72106564400640
72,106,564,400,640 is an even composite number composed of seven prime numbers multiplied together.
72106564400640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 72106564400640:
29 × 33 × 5 × 7 × 112 × 612 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 61 × 61 × 331)See below for interesting mathematical facts about the number 72106564400640 from the Numbermatics database.
Names of 72106564400640
- Cardinal: 72106564400640 can be written as Seventy-two trillion, one hundred six billion, five hundred sixty-four million, four hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 7.210656440064 × 1013
Factors of 72106564400640
Divisors of 72106564400640
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 61 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 121 122 126 128 132 135 140 144 154 160 165 168 176 180 183 189 192 198 210 216 220 224 231 240 242 244 252 256 264 270 280 288 297 305 308 315 320 330 331 336 352 360 363 366 378 384 385 396 420 427 432 440 448 462 480 484 488 495 504 512 528 540 549 560 576 594 605 610 616 630 640 660 662 671 672 693 704 720 726 732 756 768 770 792 840 847 854 864 880 896 915 924 945 960 968 976 990 993 1008 1056 1080 1089 1098 1120 1152 1155 1188 1210 1220 1232 1260 1280 1281 1320 1324 1342 1344 1386 1408 1440 1452 1464 1485 1512 1536 1540 1584 1647 1655 1680 1694 1708 1728 1760 1792 1815 1830 1848 1890 1920 1936 1952 1980 1986 2013 2016 2079 2112 2135 2160 2178 2196 2240 2304 2310 2317 2376 2420 2440 2464 2520 2541 2560 2562 2640 2648 2684 2688 2745 2772 2816 2880 2904 2928 2970 2979 3024 3080 3168 3267 3294 3310 3355 3360 3388 3416 3456 3465 3520 3584 3630 3641 3660 3696 3721 3780 3840 3843 3872 3904 3960 3972 4026 4032 4158 4224 4235 4270 4320 4356 4392 4480 4608 4620 4634 4697 4752 4840 4880 4928 4965 5040 5082 5124 5280 5296 5368 5376 5445 5490 5544 5632 5760 5808 5856 5940 5958 6039 6048 6160 6336 6405 6534 6588 6620 6710 6720 6776 6832 6912 6930 6951 7040 7260 7282 7320 7381 7392 7442 7560 7623 7680 7686 7744 7808 7920 7944 8052 8064 8235 8316 8448 8470 8540 8640 8712 8784 8937 8960 9240 9268 9394 9504 9680 9760 9856 9930 10065 10080 10164 10248 10395 10560 10592 10736 10752 10890 10923 10980 11088 11163 11520 11529 11585 11616 11712 11880 11916 12078 12096 12320 12672 12705 12810 13068 13176 13240 13420 13440 13552 13664 13824 13860 13902 14080 14091 14520 14564 14640 14762 14784 14884 14895 15120 15246 15372 15488 15616 15840 15888 16104 16128 16335 16470 16632 16896 16940 17080 17280 17424 17568 17874 17920 18117 18205 18480 18536 18605 18788 19008 19215 19360 19520 19712 19860 20130 20160 20191 20328 20496 20790 20853 21120 21184 21472 21780 21846 21960 22143 22176 22326 22869 23040 23058 23170 23232 23424 23485 23760 23832 24156 24192 24640 25344 25410 25487 25620 26047 26136 26352 26480 26840 26880 27104 27328 27720 27804 28160 28182 29040 29128 29280 29524 29568 29768 29790 30195 30240 30492 30744 30976 31232 31680 31776 32208 32256 32670 32769 32940 33264 33489 33880 34160 34560 34755 34848 35136 35748 36234 36410 36905 36960 37072 37210 37576 38016 38115 38430 38720 39040 39424 39720 40051 40260 40320 40382 40656 40931 40992 41580 41706 42240 42273 42368 42944 43560 43692 43920 44286 44352 44652 44685 45738 46116 46340 46464 46848 46970 47520 47664 48312 48384 49280 50688 50820 50974 51240 51667 52094 52272 52704 52960 53680 53760 54208 54615 54656 55440 55608 55815 56364 57645 58080 58256 58560 59048 59136 59536 59580 60390 60480 60573 60984 61488 61952 62559 63360 63552 64416 65340 65538 65880 66429 66528 66978 67760 68320 69120 69510 69696 70272 70455 71496 72468 72820 73810 73920 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7036159680 7094309760 7153429008 7164089856 7261486848 7316006940 7387967664 7449025248 7586970160 7675810560 7780164480 7803740736 8047607634 8068318720 8208852960 8276694720 8345667176 