137325888575478300672
137,325,888,575,478,300,672 is an even composite number composed of four prime numbers multiplied together.
What does the number 137325888575478300672 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1890 divisors.
137325888575478300672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 137325888575478300672:
217 × 34 × 136 × 16372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 1637 × 1637)See below for interesting mathematical facts about the number 137325888575478300672 from the Numbermatics database.
Names of 137325888575478300672
- Cardinal: 137325888575478300672 can be written as One hundred thirty-seven quintillion, three hundred twenty-five quadrillion, eight hundred eighty-eight trillion, five hundred seventy-five billion, four hundred seventy-eight million, three hundred thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37325888575478300672 × 1020
Factors of 137325888575478300672
Divisors of 137325888575478300672
- Number of divisors d(n): 1890
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 256 288 312 324 338 351 384 416 432 468 507 512 576 624 648 676 702 768 832 864 936 1014 1024 1053 1152 1248 1296 1352 1404 1521 1536 1637 1664 1728 1872 2028 2048 2106 2197 2304 2496 2592 2704 2808 3042 3072 3274 3328 3456 3744 4056 4096 4212 4394 4563 4608 4911 4992 5184 5408 5616 6084 6144 6548 6591 6656 6912 7488 8112 8192 8424 8788 9126 9216 9822 9984 10368 10816 11232 12168 12288 13096 13182 13312 13689 13824 14733 14976 16224 16384 16848 17576 18252 18432 19644 19773 19968 20736 21281 21632 22464 24336 24576 26192 26364 26624 27378 27648 28561 29466 29952 32448 32768 33696 35152 36504 36864 39288 39546 39936 41472 42562 43264 44199 44928 48672 49152 52384 52728 53248 54756 55296 57122 58932 59319 59904 63843 64896 65536 67392 70304 73008 73728 78576 79092 79872 82944 85124 85683 86528 88398 89856 97344 98304 104768 105456 106496 109512 110592 114244 117864 118638 119808 127686 129792 131072 132597 134784 140608 146016 147456 157152 158184 159744 165888 170248 171366 173056 176796 177957 179712 191529 194688 196608 209536 210912 212992 219024 221184 228488 235728 237276 239616 255372 257049 259584 265194 269568 276653 281216 292032 294912 314304 316368 319488 331776 340496 342732 346112 353592 355914 359424 371293 383058 389376 393216 419072 421824 425984 438048 442368 456976 471456 474552 479232 510744 514098 519168 530388 539136 553306 562432 574587 584064 589824 628608 632736 638976 663552 680992 685464 692224 707184 711828 718848 742586 766116 771147 778752 829959 838144 843648 851968 876096 884736 913952 942912 949104 958464 1021488 1028196 1038336 1060776 1078272 1106612 1113879 1124864 1149174 1168128 1179648 1257216 1265472 1277952 1327104 1361984 1370928 1384448 1414368 1423656 1437696 1485172 1532232 1542294 1557504 1659918 1676288 1687296 1703936 1723761 1752192 1769472 1827904 1885824 1898208 1916928 2042976 2056392 2076672 2121552 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3226490497990656 3311291680542976 3438649052871552 3472560779231232 3495364706156544 3725203140610848 3761940844167168 3906630876635136 4075435914514432 4190853533187204 4232183449688064 4584865403828736 4660486274875392 4808161078935552 4966937520814464 5015921125556224 5157973579307328 5208841168846848 5243047059234816 5587804710916272 5642911266250752 6113153871771648 6348275174532096 6452980995981312 6622583361085952 6877298105743104 6945121558462464 6990729412313088 7450406281221696 7523881688334336 7813261753270272 8150871829028864 8381707066374408 8464366899376128 9169730807657472 9320972549750784 9933875041628928 10031842251112448 10315947158614656 10417682337693696 10486094118469632 11175609421832544 11285822532501504 12226307743543296 12696550349064192 13245166722171904 13754596211486208 13981458824626176 14900812562443392 15047763376668672 15626523506540544 16301743658057728 16763414132748816 16928733798752256 18339461615314944 19867750083257856 20631894317229312 20835364675387392 20972188236939264 22351218843665088 22571645065003008 24452615487086592 25393100698128384 26490333444343808 27509192422972416 27962917649252352 29801625124886784 30095526753337344 31253047013081088 32603487316115456 33526828265497632 33857467597504512 36678923230629888 39735500166515712 41263788634458624 41944376473878528 44702437687330176 45143290130006016 48905230974173184 50786201396256768 52980666888687616 55018384845944832 59603250249773568 62506094026162176 65206974632230912 67053656530995264 67714935195009024 73357846461259776 79471000333031424 82527577268917248 83888752947757056 89404875374660352 90286580260012032 97810461948346368 101572402792513536 105961333777375232 110036769691889664 119206500499547136 130413949264461824 134107313061990528 135429870390018048 146715692922519552 158942000666062848 165055154537834496 178809750749320704 195620923896692736 203144805585027072 211922667554750464 220073539383779328 238413000999094272 268214626123981056 270859740780036096 293431385845039104 317884001332125696 330110309075668992 357619501498641408 391241847793385472 406289611170054144 423845335109500928 440147078767558656 476826001998188544 536429252247962112 586862771690078208 635768002664251392 660220618151337984 715239002997282816 812579222340108288 847690670219001856 880294157535117312 953652003996377088 1072858504495924224 1173725543380156416 1271536005328502784 1320441236302675968 1430478005994565632 1695381340438003712 1760588315070234624 1907304007992754176 2145717008991848448 2543072010657005568 2640882472605351936 2860956011989131264 3521176630140469248 3814608015985508352 4291434017983696896 5086144021314011136 5281764945210703872 5721912023978262528 7629216031971016704 8582868035967393792 10563529890421407744 11443824047956525056 15258432063942033408 17165736071934787584 22887648095913050112 34331472143869575168 45775296191826100224 68662944287739150336 137325888575478300672
- Sum of all divisors σ(n): 444742453439876779803
- Sum of proper divisors (its aliquot sum) s(n): 307416564864398479131
- 137325888575478300672 is an abundant number, because the sum of its proper divisors (307416564864398479131) is greater than itself. Its abundance is 170090676288920178459
Bases of 137325888575478300672
- Binary: 11101110001110001111001000000010011010111100100001000000000000000002
- Hexadecimal: 0x771C790135E420000
- Base-36: SZC5OQAHGJK00
Squares and roots of 137325888575478300672
- 137325888575478300672 squared (1373258885754783006722) is 18858399673044681660202068016332835651584
- 137325888575478300672 cubed (1373258885754783006723) is 2589746492212370369901717055919594993591213608520618185064448
-
The
square root of 137325888575478300672 is 11718612911.7518981505 -
The
cube root of 137325888575478300672 is 5159221.0902819025
Scales and comparisons
How big is 137325888575478300672?- 137,325,888,575,478,300,672 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,325,888,575,478,300,672 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137325888575478300672 cubic inches would be around 429935.1 feet tall.
Recreational maths with 137325888575478300672
- 137325888575478300672 backwards is 276003874575888523731
- The number of decimal digits it has is: 21
- The sum of 137325888575478300672's digits is 99
- More coming soon!
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Cite this page
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"Number 137325888575478300672 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 137325888575478300672 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137325888575478300672/
Chicago style:
Numbermatics. 2024. "Number 137325888575478300672 - Facts about the integer". https://numbermatics.com/n/137325888575478300672/
The information we have on file for 137325888575478300672 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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