132784438086144
132,784,438,086,144 is an even composite number composed of five prime numbers multiplied together.
132784438086144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 132784438086144:
29 × 32 × 13 × 234 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 23 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 132784438086144 from the Numbermatics database.
Names of 132784438086144
- Cardinal: 132784438086144 can be written as One hundred thirty-two trillion, seven hundred eighty-four billion, four hundred thirty-eight million, eighty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.32784438086144 × 1014
Factors of 132784438086144
Divisors of 132784438086144
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 89 92 96 104 117 128 138 144 156 178 184 192 207 208 234 256 267 276 288 299 312 356 368 384 414 416 468 512 529 534 552 576 598 624 712 736 768 801 828 832 897 936 1058 1068 1104 1152 1157 1196 1248 1424 1472 1536 1587 1602 1656 1664 1794 1872 2047 2116 2136 2208 2304 2314 2392 2496 2691 2848 2944 3174 3204 3312 3328 3471 3588 3744 4094 4232 4272 4416 4608 4628 4761 4784 4992 5382 5696 5888 6141 6348 6408 6624 6656 6877 6942 7176 7488 7921 8188 8464 8544 8832 9256 9522 9568 9984 10413 10764 11392 11776 12167 12282 12696 12816 13248 13754 13884 14352 14976 15842 16376 16928 17088 17664 18423 18512 19044 19136 19968 20631 20826 21528 22784 23763 24334 24564 25392 25632 26496 26611 27508 27768 28704 29952 31684 32752 33856 34176 35328 36501 36846 37024 38088 38272 41262 41652 43056 45568 47081 47526 48668 49128 50784 51264 52992 53222 55016 55536 57408 59904 61893 63368 65504 67712 68352 71289 73002 73692 74048 76176 76544 79833 82524 83304 86112 94162 95052 97336 98256 101568 102528 102973 105984 106444 109503 110032 111072 114816 123786 126736 131008 135424 136704 141243 142578 146004 147384 148096 152352 153088 158171 159666 165048 166608 172224 182183 188324 190104 194672 196512 203136 205056 205946 212888 219006 220064 222144 229632 239499 247572 253472 262016 270848 279841 282486 285156 292008 294768 296192 304704 308919 316342 319332 330096 333216 344448 364366 376648 380208 389344 393024 406272 410112 411892 423729 425776 438012 440128 444288 459264 474513 478998 495144 506944 524032 546549 559682 564972 570312 584016 589536 592384 609408 612053 617838 632684 638664 660192 666432 688896 728732 753296 760416 778688 786048 812544 823784 839523 847458 851552 876024 880256 888576 926757 949026 957996 990288 1013888 1048064 1082863 1093098 1119364 1129944 1140624 1168032 1179072 1218816 1224106 1235676 1265368 1277328 1320384 1332864 1377792 1423539 1457464 1506592 1520832 1557376 1572096 1639647 1647568 1679046 1694916 1703104 1752048 1760512 1777152 1836159 1853514 1898052 1915992 1980576 2027776 2165726 2186196 2238728 2259888 2281248 2336064 2358144 2368379 2437632 2448212 2471352 2518569 2530736 2554656 2640768 2665728 2847078 2914928 3013184 3041664 3114752 3144192 3248589 3279294 3295136 3358092 3389832 3406208 3504096 3521024 3637933 3672318 3707028 3796104 3831984 3961152 4055552 4190209 4331452 4372392 4477456 4519776 4562496 4672128 4716288 4736758 4896424 4942704 5037138 5061472 5109312 5281536 5331456 5508477 5694156 5829856 6026368 6083328 6229504 6497178 6558588 6590272 6716184 6779664 6812416 7008192 7105137 7275866 7344636 7414056 7592208 7663968 7922304 8380418 8662904 8744784 8954912 9039552 9124992 9344256 9432576 9473516 9745767 9792848 9885408 10074276 10122944 10218624 10563072 10913799 11016954 11388312 11659712 12052736 12166656 12570627 12994356 13117176 13180544 13432368 13559328 13624832 14016384 14077219 14210274 14551732 14689272 14828112 15184416 15327936 15844608 16760836 17325808 17489568 17909824 18079104 18249984 18688512 18947032 19491534 19585696 19770816 20148552 20245888 20437248 21315411 21827598 22033908 22776624 23319424 24105472 24905849 25141254 25988712 26234352 26361088 26864736 27118656 28032768 28154438 28420548 29103464 29378544 29656224 30368832 30655872 31689216 32741397 33521672 34651616 34979136 35819648 36158208 36499968 37711881 37894064 38983068 39171392 39541632 40297104 40491776 40874496 42231657 42630822 43655196 44067816 45553248 46638848 49811698 50282508 51977424 52468704 52722176 53729472 54237312 54472717 56065536 56308876 56841096 58206928 58757088 59312448 60737664 61311744 65482794 67043344 69303232 69958272 71639296 72316416 74717547 75423762 75788128 77966136 78342784 79083264 80594208 80983552 84463314 85261644 87310392 88135632 91106496 93277696 96374807 99623396 100565016 103954848 104937408 107458944 108474624 108945434 112617752 113682192 116413856 117514176 118624896 121475328 122623488 126694971 130965588 134086688 138606464 139916544 143278592 149435094 150847524 151576256 155932272 156685568 158166528 161188416 163418151 168926628 170523288 174620784 176271264 182212992 192749614 199246792 201130032 207909696 209874816 214917888 216949248 217890868 224152641 