133468020
133,468,020 is an even composite number composed of seven prime numbers multiplied together.
133468020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 133468020:
22 × 33 × 5 × 7 × 17 × 31 × 67
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 17 × 31 × 67)See below for interesting mathematical facts about the number 133468020 from the Numbermatics database.
Names of 133468020
- Cardinal: 133468020 can be written as One hundred thirty-three million, four hundred sixty-eight thousand and twenty.
Scientific notation
- Scientific notation: 1.3346802 × 108
Factors of 133468020
Divisors of 133468020
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 27 28 30 31 34 35 36 42 45 51 54 60 62 63 67 68 70 84 85 90 93 102 105 108 119 124 126 134 135 140 153 155 170 180 186 189 201 204 210 217 238 252 255 268 270 279 306 310 315 335 340 357 372 378 402 420 434 459 465 469 476 510 527 540 558 595 603 612 620 630 651 670 714 756 765 804 837 868 918 930 938 945 1005 1020 1054 1071 1085 1116 1139 1190 1206 1260 1302 1340 1395 1407 1428 1530 1581 1674 1785 1809 1836 1860 1876 1890 1953 2010 2077 2108 2142 2170 2278 2295 2345 2380 2412 2604 2635 2790 2814 3015 3060 3162 3213 3255 3348 3417 3570 3618 3689 3780 3906 4020 4154 4185 4221 4284 4340 4556 4590 4690 4743 5270 5355 5580 5628 5695 5859 6030 6231 6324 6426 6510 6834 7035 7140 7236 7378 7812 7905 7973 8308 8370 8442 9045 9180 9380 9486 9765 10251 10385 10540 10710 11067 11390 11718 12060 12462 12663 12852 13020 13668 14070 14229 14539 14756 15810 15946 16065 16740 16884 17085 18090 18445 18693 18972 19530 20502 20770 21105 21420 22134 22780 23436 23715 23919 24924 25326 28140 28458 29078 29295 30753 31155 31620 31892 32130 33201 34170 35309 36180 36890 37386 39060 39865 41004 41540 42210 43617 44268 47430 47838 50652 51255 55335 56079 56916 58156 58590 61506 62310 63315 64260 66402 68340 70618 71145 71757 72695 73780 74772 79730 84420 87234 93465 94860 95676 99603 102510 105927 110670 112158 117180 119595 123012 124620 126630 130851 132804 141236 142290 143514 145390 153765 159460 166005 174468 176545 186930 199206 205020 211854 215271 218085 221340 224316 239190 247163 253260 261702 280395 284580 287028 290780 307530 317781 332010 353090 358785 373860 392553 398412 423708 430542 436170 478380 494326 498015 523404 529635 560790 615060 635562 654255 664020 706180 717570 741489 785106 861084 872340 953343 988652 996030 1059270 1076355 1121580 1235815 1271124 1308510 1435140 1482978 1570212 1588905 1906686 1962765 1992060 2118540 2152710 2224467 2471630 2617020 2965956 3177810 3707445 3813372 3925530 4305420 4448934 4766715 4943260 6355620 6673401 7414890 7851060 8897868 9533430 11122335 13346802 14829780 19066860 22244670 26693604 33367005 44489340 66734010 133468020
- Sum of all divisors σ(n): 526417920
- Sum of proper divisors (its aliquot sum) s(n): 392949900
- 133468020 is an abundant number, because the sum of its proper divisors (392949900) is greater than itself. Its abundance is 259481880
Bases of 133468020
- Binary: 1111111010010001111011101002
- Hexadecimal: 0x7F48F74
- Base-36: 27GOL0
Squares and roots of 133468020
- 133468020 squared (1334680202) is 17813712362720400
- 133468020 cubed (1334680203) is 2377560917901813601608000
-
The
square root of 133468020 is 11552.8360154553 -
The
cube root of 133468020 is 511.0449164781
Scales and comparisons
How big is 133468020?- 133,468,020 seconds is equal to 4 years, 12 weeks, 4 days, 18 hours, 27 minutes.
-
To count from 1 to 133,468,020 would take you about six 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 133468020 cubic inches would be around 42.6 feet tall.
Recreational maths with 133468020
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