132766314912
132,766,314,912 is an even composite number composed of seven prime numbers multiplied together.
132766314912 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132766314912:
25 × 32 × 7 × 112 × 31 × 97 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 31 × 97 × 181)See below for interesting mathematical facts about the number 132766314912 from the Numbermatics database.
Names of 132766314912
- Cardinal: 132766314912 can be written as One hundred thirty-two billion, seven hundred sixty-six million, three hundred fourteen thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.32766314912 × 1011
Factors of 132766314912
Divisors of 132766314912
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 56 62 63 66 72 77 84 88 93 96 97 99 112 121 124 126 132 144 154 168 176 181 186 194 198 217 224 231 242 248 252 264 279 288 291 308 336 341 352 362 363 372 388 396 434 462 484 496 504 528 543 558 582 616 651 672 679 682 693 724 726 744 776 792 847 868 873 924 968 992 1008 1023 1056 1067 1086 1089 1116 1164 1232 1267 1302 1358 1364 1386 1448 1452 1488 1552 1584 1629 1694 1736 1746 1848 1936 1953 1991 2016 2037 2046 2134 2172 2178 2232 2328 2387 2464 2534 2541 2604 2716 2728 2772 2896 2904 2976 3007 3069 3104 3168 3201 3258 3388 3472 3492 3696 3751 3801 3872 3906 3982 4074 4092 4268 4344 4356 4464 4656 4774 5068 5082 5208 5432 5456 5544 5611 5792 5808 5973 6014 6111 6138 6402 6516 6776 6944 6984 7161 7392 7469 7502 7602 7623 7812 7964 8148 8184 8536 8688 8712 8928 9021 9312 9548 9603 10136 10164 10416 10864 10912 11088 11222 11253 11403 11616 11737 11946 12028 12222 12276 12804 13032 13552 13937 13968 14322 14938 15004 15204 15246 15624 15928 16296 16368 16833 17072 17376 17424 17557 17919 18042 19096 19206 20272 20328 20832 21049 21483 21728 21901 22176 22407 22444 22506 22806 23474 23892 24056 24444 24552 25608 26064 26257 27063 27104 27874 27936 28644 29876 30008 30408 30492 31248 31856 32592 32736 33077 33666 33759 34144 34848 35114 35211 35838 36084 38192 38412 39277 40544 40656 41811 42098 42966 43802 44814 44888 45012 45612 46948 47784 48112 48888 49104 50499 51216 52128 52514 52671 54126 55748 57288 59752 60016 60816 60984 61721 62496 63147 63712 65184 65703 66154 67221 67332 67518 70228 70422 71676 72168 76384 76824 78554 78771 81312 82159 83622 84196 85932 87604 89628 89776 90024 91224 93896 95568 96224 97776 98208 99231 100998 102432 105028 105342 105633 108252 111496 114576 117831 119504 120032 121632 121968 122899 123442 125433 126294 131406 132308 134442 134664 135036 140456 140844 143352 144336 153307 153648 157108 157542 158013 164318 167244 168392 171864 175208 179256 179552 180048 182448 185163 187792 189441 191136 193127 195552 197109 198462 201996 210056 210684 211266 216504 222992 229152 231539 235662 236313 239008 243936 245798 246477 246884 250866 252588 262812 264616 268884 269328 270072 280912 281688 286704 288672 297693 306614 307296 314216 315084 316026 328636 334488 336784 343728 350416 353493 358512 360096 363847 364896 368697 370326 375584 378882 386254 394218 396924 403992 420112 421368 422532 432047 433008 445984 459921 463078 471324 472626 491596 492954 493768 501732 505176 525624 529232 537768 538656 540144 544267 555489 561824 563376 573408 579381 595386 613228 628432 630168 632052 657272 668976 673568 678931 687456 694617 700832 706986 717024 727694 737394 739431 740652 757764 772508 788436 793848 807984 840224 842736 845064 864094 866016 919842 926156 942648 945252 983192 985908 987536 1003464 1010352 1051248 1058464 1075536 1080288 1088534 1091541 1106091 1110978 1126752 1158762 1190772 1226456 1256864 1260336 1264104 1296141 1314544 1337952 1351889 1357862 1379763 1389234 1413972 1455388 1474788 1478862 1481304 1515528 1545016 1576872 1587696 1615968 1632801 1685472 1690128 1728188 1738143 1839684 1852312 1885296 1890504 1966384 1971816 1975072 2006928 2020704 2036793 2083851 2102496 2124397 2151072 2177068 2183082 2212182 2221956 2317524 2381544 2452912 2520672 2528208 2546929 