132330038400
132,330,038,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132330038400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
132330038400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 132330038400:
27 × 32 × 52 × 7 × 67 × 97 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 67 × 97 × 101)See below for interesting mathematical facts about the number 132330038400 from the Numbermatics database.
Names of 132330038400
- Cardinal: 132330038400 can be written as One hundred thirty-two billion, three hundred thirty million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.323300384 × 1011
Factors of 132330038400
Divisors of 132330038400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 67 70 72 75 80 84 90 96 97 100 101 105 112 120 126 128 134 140 144 150 160 168 175 180 192 194 200 201 202 210 224 225 240 252 268 280 288 291 300 303 315 320 335 336 350 360 384 388 400 402 404 420 448 450 469 480 485 504 505 525 536 560 576 582 600 603 606 630 640 670 672 679 700 707 720 776 800 804 808 840 873 896 900 909 938 960 970 1005 1008 1010 1050 1072 1120 1152 1164 1200 1206 1212 1260 1340 1344 1358 1400 1407 1414 1440 1455 1515 1552 1575 1600 1608 1616 1675 1680 1746 1800 1818 1876 1920 1940 2010 2016 2020 2037 2100 2121 2144 2240 2328 2345 2400 2412 2424 2425 2520 2525 2680 2688 2716 2800 2814 2828 2880 2910 3015 3030 3104 3150 3200 3216 3232 3350 3360 3395 3492 3535 3600 3636 3752 3880 4020 4032 4040 4074 4200 4221 4242 4288 4365 4480 4545 4656 4690 4800 4824 4848 4850 5025 5040 5050 5360 5432 5600 5628 5656 5760 5820 6030 6060 6111 6208 6300 6363 6432 6464 6499 6700 6720 6767 6790 6984 7035 7070 7200 7272 7275 7504 7575 7760 8040 8064 8080 8148 8400 8442 8484 8576 8730 9090 9312 9380 9600 9648 9696 9700 9797 10050 10080 10100 10185 10605 10720 10864 11200 11256 11312 11640 11725 12060 12120 12222 12416 12600 12726 12864 12928 12998 13400 13440 13534 13580 13968 14070 14140 14400 14544 14550 15008 15075 15150 15520 16080 16160 16296 16800 16884 16968 16975 17460 17675 18180 18624 18760 19296 19392 19400 19497 19594 20100 20160 20200 20301 20370 21105 21210 21440 21728 21825 22400 22512 22624 22725 23280 23450 24120 24240 24444 25200 25452 25728 25996 26800 27068 27160 27936 28140 28280 28800 29088 29100 29391 30016 30150 30300 30555 31040 31815 32160 32320 32495 32592 33600 33768 33835 33936 33950 34920 35175 35350 36360 37248 37520 38592 38784 38800 38994 39188 40200 40320 40400 40602 40740 42210 42420 42880 43456 43650 45024 45248 45450 45493 46560 46900 47369 48240 48480 48888 48985 50400 50904 50925 51992 53025 53600 54136 54320 55872 56280 56560 58176 58200 58491 58782 60032 60300 60600 60903 61110 62080 63630 64320 64640 64990 65184 67200 67536 67670 67872 67900 68579 69840 70350 70700 72720 75040 77184 77600 77988 78376 80400 80800 81204 81480 84420 84840 86912 87300 88173 90048 90496 90900 90986 93120 93800 94738 96480 96960 97485 97776 97970 100800 101505 101808 101850 103984 105525 106050 107200 108272 108640 111744 112560 113120 116352 116400 116982 117564 120600 121200 121806 122220 127260 128640 129980 130368 135072 135340 135744 135800 136479 137158 139680 140700 141400 142107 145440 146955 150080 152775 155200 155976 156752 159075 160800 161600 162408 162475 162960 168840 169175 169680 174600 176346 180096 181800 181972 186240 187600 189476 192960 193920 194970 195552 195940 201600 203010 203616 203700 205737 207968 211050 212100 214400 216544 217280 225120 226240 227465 232800 233964 235128 236845 241200 242400 243612 244440 244925 254520 259960 260736 270144 270680 271488 271600 272958 274316 279360 281400 282800 284214 290880 292455 293910 300160 304515 305550 310400 311952 313504 318150 321600 323200 324816 324950 325920 337680 338350 339360 342895 349200 352692 363600 363944 375200 378952 385920 389940 391104 391880 406020 407232 407400 409437 411474 415936 422100 424200 426321 433088 434560 440865 450240 452480 454930 465600 467928 470256 473690 482400 484800 487224 487425 488880 489850 507525 509040 519920 540288 541360 543200 545916 548632 558720 562800 565600 568428 581760 584910 587820 609030 611100 617211 623904 627008 636300 643200 649632 649900 651840 656399 675360 676700 678720 682395 685790 698400 705384 710535 727200 727888 734775 750400 757904 779880 782208 783760 812040 814464 814800 818874 822948 831872 844200 848400 852642 866176 881730 900480 909860 931200 935856 940512 947380 964800 969600 974448 974850 977760 979700 1015050 1018080 1028685 1039840 1082720 1086400 1091832 1097264 1125600 1131200 1136856 1137325 1169820 1175640 1184225 1218060 1222200 1234422 1247808 1254016 1272600 1299264 1299800 1303680 1312798 1350720 1353400 1357440 1364790 1371580 1396800 1410768 1421070 1454400 1455776 1462275 1469550 1500800 1515808 1522575 1559760 1567520 1624080 1629600 1637748 1645896 1688400 1696800 1705284 1714475 1763460 1819720 1871712 1881024 1894760 1929600 1948896 1949700 1955520 1959400 1969197 2030100 2036160 2047185 2057370 2079680 2131605 2165440 2172800 2183664 2194528 2204325 2251200 2262400 2273712 2274650 