132838190440704
132,838,190,440,704 is an even composite number composed of eight prime numbers multiplied together.
What does the number 132838190440704 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
132838190440704 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132838190440704:
28 × 32 × 7 × 29 × 89 × 97 × 167 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 89 × 97 × 167 × 197)See below for interesting mathematical facts about the number 132838190440704 from the Numbermatics database.
Names of 132838190440704
- Cardinal: 132838190440704 can be written as One hundred thirty-two trillion, eight hundred thirty-eight billion, one hundred ninety million, four hundred forty thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.32838190440704 × 1014
Factors of 132838190440704
Divisors of 132838190440704
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 84 87 89 96 97 112 116 126 128 144 167 168 174 178 192 194 197 203 224 232 252 256 261 267 288 291 334 336 348 356 384 388 394 406 448 464 501 504 522 534 576 582 591 609 623 668 672 679 696 712 768 776 788 801 812 873 896 928 1002 1008 1044 1068 1152 1164 1169 1182 1218 1246 1336 1344 1358 1379 1392 1424 1503 1552 1576 1602 1624 1746 1773 1792 1827 1856 1869 2004 2016 2037 2088 2136 2304 2328 2338 2364 2436 2492 2581 2672 2688 2716 2758 2784 2813 2848 3006 3104 3152 3204 3248 3492 3507 3546 3654 3712 3738 4008 4032 4074 4137 4176 4272 4656 4676 4728 4843 4872 4984 5162 5344 5376 5432 5516 5568 5607 5626 5696 5713 6012 6111 6208 6304 6408 6496 6984 7014 7092 7308 7424 7476 7743 8016 8064 8148 8274 8352 8439 8544 8633 9312 9352 9456 9686 9744 9968 10324 10521 10688 10864 11032 11136 11214 11252 11392 11426 12024 12222 12411 12416 12608 12816 12992 13968 14028 14184 14529 14616 14863 14952 15486 16032 16128 16199 16296 16548 16704 16878 17088 17139 17266 17533 18067 18624 18704 18912 19109 19372 19488 19691 19936 20648 21042 21376 21728 22064 22272 22428 22504 22784 22852 23229 24048 24444 24822 24832 25216 25317 25632 25899 25984 27936 28056 28368 29058 29232 29726 29904 30972 32064 32398 32592 32899 33096 33408 33756 33901 34176 34278 34532 35066 36134 37248 37408 37824 38218 38744 38976 39382 39872 39991 41296 42084 42752 43456 43587 44128 44589 44856 45008 45704 46458 48096 48597 48888 49644 50432 50634 51264 51417 51798 51968 52599 54201 55872 56112 56736 57327 58116 58464 59073 59452 59808 60431 61944 64128 64796 65184 65798 66192 66816 67512 67802 68352 68556 69064 70132 72268 74496 74816 75648 76436 77488 77697 77952 78764 79744 79982 82592 84168 86912 87174 88256 89178 89712 90016 91408 92916 96192 97194 97776 98697 99288 101268 101703 102528 102834 103596 104041 105198 108402 111744 112224 113393 113472 114654 116232 116928 118146 118904 119616 119973 120862 122731 123888 128256 129592 130368 131596 132384 133763 133767 135024 135604 137112 138128 140264 144536 145791 149632 151296 152872 154976 155394 155904 157528 157797 159488 159964 162603 165184 168336 171981 173824 174348 176512 177219 178356 179424 180032 181293 182816 185832 192384 194388 195552 197394 198576 202536 203406 205056 205668 207192 208082 210396 216804 223488 224448 226786 226944 229308 230293 232464 233856 236292 237808 239232 239946 241724 245462 247776 250357 259184 260736 263192 264768 267526 267534 270048 271208 274224 276256 280528 289072 291582 296091 299264 305109 305744 309952 310788 312123 315056 315594 319928 325206 330368 336672 340179 343962 348696 353024 354438 356712 358848 359919 360064 362586 365632 368193 371664 384768 388776 391104 394788 397152 401289 405072 406812 411336 414384 416164 420792 431027 433608 448896 453572 453888 458616 460586 464928 467712 469771 472584 475616 478464 479892 483448 490924 495552 500714 508457 518368 521472 526384 529536 535052 535068 540096 542416 543879 548448 552512 554161 561056 578144 583164 592182 610218 611488 619904 621576 624246 630112 631188 639856 650412 660736 673344 680358 687924 690879 697392 708876 713424 717696 719838 720128 725172 731264 736386 743328 751071 777552 782208 789576 794304 802578 810144 813624 822672 828768 832328 841584 862054 867216 897792 907144 917232 921172 929856 936369 939542 945168 951232 954071 