132974946712320
132,974,946,712,320 is an even composite number composed of five prime numbers multiplied together.
132974946712320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132974946712320:
28 × 3 × 5 × 175 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 17 × 17 × 17 × 17 × 29 × 29 × 29)See below for interesting mathematical facts about the number 132974946712320 from the Numbermatics database.
Names of 132974946712320
- Cardinal: 132974946712320 can be written as One hundred thirty-two trillion, nine hundred seventy-four billion, nine hundred forty-six million, seven hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3297494671232 × 1014
Factors of 132974946712320
Divisors of 132974946712320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 32 34 40 48 51 58 60 64 68 80 85 87 96 102 116 120 128 136 145 160 170 174 192 204 232 240 255 256 272 289 290 320 340 348 384 408 435 464 480 493 510 544 578 580 640 680 696 768 816 841 867 870 928 960 986 1020 1088 1156 1160 1280 1360 1392 1445 1479 1632 1682 1734 1740 1856 1920 1972 2040 2176 2312 2320 2465 2523 2720 2784 2890 2958 3264 3364 3468 3480 3712 3840 3944 4080 4205 4335 4352 4624 4640 4913 4930 5046 5440 5568 5780 5916 6528 6728 6936 6960 7395 7424 7888 8160 8381 8410 8670 9248 9280 9826 9860 10092 10880 11136 11560 11832 12615 13056 13456 13872 13920 14297 14739 14790 15776 16320 16762 16820 17340 18496 18560 19652 19720 20184 21760 22272 23120 23664 24389 24565 25143 25230 26912 27744 27840 28594 29478 29580 31552 32640 33524 33640 34680 36992 37120 39304 39440 40368 41905 42891 46240 47328 48778 49130 50286 50460 53824 55488 55680 57188 58956 59160 63104 65280 67048 67280 69360 71485 73167 73695 73984 78608 78880 80736 83521 83810 85782 92480 94656 97556 98260 100572 100920 107648 110976 111360 114376 117912 118320 121945 125715 126208 134096 134560 138720 142477 142970 146334 147390 157216 157760 161472 167042 167620 171564 184960 189312 195112 196520 201144 201840 214455 215296 221952 228752 235824 236640 243049 243890 250563 251430 268192 269120 277440 284954 285940 292668 294780 314432 315520 322944 334084 335240 343128 365835 369920 378624 390224 393040 402288 403680 414613 417605 427431 428910 457504 471648 473280 486098 487780 501126 502860 536384 538240 554880 569908 571880 585336 589560 628864 631040 645888 668168 670480 686256 712385 729147 731670 780448 786080 804576 807360 829226 835210 854862 857820 915008 943296 946560 972196 975560 1002252 1005720 1072768 1076480 1109760 1139816 1143760 1170672 1179120 1215245 1243839 1252815 1257728 1336336 1340960 1372512 1419857 1424770 1458294 1463340 1560896 1572160 1609152 1614720 1658452 1670420 1709724 1715640 1830016 1886592 1893120 1944392 1951120 2004504 2011440 2073065 2137155 2145536 2279632 2287520 2341344 2358240 2422109 2430490 2487678 2505630 2672672 2681920 2745024 2839714 2849540 2916588 2926680 3121792 3144320 3218304 3229440 3316904 3340840 3419448 3431280 3645735 3660032 3773184 3888784 3902240 4009008 4022880 4131833 4146130 4259571 4274310 4559264 4575040 4682688 4716480 4844218 4860980 4975356 5011260 5345344 5363840 5490048 5679428 5699080 5833176 5853360 6219195 6243584 6288640 6436608 6633808 6681680 6838896 6862560 7048421 7099285 7266327 7291470 7777568 7804480 8018016 8045760 8263666 8292260 8519142 8548620 9118528 9150080 9365376 9432960 9688436 9721960 9950712 10022520 10690688 10727680 10980096 11358856 11398160 11666352 11706720 12110545 12395499 12438390 13267616 13363360 13677792 13725120 14096842 14198570 14532654 14582940 15555136 15608960 16036032 16091520 16527332 16584520 17038284 17097240 18237056 18300160 18730752 18865920 19376872 19443920 19901424 20045040 20659165 21145263 21297855 21381376 22717712 22796320 23332704 23413440 24221090 24790998 24876780 26535232 26726720 27355584 27450240 28193684 28397140 29065308 29165880 31110272 31217920 32072064 32183040 33054664 33169040 34076568 34194480 35242105 36331635 36474112 38753744 38887840 39802848 40090080 41175853 41318330 42290526 42595710 45435424 45592640 46665408 46826880 48442180 49581996 49753560 53070464 53453440 54711168 54900480 56387368 56794280 58130616 58331760 61977495 62220544 64144128 66109328 66338080 68153136 68388960 70241161 70484210 72663270 77507488 77775680 79605696 80180160 82351706 82636660 84581052 85191420 90870848 91185280 93330816 93653760 96884360 99163992 99507120 105726315 106140928 106906880 109422336 112774736 113588560 116261232 116663520 119823157 123527559 123954990 132218656 132676160 136306272 136777920 140482322 140968420 145326540 155014976 155551360 159211392 160360320 164703412 165273320 169162104 170382840 181741696 182370560 186661632 193768720 198327984 199014240 205879265 210723483 211452630 225549472 227177120 232522464 233327040 239646314 247055118 247909980 264437312 