2339640 2351280 2368450 2436120 2444400 2468844 2495616 2545200 2598528 2599600 2625596 2701440 2706800 2729580 2743160 2793600 2821536 2842140 2908800 2911552 2924550 2939100 3031616 3045150 3086055 3119520 3135040 3248160 3259200 3275496 3281995 3291792 3376800 3393600 3410568 3411975 3428950 3526920 3552675 3639440 3743424 3762048 3789520 3897792 3899400 3911040 3918800 3938394 4060200 4072320 4094370 4114740 4159360 4263210 4330880 4367328 4389056 4408650 4502400 4547424 4549300 4594793 4679280 4702560 4736900 4872240 4888800 4937688 5090400 5143425 5199200 5251192 5413600 5459160 5486320 5643072 5684280 5823104 5849100 5878200 5907591 6063232 6090300 6172110 6239040 6270080 6496320 6518400 6550992 6563990 6583584 6753600 6787200 6821136 6823950 6857900 7053840 7105350 7278880 7486848 7579040 7795584 7798800 7837600 7876788 8120400 8188740 8229480 8526420 8734656 8778112 8817300 9094848 9098600 9189586 9358560 9405120 9473800 9744480 9777600 9845985 9875376 10180800 10235925 10286850 10398400 10502384 10658025 10827200 10918320 10972640 11286144 11368560 11698200 11756400 11815182 12180600 12344220 12478080 12992640 13101984 13127980 13167168 13507200 13642272 13647900 13715800 13784379 14107680 14210700 14557760 15158080 15430275 15597600 15675200 15753576 16240800 16377480 16409975 16458960 17052840 17469312 17634600 18189696 18197200 18379172 18717120 18810240 18947600 19488960 19555200 19691970 19750752 20361600 20471850 20573700 20796800 21004768 21316050 21654400 21836640 21945280 22737120 22973965 23396400 23512800 23630364 24361200 24688440 26203968 26255960 26334336 27284544 27295800 27431600 27568758 28215360 28421400 29115520 29537955 30316160 30860550 31195200 31350400 31507152 32481600 32754960 32819950 32917920 34105680 35269200 36394400 36758344 37434240 37895200 38977920 39383940 39501504 40943700 41147400 41353137 42009536 42632100 43673280 43890560 45474240 45947930 46792800 47025600 47260728 48722400 49229925 49376880 52407936 52511920 54569088 54591600 54863200 55137516 56430720 56842800 59075910 61721100 62390400 63014304 64963200 65509920 65639900 65835840 68211360 68921895 70538400 72788800 73516688 75790400 78767880 79003008 81887400 82294800 82706274 84019072 85264200 87346560 90948480 91895860 93585600 94051200 94521456 97444800 98459850 98753760 105023840 109183200 109726400 110275032 113685600 114869825 118151820 123442200 126028608 131019840 131279800 131671680 136422720 137843790 141076800 145577600 147033376 147689775 151580800 157535760 163774800 164589600 165412548 170528400 183791720 187171200 189042912 194889600 196919700 197507520 206765685 210047680 218366400 219452800 220550064 227371200 229739650 236303640 246884400 252057216 262039680 262559600 272845440 275687580 282153600 294066752 295379550 315071520 327549600 329179200 330825096 341056800 344609475 367583440 378085824 393839400 395015040 413531370 420095360 436732800 441100128 454742400 459479300 472607280 493768800 525119200 551375160 588133504 590759100 630143040 655099200 658358400 661650192 682113600 689218950 735166880 756171648 787678800 827062740 882200256 918958600 945214560 987537600 1033828425 1050238400 1102750320 1181518200 1260286080 1310198400 1323300384 1364227200 1378437900 1470333760 1575357600 1654125480 1764400512 1837917200 1890429120 1975075200 2067656850 2100476800 2205500640 2363036400 2646600768 2756875800 2940667520 3150715200 3308250960 3675834400 3780858240 4135313700 4411001280 4726072800 5293201536 5513751600 6301430400 6616501920 7351668800 8270627400 8822002560 9452145600 11027503200 13233003840 14703337600 16541254800 18904291200 22055006400 26466007680 33082509600 44110012800 66165019200 132330038400
- Sum of all divisors σ(n): 558817983360
- Sum of proper divisors (its aliquot sum) s(n): 426487944960
- 132330038400 is an abundant number, because the sum of its proper divisors (426487944960) is greater than itself. Its abundance is 294157906560
Bases of 132330038400
- Binary: 11110110011110111110000100100100000002
- Hexadecimal: 0x1ECF7C2480
- Base-36: 1OSHVZ40
Squares and roots of 132330038400
- 132330038400 squared (1323300384002) is 17511239062945474560000
- 132330038400 cubed (1323300384003) is 2317262937631154665631023104000000
-
The
square root of 132330038400 is 363771.9593371649 -
The
cube root of 132330038400 is 5095.8833677541
Scales and comparisons
How big is 132330038400?- 132,330,038,400 seconds is equal to 4,207 years, 35 weeks, 4 days, 16 hours.
-
To count from 1 to 132,330,038,400 would take you about eight thousand, four hundred fifteen 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 132330038400 cubic inches would be around 424.7 feet tall.
Recreational maths with 132330038400
- 132330038400 backwards is 004830033231
- The number of decimal digits it has is: 12
- The sum of 132330038400's digits is 27
- More coming soon!
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The information we have on file for 132330038400 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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