132735970914624
132,735,970,914,624 is an even composite number composed of seven prime numbers multiplied together.
132735970914624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 132735970914624:
26 × 34 × 7 × 11 × 53 × 1272 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 53 × 127 × 127 × 389)See below for interesting mathematical facts about the number 132735970914624 from the Numbermatics database.
Names of 132735970914624
- Cardinal: 132735970914624 can be written as One hundred thirty-two trillion, seven hundred thirty-five billion, nine hundred seventy million, nine hundred fourteen thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.32735970914624 × 1014
Factors of 132735970914624
Divisors of 132735970914624
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 53 54 56 63 64 66 72 77 81 84 88 96 99 106 108 112 126 127 132 144 154 159 162 168 176 189 192 198 212 216 224 231 252 254 264 288 297 308 318 324 336 352 371 378 381 389 396 424 432 448 462 477 504 508 528 567 576 583 594 616 636 648 672 693 704 742 756 762 778 792 848 864 889 891 924 954 1008 1016 1056 1113 1134 1143 1166 1167 1188 1232 1272 1296 1344 1386 1397 1431 1484 1512 1524 1556 1584 1696 1728 1749 1778 1782 1848 1908 2016 2032 2079 2112 2226 2268 2286 2332 2334 2376 2464 2544 2592 2667 2723 2772 2794 2862 2968 3024 3048 3112 3168 3339 3392 3429 3498 3501 3556 3564 3696 3816 4032 4064 4081 4158 4191 4279 4293 4452 4536 4572 4664 4668 4752 4928 5088 5184 5247 5334 5446 5544 5588 5724 5936 6048 6096 6224 6237 6336 6678 6731 6858 6996 7002 7112 7128 7392 7632 8001 8128 8162 8169 8316 8382 8558 8586 8904 9072 9144 9328 9336 9504 9779 10017 10176 10287 10494 10503 10668 10892 11088 11176 11448 11872 12096 12192 12243 12448 12474 12573 12837 13356 13462 13716 13992 14004 14224 14256 14784 15264 15741 16002 16129 16324 16338 16632 16764 17116 17172 17808 18144 18288 18656 18672 19008 19558 20034 20193 20574 20617 20988 21006 21336 21784 22176 22352 22896 23744 24003 24384 24486 24507 24896 24948 25146 25674 26712 26924 27432 27984 28008 28448 28512 29337 29953 30051 30528 31482 31509 32004 32258 32648 32676 33264 33528 34232 34344 35616 36288 36576 36729 37312 37344 37719 38511 39116 40068 40386 41148 41234 41976 42012 42672 43568 44352 44704 45792 47117 47223 48006 48387 48972 49014 49403 49896 50292 51348 53424 53848 54864 55968 56016 56896 57024 58674 59906 60102 60579 61851 62964 63018 64008 64516 65296 65352 66528 67056 68464 68688 71232 72009 73152 73458 73521 74041 74688 75438 77022 78232 80136 80772 82296 82468 83952 84024 85344 87136 88011 89408 89859 91584 94234 94446 96012 96774 97944 98028 98806 99792 100584 102696 106848 107696 109728 110187 111936 112032 112903 113157 115533 117348 119812 120204 121158 123702 125928 126036 128016 129032 130592 130704 133056 134112 136928 137376 141351 144018 144319 145161 146916 147042 148082 148209 150876 154044 156464 160272 161544 164592 164936 167904 168048 170688 174272 176022 177419 179718 181737 185553 188468 188892 192024 193548 195888 196056 197612 199584 201168 205392 213696 215392 219456 220374 220563 222123 224064 225806 226314 226787 231066 234696 239624 240408 242316 247404 251856 252072 256032 258064 261184 261408 264033 268224 269577 273856 274752 282702 288036 288638 290322 293832 294084 296164 296418 301752 308088 312928 320544 323088 329184 329872 330561 335808 336096 338709 345821 346599 352044 354838 359436 363474 371106 376936 377784 384048 387096 391776 392112 395224 399168 402336 410784 424053 430784 432957 435483 440748 441126 444246 444627 451612 452628 453574 462132 469392 479248 480816 484632 494808 503712 504144 512064 516128 518287 522816 528066 532257 539154 543433 545211 556659 565404 576072 577276 580644 587664 588168 592328 592836 603504 616176 625856 641088 646176 658368 659744 661122 666369 672192 677418 680361 691642 693198 704088 709676 718872 726948 742212 753872 755568 768096 774192 783552 784224 790448 792099 804672 808731 821568 848106 854837 865914 870966 881496 882252 888492 889254 903224 905256 907148 924264 938784 958496 961632 969264 989616 1007424 1008288 1016127 1032256 1036574 1037463 1056132 1064514 1078308 1086866 1090422 1113318 1130808 1152144 1154552 1161288 1175328 1176336 1184656 1185672 1207008 1232352 1241933 1272159 1292352 1298871 1306449 1319488 1322244 1332738 1333881 1354836 1360722 1383284 1386396 1408176 1419352 1437744 1453896 1484424 1507744 1511136 1536192 1548384 1554861 1568448 1580896 1584198 1587509 1596771 1617462 1630299 1669977 1696212 1709674 1731828 1741932 1762992 1764504 1776984 1778508 1806448 1810512 1814296 1848528 1877568 1916992 1923264 1938528 1979232 1999107 2016576 2032254 2041083 2073148 2074926 2112264 2129028 2156616 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1579738776 1581093612 1609545168 1612909144 1643341392 1656383784 1696696632 1723351392 1759537248 1777206123 1792736064 1805415744 1806964128 1814522787 1843324736 1863431757 1932447748 1938770316 1979479404 1995189558 