45429967440
45,429,967,440 is an even composite number composed of seven prime numbers multiplied together.
45429967440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 45429967440:
24 × 32 × 5 × 11 × 13 × 463 × 953
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 463 × 953)See below for interesting mathematical facts about the number 45429967440 from the Numbermatics database.
Names of 45429967440
- Cardinal: 45429967440 can be written as Forty-five billion, four hundred twenty-nine million, nine hundred sixty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.542996744 × 1010
Factors of 45429967440
Divisors of 45429967440
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 33 36 39 40 44 45 48 52 55 60 65 66 72 78 80 88 90 99 104 110 117 120 130 132 143 144 156 165 176 180 195 198 208 220 234 240 260 264 286 312 330 360 390 396 429 440 463 468 495 520 528 572 585 624 660 715 720 780 792 858 880 926 936 953 990 1040 1144 1170 1287 1320 1389 1430 1560 1584 1716 1852 1872 1906 1980 2145 2288 2315 2340 2574 2640 2778 2859 2860 3120 3432 3704 3812 3960 4167 4290 4630 4680 4765 5093 5148 5556 5718 5720 6019 6435 6864 6945 7408 7624 7920 8334 8577 8580 9260 9360 9530 10186 10296 10483 11112 11436 11440 12038 12389 12870 13890 14295 15248 15279 16668 17154 17160 18057 18520 19060 20372 20592 20835 20966 22224 22872 24076 24778 25465 25740 27780 28590 30095 30558 31449 33336 34308 34320 36114 37040 37167 38120 40744 41670 41932 42885 45744 45837 48152 49556 50930 51480 52415 54171 55560 57180 60190 61116 61945 62898 66209 66672 68616 72228 74334 76240 76395 81488 83340 83864 85770 90285 91674 94347 96304 99112 101860 102960 104830 108342 111120 111501 114360 120380 122232 123890 125796 132418 136279 137232 144456 148668 152790 157245 166680 167728 171540 180570 183348 185835 188694 198224 198627 203720 209660 216684 223002 228720 229185 240760 244464 247780 251592 264836 270855 272558 288912 297336 305580 314490 331045 333360 343080 361140 366696 371670 377388 397254 407440 408837 419320 433368 441239 446004 458370 471735 481520 495560 503184 529672 541710 545116 557505 594672 595881 611160 628980 662090 681395 686160 722280 733392 743340 754776 794508 817674 838640 866736 882478 892008 916740 943470 991120 993135 1059344 1083420 1090232 1115010 1191762 1222320 1226511 1257960 1323717 1324180 1362790 1444560 1486680 1509552 1589016 1635348 1764956 1784016 1833480 1886940 1986270 2044185 2166840 2180464 2206195 2230020 2383524 2453022 2515920 2647434 2648360 2725580 2973360 2979405 3178032 3270696 3529912 3666960 3773880 3971151 3972540 4088370 4333680 4412390 4460040 4767048 4853629 4906044 5294868 5296720 5451160 5736107 5958810 6132555 6541392 6618585 7059824 7547760 7942302 7945080 8176740 8824780 8920080 9534096 9707258 9812088 10589736 10902320 11472214 11917620 12265110 13237170 14560887 15884604 15890160 16353480 17208321 17649560 19414516 19624176 19855755 21179472 22944428 23835240 24268145 24530220 26474340 28680535 29121774 31769208 32706960 34416642 35299120 38829032 39711510 43682661 45888856 47670480 48536290 49060440 51624963 52948680 57361070 58243548 63097177 63538416 68833284 72804435 77658064 79423020 86041605 87365322 91777712 97072580 98120880 103249926 105897360 114722140 116487096 126194354 137666568 145608870 158846040 172083210 174730644 189291531 194145160 206499852 218413305 229444280 232974192 252388708 258124815 275333136 291217740 315485885 317692080 344166420 349461288 378583062 388290320 412999704 436826610 458888560 504777416 516249630 567874593 582435480 630971770 688332840 698922576 757166124 825999408 873653220 946457655 1009554832 1032499260 1135749186 1164870960 1261943540 1376665680 1514332248 1747306440 1892915310 2064998520 2271498372 2523887080 2839372965 3028664496 3494612880 3785830620 4129997040 4542996744 5047774160 5678745930 7571661240 9085993488 11357491860 15143322480 22714983720 45429967440
- Sum of all divisors σ(n): 179817490944
- Sum of proper divisors (its aliquot sum) s(n): 134387523504
- 45429967440 is an abundant number, because the sum of its proper divisors (134387523504) is greater than itself. Its abundance is 88957556064
Bases of 45429967440
- Binary: 1010100100111101011001001010010100002
- Hexadecimal: 0xA93D64A50
- Base-36: KVBTV80
Squares and roots of 45429967440
- 45429967440 squared (454299674402) is 2063881941599460153600
- 45429967440 cubed (454299674403) is 93762089406867456299625398784000
-
The
square root of 45429967440 is 213143.0680083215 -
The
cube root of 45429967440 is 3568.1859201349
Scales and comparisons
How big is 45429967440?- 45,429,967,440 seconds is equal to 1,444 years, 27 weeks, 4 days, 19 hours, 24 minutes.
-
To count from 1 to 45,429,967,440 would take you about two thousand, eight hundred eighty-nine 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 45429967440 cubic inches would be around 297.3 feet tall.
Recreational maths with 45429967440
- 45429967440 backwards is 04476992454
- The number of decimal digits it has is: 11
- The sum of 45429967440's digits is 54
- More coming soon!
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