 3077512000 3283830068 3459123488 3550086560 3739592960 4104787585 4323904360 4437608200 4674491200 5404880450 5547010250 5680138496 5843114000 6155024000 6567660136 6918246976 7100173120 8209575170 8647808720 8875216400 9348982400 10809760900 11094020500 11686228000 12310048000 13135320272 13512201125 13836493952 14200346240 16419150340 17295617440 17750432800 18697964800 20523937925 21619521800 22188041000 23372456000 26270640544 27024402250 27672987904 28400692480 30375428129 32838300680 34591234880 35500865600 41047875850 43239043600 44376082000 46744912000 52541281088 54048804500 60750856258 65676601360 69182469760 71001731200 82095751700 86478087200 88752164000 93489824000 102619689625 105082562176 108097609000 121501712516 131353202720 138364939520 142003462400 151877140645 164191503400 172956174400 177504328000 205239379250 210165124352 216195218000 243003425032 262706405440 303754281290 328383006800 345912348800 355008656000 410478758500 432390436000 486006850064 525412810880 607508562580 656766013600 691824697600 710017312000 759385703225 820957517000 864780872000 972013700128 1050825621760 1215017125160 1313532027200 1518771406450 1641915034000 1729561744000 1944027400256 2430034250320 2627064054400 3037542812900 3283830068000 3459123488000 3796928516125 3888054800512 4860068500640 5254128108800 6075085625800 6567660136000 7593857032250 7776109601024 9720137001280 12150171251600 13135320272000 15187714064500 19440274002560 24300342503200 26270640544000 30375428129000 38880548005120 48600685006400 60750856258000 97201370012800 121501712516000 194402740025600 243003425032000 486006850064000 972013700128000
- Sum of all divisors σ(n): 2497507747561008
- Sum of proper divisors (its aliquot sum) s(n): 1525494047433008
- 972013700128000 is an abundant number, because the sum of its proper divisors (1525494047433008) is greater than itself. Its abundance is 553480347305008
Bases of 972013700128000
- Binary: 110111010000001010100100110101000000011101000000002
- Hexadecimal: 0x3740A93501D00
- Base-36: 9KJSXGEMF4
Squares and roots of 972013700128000
- 972013700128000 squared (9720137001280002) is 944810633236525507216384000000
- 972013700128000 cubed (9720137001280003) is 918368879532513894468049377384497152000000000
-
The
square root of 972013700128000 is 31177134.2513708273 -
The
cube root of 972013700128000 is 99058.2828640963
Scales and comparisons
How big is 972013700128000?- 972,013,700,128,000 seconds is equal to 30,907,029 years, 1 week, 3 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 972,013,700,128,000 would take you about seventy-seven million, two hundred sixty-seven thousand, five hundred seventy-two 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 972013700128000 cubic inches would be around 8254.9 feet tall.
Recreational maths with 972013700128000
- 972013700128000 backwards is 000821007310279
- 972013700128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 972013700128000's digits is 40
- More coming soon!
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