265352320 272612544 273555840 280964644 281936840 290653080 310029952 311102720 318422784 320720640 329406824 330546640 338324208 340765680 351205805 359469471 363483392 387537440 396655968 398028480 411758530 421446966 422905260 451098944 454354240 465044928 466654080 479292628 494110236 495819960 528874624 530704640 545225088 547111680 561929288 563873680 581306160 599115785 617637795 620059904 658813648 661093280 676648416 681531360 702411610 718938942 775074880 793311936 796056960 823517060 842893932 845810520 902197888 908708480 930089856 933308160 958585256 988220472 991639920 1053617415 1057749248 1090450176 1123858576 1127747360 1162612320 1194099737 1198231570 1235275590 1317627296 1322186560 1353296832 1363062720 1404823220 1437877884 1550149760 1586623872 1592113920 1647034120 1685787864 1691621040 1797347355 1804395776 1817416960 1860179712 1917170512 1976440944 1983279840 2036993669 2107234830 2247717152 2255494720 2325224640 2388199474 2396463140 2470551180 2635254592 2644373120 2706593664 2726125440 2809646440 2875755768 3100299520 3173247744 3294068240 3371575728 3383242080 3582299211 3594694710 3834341024 3952881888 3966559680 4073987338 4214469660 4495434304 4510989440 4650449280 4776398948 4792926280 4941102360 5270509184 5288746240 5413187328 5452250880 5619292880 5751511536 5970498685 6110981007 6588136480 6743151456 6766484160 7164598422 7189389420 7668682048 7905763776 7933119360 8147974676 8428939320 8990868608 9021978880 9300898560 9552797896 9585852560 9882204720 10184968345 10541018368 11238585760 11503023072 11940997370 12221962014 13176272960 13486302912 13532968320 14329196844 14378778840 15337364096 15811527552 15866238720 16295949352 16857878640 17911496055 17981737216 19105595792 19171705120 19764409440 20369936690 22477171520 23006046144 23881994740 24443924028 26352545920 26972605824 27065936640 28658393688 28757557680 30554905035 30674728192 31623055104 32591898704 33715757280 34628892373 35822992110 38211191584 38343410240 39528818880 40739873380 44954343040 46012092288 47763989480 48887848056 52705091840 53945211648 57316787376 57515115360 61109810070 65183797408 67431514560 69257784746 71645984220 76422383168 76686820480 79057637760 81479746760 89908686080 92024184576 95527978960 97775696112 103886677119 114633574752 115030230720 122219620140 130367594816 134863029120 138515569492 143291968440 152844766336 153373640960 158115275520 162959493520 173144461865 191055957920 195551392224 207773354238 229267149504 230060461440 244439240280 260735189632 269726058240 277031138984 286583936880 305689532672 325918987040 346288923730 382111915840 391102784448 415546708476 458534299008 460120922880 488878480560 519433385595 521470379264 554062277968 573167873760 651837974080 692577847460 764223831680 782205568896 831093416952 917068598016 977756961120 1038866771190 1108124555936 1146335747520 1303675948160 1385155694920 1528447663360 1564411137792 1662186833904 1955513922240 2077733542380 2216249111872 2292671495040 2607351896320 2770311389840 3324373667808 3911027844480 4155467084760 4432498223744 4585342990080 5540622779680 6648747335616 7822055688960 8310934169520 8864996447488 11081245559360 13297494671232 16621868339040 22162491118720 26594989342464 33243736678080 44324982237440 66487473356160 132974946712320
- Sum of all divisors σ(n): 467346522726720
- Sum of proper divisors (its aliquot sum) s(n): 334371576014400
- 132974946712320 is an abundant number, because the sum of its proper divisors (334371576014400) is greater than itself. Its abundance is 201396629302080
Bases of 132974946712320
- Binary: 111100011110000101001000111011001111011000000002
- Hexadecimal: 0x78F0A4767B00
- Base-36: 1B4VUHYLMO
Squares and roots of 132974946712320
- 132974946712320 squared (1329749467123202) is 17682336453144343576839782400
- 132974946712320 cubed (1329749467123203) is 2351307747606182519639495731946264199168000
-
The
square root of 132974946712320 is 11531476.3457382161 -
The
cube root of 132974946712320 is 51041.4819128961
Scales and comparisons
How big is 132974946712320?- 132,974,946,712,320 seconds is equal to 4,228,191 years, 51 weeks, 2 days, 5 hours, 52 minutes.
-
To count from 1 to 132,974,946,712,320 would take you about ten million, five hundred seventy thousand, four hundred seventy-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 132974946712320 cubic inches would be around 4253.5 feet tall.
Recreational maths with 132974946712320
- 132974946712320 backwards is 023217649479231
- 132974946712320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132974946712320's digits is 60
- More coming soon!
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The information we have on file for 132974946712320 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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