8443391616 8513171712 8535341430 8670823040 8756109824 8941786260 8955112320 9076858560 9104364192 9234959580 9311281560 9381546240 9388875573 9459079680 9537905344 9689137920 9754675920 9769213440 9850623552 9902027520 9932033664 10242409716 10373552640 10404987648 10432083970 10554239520 10641464640 10730143512 10746134784 10892230272 10945137280 11035592960 11257855488 11380455240 11705611104 11922381680 11940149760 12102478080 12139152256 12313279440 12415042080 12518500764 12803012145 13006234560 13134164736 13242711552 13412679390 13432668480 13615287840 13656546288 14072319360 14188619520 14306858016 14522973696 14632013880 14775935328 14898050496 15173940320 15351621120 15560328960 15607481472 15648125955 16095215268 16417705920 16553389440 16691334352 16886783232 17026343424 17070682860 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200296012224 204848194320 214602870240 217844605440 218504740608 225333013752 228909728256 234112222080 236414965248 242783045120 250370015280 257523444288 267061349632 273130925760 281666267190 286137160320 295518706560 297961009920 300444018336 312149629440 321904305360 327757110912 333826687040 343364592384 364174567680 375555022920 381516213760 394024942080 400592024448 409696388640 429205740480 437009481216 450666027504 468224444160 500740030560 515046888576 534122699264 546261851520 563332534380 572274320640 591037413120 595922019840 600888036672 643808610720 655514221824 667653374080 686729184768 728349135360 751110045840 801184048896 819392777280 858411480960 901332055008 936448888320 1001480061120 1030093777152 1092523703040 1126665068760 1144548641280 1182074826240 1201776073344 1287617221440 1311028443648 1335306748160 1502220091680 1602368097792 1638785554560 1716822961920 1802664110016 2002960122240 2060187554304 2185047406080 2253330137520 2403552146688 2575234442880 2670613496320 3004440183360 3277571109120 3433645923840 3605328220032 4005920244480 4506660275040 4807104293376 5150468885760 6008880366720 6555142218240 7210656440064 8011840488960 9013320550080 10300937771520 12017760733440 14421312880128 18026641100160 24035521466880 36053282200320 72106564400640
- Sum of all divisors σ(n): 328097505415680
- Sum of proper divisors (its aliquot sum) s(n): 255990941015040
- 72106564400640 is an abundant number, because the sum of its proper divisors (255990941015040) is greater than itself. Its abundance is 183884376614400
Bases of 72106564400640
- Binary: 100000110010100100111100010100000110110000000002
- Hexadecimal: 0x41949E283600
- Base-36: PK5AQPHC0
Squares and roots of 72106564400640
- 72106564400640 squared (721065644006402) is 5199356629663643762432409600
- 72106564400640 cubed (721065644006403) is 374907743658736067537475575477534982144000
-
The
square root of 72106564400640 is 8491558.4200216157 -
The
cube root of 72106564400640 is 41622.1906848815
Scales and comparisons
How big is 72106564400640?- 72,106,564,400,640 seconds is equal to 2,292,765 years, 36 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 72,106,564,400,640 would take you about five million, seven hundred thirty-one thousand, nine hundred fourteen 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 72106564400640 cubic inches would be around 3468.5 feet tall.
Recreational maths with 72106564400640
- 72106564400640 backwards is 04600446560127
- 72106564400640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72106564400640's digits is 45
- More coming soon!
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"Number 72106564400640 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 72106564400640 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/72106564400640/
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The information we have on file for 72106564400640 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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