132164624005120
132,164,624,005,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132164624005120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
132164624005120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 132164624005120:
211 × 5 × 7 × 173 × 53 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 17 × 17 × 53 × 73 × 97)See below for interesting mathematical facts about the number 132164624005120 from the Numbermatics database.
Names of 132164624005120
- Cardinal: 132164624005120 can be written as One hundred thirty-two trillion, one hundred sixty-four billion, six hundred twenty-four million, five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3216462400512 × 1014
Factors of 132164624005120
Divisors of 132164624005120
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 53 56 64 68 70 73 80 85 97 106 112 119 128 136 140 146 160 170 194 212 224 238 256 265 272 280 289 292 320 340 365 371 388 424 448 476 485 511 512 530 544 560 578 584 595 640 679 680 730 742 776 848 896 901 952 970 1022 1024 1060 1088 1120 1156 1168 1190 1241 1280 1358 1360 1445 1460 1484 1552 1649 1696 1792 1802 1855 1904 1940 2023 2044 2048 2120 2176 2240 2312 2336 2380 2482 2555 2560 2716 2720 2890 2920 2968 3104 3298 3392 3395 3584 3604 3710 3808 3869 3880 4046 4088 4240 4352 4480 4505 4624 4672 4760 4913 4964 5110 5120 5141 5432 5440 5780 5840 5936 6205 6208 6307 6596 6784 6790 7081 7168 7208 7420 7616 7738 7760 8092 8176 8245 8480 8687 8704 8960 9010 9248 9344 9520 9826 9928 10115 10220 10240 10282 10864 10880 11543 11560 11680 11872 12410 12416 12614 13192 13568 13580 14162 14336 14416 14840 15232 15317 15476 15520 16184 16352 16490 16960 17374 17408 17920 18020 18496 18688 19040 19345 19652 19856 20230 20440 20564 21097 21728 21760 23086 23120 23360 23744 24565 24820 24832 25228 25705 26384 27083 27136 27160 28033 28324 28832 29680 30464 30634 30952 31040 31535 32368 32704 32980 33920 34391 34748 34816 35405 35840 35987 36040 36992 37376 38080 38690 39304 39712 40460 40880 41128 42194 43435 43456 43520 46172 46240 46720 47488 49130 49567 49640 49664 50456 51410 52768 54166 54272 54320 56066 56648 57664 57715 59360 60928 61268 61904 62080 63070 64736 65408 65773 65960 67840 68782 69496 70810 71680 71974 72080 73984 74752 76160 76585 77380 78608 79424 80920 81760 82256 84388 86870 86912 87040 87397 92344 92480 93440 94976 98260 99134 99280 99328 100912 102820 105485 105536 107219 108332 108544 108640 112132 113296 115328 115430 118720 120377 121856 122536 123808 124160 126140 129472 130816 131546 131920 135415 135680 137564 138992 140165 141620 143948 144160 147679 147968 149504 152320 153170 154760 157216 158848 161840 163520 164512 168776 171955 173740 173824 174080 174794 179935 184688 184960 186880 189952 196231 196520 198268 198560 198656 201824 205640 210970 211072 214438 216664 217280 224264 226592 230656 230860 237440 240754 243712 245072 247616 247835 248320 252280 258944 260389 261632 263092 263840 270830 271360 275128 277984 280330 283240 287896 288320 295358 295936 304640 306340 309520 314432 317696 323680 327040 328865 329024 337552 343910 347480 347648 349588 358649 359870 369376 369920 373760 375293 379904 392462 393040 396536 397120 403648 411280 421940 422144 428876 433328 434560 436985 448528 453184 460411 461312 461720 474880 476561 481508 490144 495232 495670 496640 504560 517888 520778 523264 526184 527680 536095 541660 542720 550256 555968 560660 566480 575792 576640 590716 591872 601885 609280 611779 612680 619040 628864 635392 647360 654080 657730 658048 675104 687820 694960 695296 699176 717298 719740 738395 738752 739840 747520 750586 759808 784924 786080 793072 794240 807296 822560 842639 843880 844288 857752 866656 869120 873970 897056 906368 920822 922624 923440 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261940352 266117558 266638336 266874160 269644480 274480640 277329920 278311624 286244096 286497260 287057920 291635680 294663040 302446592 304134352 304999040 308165120 313079480 313230848 321349504 327425440 332807776 333297920 336262528 336757760 347889530 352163840 353608262 357278936 357805120 367256576 368506880 378058240 380167940 380351744 384300032 391538560 401686880 401881088 404123728 408318784 416009720 420328160 426998656 431431168 433838708 446598670 447472640 458395616 459070720 466617088 471460864 475439680 480375040 487045342 487998464 500927168 502351360 505154660 507566080 510398480 523880704 532235116 533276672 533748320 539288960 542298385 548961280 556623248 572488192 572994520 583271360 589326080 608268704 609998080 616330240 626158960 626461696 642699008 654850880 665293895 665615552 666595840 672525056 673515520 695779060 707216524 714557872 715610240 734513152 756116480 759217739 760335880 760703488 768600064 783077120 803373760 808247456 816637568 832019440 840656320 853997312 862862336 867677416 884020655 893197340 894945280 916791232 918141440 933234176 942921728 950879360 960750080 974090684 975996928 1001854336 1004702720 1010309320 1020796960 1047761408 1064470232 1067496640 1078577920 1084596770 1097922560 1113246496 1144976384 1145989040 1166542720 1178652160 1216537408 1217613355 1219996160 1232660480 1252317920 1252923392 1285398016 1309701760 1330587790 1331231104 1333191680 1345050112 1391558120 1414433048 1429115744 1431220480 1512232960 1518435478 1520671760 1521406976 1566154240 1606747520 1616494912 1633275136 1664038880 1681312640 