225235504 227364384 232827712 235028352 237249792 242950656 253389942 261931176 268173376 277212928 279833088 289124421 298870188 301695048 303152512 311864544 313371136 322376832 323776037 326836302 337853256 341046576 349241568 352542528 364425984 385499228 398493584 402260064 415819392 419749632 429835776 435781736 448305282 450471008 454728768 465655424 470056704 474499584 490254453 506779884 523862352 536346752 554425856 578248842 597740376 603390096 606305024 623729088 644753664 647552074 653672604 675706512 682093152 698483136 705085056 728851968 770998456 796987168 804520128 831638784 839499264 867373263 871563472 896610564 900942016 909457536 931310848 940113408 971328111 980508906 1013559768 1047724704 1072693504 1156497684 1195480752 1206780192 1212610048 1247458176 1252872491 1289507328 1295104148 1307345208 1351413024 1364186304 1396966272 1410170112 1541996912 1593974336 1609040256 1663277568 1734746526 1743126944 1793221128 1801884032 1818915072 1862621696 1942656222 1961017812 2027119536 2095449408 2145387008 2216620561 2312995368 2390961504 2413560384 2494916352 2505744982 2590208296 2614690416 2702826048 2728372608 2793932544 2820340224 2913984333 3083993824 3187948672 3218080512 3469493052 3486253888 3586442256 3603768064 3637830144 3758617473 3885312444 3922035624 4054239072 4190898816 4433241122 4625990736 4781923008 4827120768 4989832704 5011489964 5180416592 5229380832 5405652096 5456745216 5587865088 5827968666 6167987648 6375897344 6436161024 6649861683 6938986104 6972507776 7172884512 7207536128 7517234946 7770624888 7844071248 8108478144 8381797632 8866482244 9251981472 9563846016 9654241536 10022979928 10360833184 10458761664 10811304192 10913490432 11275852419 11655937332 12335975296 12751794688 13299723366 13877972208 13945015552 14345769024 15034469892 15541249776 15688142496 16216956288 16763595264 17732964488 18503962944 19127692032 19308483072 19949585049 20045959856 20721666368 20917523328 21622608384 22551704838 23311874664 24671950592 26599446732 27755944416 27890031104 28691538048 28816067293 30068939784 31082499552 31376284992 32433912576 35465928976 37007925888 38255384064 39899170098 40091919712 41443332736 41835046656 45103409676 46623749328 49343901184 53198893464 55511888832 57383076096 57632134586 60137879568 62164999104 62752569984 64867825152 70931857952 74015851776 79798340196 80183839424 82886665472 83670093312 86448201879 90206819352 93247498656 106397786928 111023777664 114766152192 115264269172 120275759136 124329998208 125505139968 141863715904 148031703552 159596680392 160367678848 165773330944 172896403758 180413638704 186494997312 212795573856 222047555328 230528538344 240551518272 248659996416 251010279936 259344605637 283727431808 319193360784 320735357696 345792807516 360827277408 372989994624 425591147712 444095110656 461057076688 481103036544 497319992832 518689211274 567454863616 638386721568 641470715392 691585615032 721654554816 745979989248 851182295424 922114153376 962206073088 1037378422548 1134909727232 1276773443136 1383171230064 1443309109632 1491959978496 1702364590848 1844228306752 1924412146176 2074756845096 2553546886272 2766342460128 2886618219264 3404729181696 3688456613504 4149513690192 5107093772544 5532684920256 5773236438528 7376913227008 8299027380384 10214187545088 11065369840512 14753826454016 16598054760768 22130739681024 33196109521536 44261479362048 66392219043072 132784438086144
- Sum of all divisors σ(n): 436365277153806
- Sum of proper divisors (its aliquot sum) s(n): 303580839067662
- 132784438086144 is an abundant number, because the sum of its proper divisors (303580839067662) is greater than itself. Its abundance is 170796400981518
Bases of 132784438086144
- Binary: 111100011000100010010010100001110001010000000002
- Hexadecimal: 0x78C449438A00
- Base-36: 1B2GBU1KW0
Squares and roots of 132784438086144
- 132784438086144 squared (1327844380861442) is 17631706997853009261564788736
- 132784438086144 cubed (1327844380861443) is 2341216306209444809028725102726727528873984
-
The
square root of 132784438086144 is 11523213.0105341715 -
The
cube root of 132784438086144 is 51017.0951387737
Scales and comparisons
How big is 132784438086144?- 132,784,438,086,144 seconds is equal to 4,222,134 years, 20 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 132,784,438,086,144 would take you about ten million, five hundred fifty-five thousand, three hundred thirty-six 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 132784438086144 cubic inches would be around 4251.4 feet tall.
Recreational maths with 132784438086144
- 132784438086144 backwards is 441680834487231
- The number of decimal digits it has is: 15
- The sum of 132784438086144's digits is 63
- More coming soon!
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The information we have on file for 132784438086144 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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