2031092712 2032834644 2057411664 2073740328 2106318368 2108124816 2146060224 2191121856 2208511712 2215737504 2262262176 2327721151 2332957869 2369608164 2371640418 2419363716 2465012088 2484575676 2585027088 2639305872 2660252744 2686799808 2708123616 2710446192 2743215552 2764987104 2810833088 2817156672 2898671622 2969219106 2992784337 3046639068 3110610492 3159477552 3162187224 3219090336 3225818288 3286682784 3312767568 3393393264 3446702784 3519074496 3554412246 3557460627 3613928256 3629045574 3657847523 3726863514 3864895496 3877540632 3958958808 3990379116 4062185424 4065669288 4114823328 4147480656 4212636736 4216249632 4348007433 4417023424 4431475008 4524524352 4655442302 4665915738 4739216328 4743280836 4838727432 4930024176 4969151352 5170054176 5278611744 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21326473476 21774273444 21947085138 22361181084 23189372976 23753752848 23942274696 24373112544 24884883936 25297497792 25604932661 26088044598 26935059033 27932653812 28435297968 28459685016 29032364592 29262780184 29814908112 30919163968 31020325056 31671670464 31923032928 32525354304 32661410166 32920627707 34784059464 35913412044 37243538416 37327325904 37913730624 37946246688 38709819456 39132066897 39753210816 41898980718 42652946952 43548546888 43894170276 44722362168 46378745952 47507505696 47884549392 48746225088 49769767872 51209865322 52176089196 53870118066 55865307624 56870595936 56919370032 58064729184 58525560368 59629816224 62848471077 63846065856 65322820332 65841255414 69568118928 71826824088 74487076832 74654651808 75892493376 76814797983 78264133794 83797961436 85305893904 87097093776 87788340552 89444724336 92757491904 95015011392 95769098784 98761883121 102419730644 104352178392 107740236132 111730615248 113741191872 113838740064 116129458368 117051120736 119259632448 125696942154 130645640664 131682510828 139136237856 143653648176 148974153664 149309303616 153629595966 156528267588 167595922872 170611787808 174194187552 175576681104 178889448672 188545413231 191538197568 197523766242 204839461288 208704356784 215480472264 223461230496 227677480128 230444393949 234102241472 251393884308 261291281328 263365021656 278272475712 287307296352 296285649363 307259191932 313056535176 335191845744 341223575616 348388375104 351153362208 357778897344 377090826462 395047532484 409678922576 417408713568 430960944528 446922460992 460888787898 502787768616 522582562656 526730043312 574614592704 592571298726 614518383864 626113070352 670383691488 691333181847 702306724416 754181652924 790095064968 819357845152 834817427136 861921889056 921777575796 1005575537232 1045165125312 1053460086624 1185142597452 1229036767728 1252226140704 1340767382976 1382666363694 1508363305848 1580190129936 1638715690304 1723843778112 1843555151592 2011151074464 2073999545541 2106920173248 2370285194904 2458073535456 2504452281408 2765332727388 3016726611696 3160380259872 3687110303184 4022302148928 4147999091082 4740570389808 4916147070912 5530665454776 6033453223392 6320760519744 7374220606368 8295998182164 9481140779616 11061330909552 12066906446784 14748441212736 16591996364328 18962281559232 22122661819104 33183992728656 44245323638208 66367985457312 132735970914624
- Sum of all divisors σ(n): 505078749901440
- Sum of proper divisors (its aliquot sum) s(n): 372342778986816
- 132735970914624 is an abundant number, because the sum of its proper divisors (372342778986816) is greater than itself. Its abundance is 239606808072192
Bases of 132735970914624
- Binary: 111100010111001000000000110010100110001010000002
- Hexadecimal: 0x78B900653140
- Base-36: 1B1U29XW00
Squares and roots of 132735970914624
- 132735970914624 squared (1327359709146242) is 17618837974647908487097061376
- 132735970914624 cubed (1327359709146243) is 2338653564952337605230429577995557383962624
-
The
square root of 132735970914624 is 11521109.7952681625 -
The
cube root of 132735970914624 is 51010.8871944239
Scales and comparisons
How big is 132735970914624?- 132,735,970,914,624 seconds is equal to 4,220,593 years, 15 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 132,735,970,914,624 would take you about ten million, five hundred fifty-one thousand, four hundred eighty-three 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 132735970914624 cubic inches would be around 4250.9 feet tall.
Recreational maths with 132735970914624
- 132735970914624 backwards is 426419079537231
- 132735970914624 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132735970914624's digits is 63
- More coming soon!
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"Number 132735970914624 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 132735970914624 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/132735970914624/
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The information we have on file for 132735970914624 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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