959784 966896 981848 991104 1001428 1016914 1020537 1036736 1052768 1059072 1070104 1070136 1080192 1084832 1087758 1096896 1104579 1105024 1108322 1122112 1156288 1166328 1184364 1203867 1220436 1222976 1239808 1243152 1248492 1260224 1262376 1279712 1293081 1300824 1346688 1360716 1375848 1381758 1394784 1409313 1417752 1426848 1435392 1439676 1441711 1450344 1462528 1472772 1486656 1502142 1525371 1555104 1564416 1579152 1588608 1605156 1620288 1627248 1645344 1657536 1662483 1664656 1683168 1700701 1724108 1734432 1752499 1814288 1834464 1842344 1859712 1872738 1879084 1890336 1902464 1908142 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35537236608 35786150442 36354184576 37461418624 37878012672 38040718912 40898457648 41460109376 42144095952 42795808776 44191014784 46642623048 47222961408 47714867256 48164681088 48909495744 49418969658 49714891632 51467721984 53305854912 54531276864 56192127936 56817019008 57061078368 57655464601 62190164064 63619823008 65212660992 65891959544 66286522176 71074473216 71572300884 72708369152 74128454487 74922837248 76081437824 81796915296 82920218752 84288191904 85591617552 88382029568 93285246096 95429734512 96329362176 97818991488 98837939316 99429783264 106611709824 109062553728 112384255872 113634038016 114122156736 115310929202 124380328128 127239646016 131783919088 132573044352 143144601768 148256908974 152162875648 163593830592 165840437504 168576383808 171183235104 172966393803 186570492192 190859469024 195637982976 197675878632 198859566528 213223419648 218125107456 224768511744 228244313472 230621858404 248760656256 254479292032 263567838176 265146088704 286289203536 296513817948 327187661184 337152767616 342366470208 345932787606 373140984384 381718938048 395351757264 397719133056 456488626944 461243716808 497521312512 508958584064 518899181409 527135676352 572578407072 593027635896 654375322368 674305535232 684732940416 691865575212 746281968768 763437876096 790703514528 795438266112 922487433616 1037798362818 1054271352704 1145156814144 1186055271792 1369465880832 1383731150424 1492563937536 1526875752192 1581407029056 1844974867232 2075596725636 2108542705408 2290313628288 2372110543584 2767462300848 3162814058112 3689949734464 4151193451272 4580627256576 4744221087168 5534924601696 6325628116224 7379899468928 8302386902544 9488442174336 11069849203392 14759798937856 16604773805088 18976884348672 22139698406784 33209547610176 44279396813568 66419095220352 132838190440704
- Sum of all divisors σ(n): 467755121433600
- Sum of proper divisors (its aliquot sum) s(n): 334916930992896
- 132838190440704 is an abundant number, because the sum of its proper divisors (334916930992896) is greater than itself. Its abundance is 202078740552192
Bases of 132838190440704
- Binary: 111100011010000110011010010011101100001000000002
- Hexadecimal: 0x78D0CD276100
- Base-36: 1B350ST340
Squares and roots of 132838190440704
- 132838190440704 squared (1328381904407042) is 17645984839560743565740015616
- 132838190440704 cubed (1328381904407043) is 2344060694631345673060827617397062882033664
-
The
square root of 132838190440704 is 11525545.1255332821 -
The
cube root of 132838190440704 is 51023.9782722561
Scales and comparisons
How big is 132838190440704?- 132,838,190,440,704 seconds is equal to 4,223,843 years, 29 weeks, 1 day, 38 minutes, 24 seconds.
-
To count from 1 to 132,838,190,440,704 would take you about ten million, five hundred fifty-nine thousand, six hundred eight 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 132838190440704 cubic inches would be around 4252 feet tall.
Recreational maths with 132838190440704
- 132838190440704 backwards is 407044091838231
- The number of decimal digits it has is: 15
- The sum of 132838190440704's digits is 54
- More coming soon!
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"Number 132838190440704 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 132838190440704 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/132838190440704/
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The information we have on file for 132838190440704 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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