1707994624 1725724672 1735354832 1768041310 1786394680 1833582464 1836282880 1843814509 1866468352 1901758720 1921500160 1948181368 2003708672 2009405440 2020618640 2041593920 2095522816 2128940464 2134993280 2157155840 2169193540 2226492992 2289952768 2291978080 2333085440 2357304320 2433074816 2435226710 2439992320 2504635840 2570796032 2619403520 2661175580 2662462208 2666383360 2690100224 2783116240 2828866096 2858231488 2862440960 3036870956 3041343520 3042813952 3132308480 3213495040 3232989824 3266550272 3328077760 3362625280 3415989248 3470709664 3536082620 3572789360 3667164928 3672565760 3687629018 3732936704 3796088695 3803517440 3843000320 3896362736 4007417344 4041237280 4083187840 4191045632 4257880928 4269986560 4314311680 4338387080 4452985984 4583956160 4666170880 4714608640 4866149632 4870453420 4879984640 5009271680 5141592064 5238807040 5322351160 5324924416 5380200448 5566232480 5657732192 5716462976 5724881920 6073741912 6082687040 6264616960 6426990080 6465979648 6533100544 6656155520 6725250560 6831978496 6941419328 7072165240 7145578720 7334329856 7375258036 7592177390 7607034880 7792725472 8014834688 8082474560 8166375680 8515761856 8539973120 8628623360 8676774160 8905971968 9167912320 9219072545 9332341760 9732299264 9740906840 10018543360 10477614080 10644702320 10649848832 11132464960 11315464384 11432925952 11449763840 12147483824 12165374080 12853980160 12906701563 12931959296 13066201088 13312311040 13450501120 13882838656 14144330480 14291157440 14668659712 14750516072 15184354780 15214069760 15585450944 16029669376 16164949120 16332751360 17031523712 17079946240 17353548320 17811943936 18335824640 18438145090 18664683520 19464598528 19481813680 20037086720 20955228160 21289404640 21299697664 22264929920 22630928768 22865851904 24294967648 24330748160 25707960320 25813403126 25863918592 26624622080 26901002240 27765677312 28288660960 28582314880 29337319424 29501032144 30368709560 31170901888 32329898240 32665502720 34063047424 34159892480 34707096640 35623887872 36671649280 36876290180 38929197056 38963627360 40074173440 42578809280 44529859840 45261857536 45731703808 48589935296 48661496320 51626806252 51727837184 53249244160 55531354624 56577321920 57164629760 59002064288 60737419120 62341803776 64533507815 64659796480 65331005440 68126094848 69414193280 71247775744 73343298560 73752580360 77927254720 80148346880 85157618560 89059719680 90523715072 91463407616 97179870592 97322992640 103253612504 106498488320 111062709248 113154643840 114329259520 118004128576 121474838240 124683607552 129067015630 129319592960 136252189696 138828386560 146686597120 147505160720 155854509440 170315237120 178119439360 181047430144 194359741184 194645985280 206507225008 222125418496 226309287680 228658519040 236008257152 242949676480 249367215104 258134031260 258639185920 272504379392 277656773120 295010321440 311709018880 340630474240 356238878720 362094860288 388719482368 413014450016 452618575360 457317038080 472016514304 485899352960 498734430208 516268062520 555313546240 590020642880 623418037760 681260948480 777438964736 826028900032 905237150720 944033028608 971798705920 1032536125040 1110627092480 1180041285760 1246836075520 1362521896960 1554877929472 1652057800064 1810474301440 1888066057216 1943597411840 2065072250080 2360082571520 2493672151040 3304115600128 3776132114432 3887194823680 4130144500160 4720165143040 6608231200256 7774389647360 8260289000320 9440330286080 13216462400512 16520578000640 18880660572160 26432924801024 33041156001280 66082312002560 132164624005120
- Sum of all divisors σ(n): 401806725465600
- Sum of proper divisors (its aliquot sum) s(n): 269642101460480
- 132164624005120 is an abundant number, because the sum of its proper divisors (269642101460480) is greater than itself. Its abundance is 137477477455360
Bases of 132164624005120
- Binary: 111100000110011111110010111011100111000000000002
- Hexadecimal: 0x7833F9773800
- Base-36: 1AUJL8QR5S
Squares and roots of 132164624005120
- 132164624005120 squared (1321646240051202) is 17467487838414741749786214400
- 132164624005120 cubed (1321646240051203) is 2308583962478090637150280584318291017728000
-
The
square root of 132164624005120 is 11496287.4009447067 -
The
cube root of 132164624005120 is 50937.5917397375
Scales and comparisons
How big is 132164624005120?- 132,164,624,005,120 seconds is equal to 4,202,426 years, 12 weeks, 4 hours, 58 minutes, 40 seconds.
-
To count from 1 to 132,164,624,005,120 would take you about ten million, five hundred six thousand and sixty-five 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 132164624005120 cubic inches would be around 4244.8 feet tall.
Recreational maths with 132164624005120
- 132164624005120 backwards is 021500426461231
- The number of decimal digits it has is: 15
- The sum of 132164624005120's digits is 37
- More coming soon!
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"Number 132164624005120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 132164624005120 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/132164624005120/
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Numbermatics. 2024. "Number 132164624005120 - Facts about the integer". https://numbermatics.com/n/132164624005120/
The information we have on file for 132164624005120 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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