132585362208
132,585,362,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 132585362208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
132585362208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 132585362208:
25 × 32 × 13 × 31 × 612 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 61 × 61 × 307)See below for interesting mathematical facts about the number 132585362208 from the Numbermatics database.
Names of 132585362208
- Cardinal: 132585362208 can be written as One hundred thirty-two billion, five hundred eighty-five million, three hundred sixty-two thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.32585362208 × 1011
Factors of 132585362208
Divisors of 132585362208
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 61 62 72 78 93 96 104 117 122 124 144 156 183 186 208 234 244 248 279 288 307 312 366 372 403 416 468 488 496 549 558 614 624 732 744 793 806 921 936 976 992 1098 1116 1209 1228 1248 1464 1488 1586 1612 1842 1872 1891 1952 2196 2232 2379 2418 2456 2763 2928 2976 3172 3224 3627 3684 3721 3744 3782 3991 4392 4464 4758 4836 4912 5526 5673 5856 6344 6448 7137 7254 7368 7442 7564 7982 8784 8928 9516 9517 9672 9824 11052 11163 11346 11973 12688 12896 14274 14508 14736 14884 15128 15964 17019 17568 18727 19032 19034 19344 22104 22326 22692 23946 24583 25376 28548 28551 29016 29472 29768 30256 31928 33489 34038 35919 37454 38064 38068 38688 44208 44652 45384 47892 48373 49166 56181 57096 57102 58032 59536 60512 63856 66978 68076 71838 73749 74908 76128 76136 85653 88416 89304 90768 95784 96746 98332 112362 114192 114204 115351 116064 119072 123721 127712 133956 136152 143676 145119 147498 149816 152272 168543 171306 178608 181536 191568 193492 196664 221247 224724 228384 228408 230702 243451 247442 267912 272304 287352 290238 294996 299632 304544 337086 342612 346053 357216 371163 383136 386984 393328 435357 442494 449448 456816 461404 486902 494884 535824 544608 574704 580476 580537 589992 599264 674172 685224 692106 730353 742326 773968 786656 870714 884988 898896 913632 922808 973804 989768 1038159 1071648 1113489 1142347 1149408 1160952 1161074 1179984 1348344 1370448 1384212 1460706 1484652 1499563 1547936 1741428 1741611 1769976 1797792 1845616 1947608 1979536 2076318 2191059 2226978 2284694 2321904 2322148 2359968 2696688 2740896 2768424 2921412 2969304 2999126 3427041 3482856 3483222 3539952 3691232 3895216 3959072 4152636 4382118 4453956 4498689 4569388 4643808 4644296 5224833 5393376 5536848 5842824 5938608 5998252 6854082 6965712 6966444 7079904 7546981 7790432 8305272 8764236 8907912 8997378 9138776 9288592 10281123 10449666 11073696 11685648 11877216 11996504 13496067 13708164 13931424 13932888 14850511 15093962 16610544 17528472 17815824 17994756 18277552 18577184 20562246 20899332 22640943 23371296 23993008 26992134 27416328 27865776 29701022 30187924 33221088 35056944 35412757 35631648 35989512 36555104 41124492 41798664 44551533 45281886 47986016 53984268 54832656 55731552 59402044 60375848 67922829 70113888 70825514 71979024 82248984 83597328 89103066 90563772 106238271 107968536 109665312 118804088 120751696 133654599 135845658 141651028 143958048 164497968 167194656 178206132 181127544 212476542 215937072 237608176 241503392 267309198 271691316 283302056 318714813 328995936 356412264 362255088 424953084 431874144 460365841 475216352 534618396 543382632 566604112 637429626 712824528 724510176 849906168 920731682 1069236792 1086765264 1133208224 1274859252 1381097523 1425649056 1699812336 1841463364 2138473584 2173530528 2549718504 2762195046 3399624672 3682926728 4143292569 4276947168 5099437008 5524390092 7365853456 8286585138 10198874016 11048780184 14731706912 16573170276 22097560368 33146340552 44195120736 66292681104 132585362208
- Sum of all divisors σ(n): 427512653568
- Sum of proper divisors (its aliquot sum) s(n): 294927291360
- 132585362208 is an abundant number, because the sum of its proper divisors (294927291360) is greater than itself. Its abundance is 162341929152
Bases of 132585362208
- Binary: 11110110111101011010000010011001000002
- Hexadecimal: 0x1EDEB41320
- Base-36: 1OWPWG80
Squares and roots of 132585362208
- 132585362208 squared (1325853622082) is 17578878271826554635264
- 132585362208 cubed (1325853622083) is 2330701942880464828069178769702912
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The
square root of 132585362208 is 364122.7295953935 -
The
cube root of 132585362208 is 5099.1586745971
Scales and comparisons
How big is 132585362208?- 132,585,362,208 seconds is equal to 4,215 years, 41 weeks, 5 days, 19 hours, 16 minutes, 48 seconds.
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To count from 1 to 132,585,362,208 would take you about eight thousand, four hundred thirty-one 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 132585362208 cubic inches would be around 424.9 feet tall.
Recreational maths with 132585362208
- 132585362208 backwards is 802263585231
- The number of decimal digits it has is: 12
- The sum of 132585362208's digits is 45
- More coming soon!
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