2592282 2629088 2703778 2715724 2759526 2778468 2827944 2910776 2949576 2957724 2962608 3031056 3090032 3153744 3175392 3265602 3274623 3380256 3456376 3476286 3679368 3704624 3770592 3781008 3809869 3888423 3932768 3943632 4013856 4055667 4073586 4167702 4248794 4354136 4366164 4424364 4443912 4635048 4752517 4763088 4898403 4905824 5056416 5093858 5184564 5407556 5431448 5519052 5556936 5655888 5821552 5899152 5915448 5925216 5986937 6062112 6110379 6180064 6307488 6373191 6531204 6549246 6912752 6952572 7358736 7409248 7562016 7619738 7640787 7776846 7887264 8111334 8147172 8335404 8497588 8708272 8732328 8848728 8887824 9270096 9505034 9526176 9796806 10187716 10369128 10815112 10862896 11038104 11113872 11311776 11429607 11643104 11798304 11830896 11973874 12167001 12220758 12746382 13062408 13098492 13825504 13905144 14257551 14717472 14870779 15239476 15281574 15553692 16222668 16294344 16670808 16995176 17416544 17464656 17697456 17775648 17960811 18540192 19010068 19119573 19593612 20375432 20738256 21630224 21725792 22076208 22227744 22859214 22922361 23661792 23947748 24334002 24441516 25492764 26124816 26196984 27810288 28515102 29741558 30478952 30563148 31107384 32445336 32588688 33341616 33990352 34288821 34929312 35394912 35921622 38020136 38239146 39187224 40750864 41476512 41908559 42772653 43260448 44152416 44612337 45718428 45844722 47895496 48668004 48883032 50985528 52249632 52393968 53882433 55620576 57030204 59483116 60957904 61126296 62214768 64890672 65177376 65856307 66683232 67980704 68577642 71843244 76040272 76478292 78374448 81501728 83817118 85545306 89224674 91436856 91689444 95790992 97336008 97766064 101971056 104787936 107764866 114060408 118966232 121915808 122252592 124429536 125725677 129781344 131712614 133837011 137155284 143686488 152080544 152956584 156748896 167634236 171090612 178449348 182873712 183378888 191581984 194672016 195532128 197568921 203942112 215529732 228120816 237932464 244505184 251451354 263425228 267674022 274310568 287372976 305913168 335268472 342181224 356898696 365747424 366757776 377177031 389344032 395137842 431059464 456241632 460994149 475864928 502902708 526850456 535348044 548621136 574745952 592706763 611826336 670536944 684362448 713797392 733515552 754354062 790275684 862118928 921988298 1005805416 1053700912 1070696088 1097242272 1185413526 1341073888 1368724896 1382982447 1427594784 1508708124 1580551368 1724237856 1843976596 2011610832 2107401824 2141392176 2370827052 2765964894 3017416248 3161102736 3687953192 4023221664 4148947341 4282784352 4741654104 5531929788 6034832496 6322205472 7375906384 8297894682 9483308208 11063859576 12069664992 14751812768 16595789364 18966616416 22127719152 33191578728 44255438304 66383157456 132766314912
- Sum of all divisors σ(n): 497362424832
- Sum of proper divisors (its aliquot sum) s(n): 364596109920
- 132766314912 is an abundant number, because the sum of its proper divisors (364596109920) is greater than itself. Its abundance is 231829795008
Bases of 132766314912
- Binary: 11110111010010111110100110001101000002
- Hexadecimal: 0x1EE97D31A0
- Base-36: 1OZPMW80
Squares and roots of 132766314912
- 132766314912 squared (1327663149122) is 17626894375312353567744
- 132766314912 cubed (1327663149123) is 2340257809553281452138986629398528
-
The
square root of 132766314912 is 364371.1225001235 -
The
cube root of 132766314912 is 5101.4773998885
Scales and comparisons
How big is 132766314912?- 132,766,314,912 seconds is equal to 4,221 years, 29 weeks, 3 hours, 55 minutes, 12 seconds.
-
To count from 1 to 132,766,314,912 would take you about eight thousand, four hundred forty-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 132766314912 cubic inches would be around 425.1 feet tall.
Recreational maths with 132766314912
- 132766314912 backwards is 219413667231
- The number of decimal digits it has is: 12
- The sum of 132766314912's digits is 45
- More coming soon!
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