14144816400
14,144,816,400 is an even composite number composed of seven prime numbers multiplied together.
14144816400 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 14144816400:
24 × 3 × 52 × 11 × 13 × 31 × 2659
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 31 × 2659)See below for interesting mathematical facts about the number 14144816400 from the Numbermatics database.
Names of 14144816400
- Cardinal: 14144816400 can be written as Fourteen billion, one hundred forty-four million, eight hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.41448164 × 1010
Factors of 14144816400
Divisors of 14144816400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 33 39 40 44 48 50 52 55 60 62 65 66 75 78 80 88 93 100 104 110 120 124 130 132 143 150 155 156 165 176 186 195 200 208 220 240 248 260 264 275 286 300 310 312 325 330 341 372 390 400 403 429 440 465 496 520 528 550 572 600 620 624 650 660 682 715 744 775 780 806 825 858 880 930 975 1023 1040 1100 1144 1200 1209 1240 1300 1320 1364 1430 1488 1550 1560 1612 1650 1705 1716 1860 1950 2015 2046 2145 2200 2288 2325 2418 2480 2600 2640 2659 2728 2860 3100 3120 3224 3300 3410 3432 3575 3720 3900 4030 4092 4290 4400 4433 4650 4836 5115 5200 5318 5456 5720 6045 6200 6448 6600 6820 6864 7150 7440 7800 7977 8060 8184 8525 8580 8866 9300 9672 10075 10230 10636 10725 11440 12090 12400 13200 13295 13299 13640 14300 15600 15954 16120 16368 17050 17160 17732 18600 19344 20150 20460 21272 21450 22165 24180 25575 26590 26598 27280 28600 29249 30225 31908 32240 34100 34320 34567 35464 37200 39885 40300 40920 42544 42900 44330 48360 51150 53180 53196 57200 58498 60450 63816 66475 66495 68200 69134 70928 79770 80600 81840 82429 85800 87747 88660 96720 102300 103701 106360 106392 110825 116996 120900 127632 132950 132990 136400 138268 146245 159540 161200 164858 171600 172835 175494 177320 199425 204600 207402 212720 212784 221650 233992 241800 247287 265900 265980 276536 292490 319080 329716 332475 345670 350988 354640 380237 398850 409200 412145 414804 438735 443300 467984 483600 494574 518505 531800 531960 553072 584980 638160 659432 664950 691340 701976 731225 760474 797700 824290 829608 864175 877470 886600 906719 989148 1037010 1063600 1063920 1071577 1140711 1169960 1236435 1318864 1329900 1382680 1403952 1462450 1520948 1595400 1648580 1659216 1728350 1754940 1773200 1813438 1901185 1978296 2060725 2074020 2143154 2193675 2281422 2339920 2472870 2592525 2659800 2720157 2765360 2924900 3041896 3190800 3214731 3297160 3456700 3509880 3626876 3802370 3956592 4121450 4148040 4286308 4387350 4533595 4562844 4945740 5185050 5319600 5357885 5440314 5703555 5849800 6083792 6182175 6429462 6594320 6913400 7019760 7253752 7604740 8242900 8296080 8572616 8774700 9067190 9125688 9505925 9891480 10370100 10715770 10880628 11407110 11699600 11787347 12364350 12858924 13600785 13826800 14507504 15209480 16073655 16485800 17145232 17549400 18134380 18251376 19011850 19782960 20740200 21431540 21761256 22667975 22814220 23574694 24728700 25717848 26789425 27201570 28517775 30418960 32147310 32971600 35098800 35362041 36268760 38023700 41480400 42863080 43522512 45335950 45628440 47149388 49457400 51435696 53578850 54403140 57035550 58936735 64294620 68003925 70724082 72537520 76047400 80368275 85726160 90671900 91256880 94298776 98914800 107157700 108806280 114071100 117873470 128589240 136007850 141448164 152094800 160736550 176810205 181343800 188597552 214315400 217612560 228142200 235746940 257178480 272015700 282896328 294683675 321473100 353620410 362687600 428630800 456284400 471493880 544031400 565792656 589367350 642946200 707240820 884051025 942987760 1088062800 1178734700 1285892400 1414481640 1768102050 2357469400 2828963280 3536204100 4714938800 7072408200 14144816400
- Sum of all divisors σ(n): 54969815040
- Sum of proper divisors (its aliquot sum) s(n): 40824998640
- 14144816400 is an abundant number, because the sum of its proper divisors (40824998640) is greater than itself. Its abundance is 26680182240
Bases of 14144816400
- Binary: 11010010110001100011000101000100002
- Hexadecimal: 0x34B18C510
- Base-36: 6HXGI6O
Squares and roots of 14144816400
- 14144816400 squared (141448164002) is 200075830989708960000
- 14144816400 cubed (141448164003) is 2830035895426863528634944000000
-
The
square root of 14144816400 is 118931.9822419521 -
The
cube root of 14144816400 is 2418.4239675659
Scales and comparisons
How big is 14144816400?- 14,144,816,400 seconds is equal to 449 years, 39 weeks, 4 days, 3 hours, 40 minutes.
-
To count from 1 to 14,144,816,400 would take you about eight hundred ninety-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 14144816400 cubic inches would be around 201.5 feet tall.
Recreational maths with 14144816400
- 14144816400 backwards is 00461844141
- 14144816400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 14144816400's digits is 33
- More coming soon!
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