166438742080
166,438,742,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 166438742080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
166438742080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 166438742080:
26 × 5 × 13 × 17 × 313 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 31 × 31 × 31 × 79)See below for interesting mathematical facts about the number 166438742080 from the Numbermatics database.
Names of 166438742080
- Cardinal: 166438742080 can be written as One hundred sixty-six billion, four hundred thirty-eight million, seven hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 1.6643874208 × 1011
Factors of 166438742080
Divisors of 166438742080
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 31 32 34 40 52 62 64 65 68 79 80 85 104 124 130 136 155 158 160 170 208 221 248 260 272 310 316 320 340 395 403 416 442 496 520 527 544 620 632 680 790 806 832 884 961 992 1027 1040 1054 1088 1105 1240 1264 1343 1360 1580 1612 1768 1922 1984 2015 2054 2080 2108 2210 2449 2480 2528 2635 2686 2720 3160 3224 3536 3844 4030 4108 4160 4216 4420 4805 4898 4960 5056 5135 5270 5372 5440 6320 6448 6715 6851 7072 7688 8060 8216 8432 8840 9610 9796 9920 10270 10540 10744 12245 12493 12640 12896 13430 13702 14144 15376 16120 16337 16432 16864 17459 17680 19220 19592 20540 21080 21488 24490 24986 25280 25792 26860 27404 29791 30752 31837 32240 32674 32864 33728 34255 34918 35360 38440 39184 41080 41633 42160 42976 48980 49972 53720 54808 59582 61504 62465 63674 64480 65348 65728 68510 69836 70720 75919 76880 78368 81685 82160 83266 84320 85952 87295 97960 99944 107440 109616 119164 124930 127348 128960 130696 137020 139672 148955 151838 153760 156736 159185 163370 164320 166532 168640 174590 195920 199888 208165 212381 214880 219232 238328 249860 254696 261392 274040 279344 297910 303676 307520 318370 326740 328640 333064 349180 379595 387283 391840 399776 416330 424762 429760 438464 476656 499720 506447 509392 522784 541229 548080 558688 595820 607352 636740 653480 666128 698360 759190 774566 783680 799552 832660 849524 953312 986947 999440 1012894 1018784 1045568 1061905 1082458 1096160 1117376 1191640 1214704 1273480 1290623 1306960 1332256 1396720 1518380 1549132 1665320 1699048 1906624 1936415 1973894 1998880 2025788 2037568 2123810 2164916 2192320 2353489 2383280 2429408 2532235 2546960 2581246 2613920 2664512 2706145 2793440 3036760 3098264 3330640 3398096 3872830 3947788 3997760 4051576 4247620 4329832 4706978 4766560 4858816 4934735 5064470 5093920 5162492 5227840 5412290 5586880 6073520 6196528 6453115 6583811 6661280 6796192 7745660 7895576 8103152 8495240 8659664 9413956 9533120 9869470 10128940 10187840 10324984 10824580 11767445 12147040 12393056 12906230 13167622 13322560 13592384 15491320 15791152 16206304 16778099 16990480 17319328 18827912 19738940 20257880 20649968 21649160 23534890 24294080 24786112 25812460 26335244 30595357 30982640 31582304 32412608 32919055 33556198 33980960 34638656 37655824 39477880 40009313 40515760 41299936 43298320 47069780 51624920 52670488 61190714 61965280 63164608 65838110 67112396 67961920 75311648 78955760 80018626 81031520 82599872 83890495 86596640 94139560 103249840 105340976 122381428 123930560 131676220 134224792 150623296 152976785 157911520 160037252 162063040 167780990 173193280 188279120 200046565 206499680 210681952 244762856 263352440 268449584 305953570 315823040 320074504 335561980 376558240 400093130 412999360 421363904 489525712 520121069 526704880 536899168 611907140 640149008 671123960 753116480 800186260 979051424 1040242138 1053409760 1073798336 1223814280 1280298016 1342247920 1600372520 1958102848 2080484276 2106819520 2447628560 2560596032 2600605345 2684495840 3200745040 4160968552 4895257120 5201210690 5368991680 6401490080 8321937104 9790514240 10402421380 12802980160 16643874208 20804842760 33287748416 41609685520 83219371040 166438742080
- Sum of all divisors σ(n): 472901345280
- Sum of proper divisors (its aliquot sum) s(n): 306462603200
- 166438742080 is an abundant number, because the sum of its proper divisors (306462603200) is greater than itself. Its abundance is 140023861120
Bases of 166438742080
- Binary: 100110110000001000010110101000010000002
- Hexadecimal: 0x26C085A840
- Base-36: 24GLBVB4
Squares and roots of 166438742080
- 166438742080 squared (1664387420802) is 27701854865172762726400
- 166438742080 cubed (1664387420803) is 4610661877042082630060327206912000
-
The
square root of 166438742080 is 407969.0454924245 -
The
cube root of 166438742080 is 5500.7023023843
Scales and comparisons
How big is 166438742080?- 166,438,742,080 seconds is equal to 5,292 years, 12 weeks, 2 days, 7 hours, 54 minutes, 40 seconds.
-
To count from 1 to 166,438,742,080 would take you about ten thousand, five hundred eighty-four 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 166438742080 cubic inches would be around 458.4 feet tall.
Recreational maths with 166438742080
- 166438742080 backwards is 080247834661
- The number of decimal digits it has is: 12
- The sum of 166438742080's digits is 49
- More coming soon!
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