138765146240
138,765,146,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 138765146240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138765146240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138765146240:
27 × 5 × 72 × 31 × 47 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 47 × 3037)See below for interesting mathematical facts about the number 138765146240 from the Numbermatics database.
Names of 138765146240
- Cardinal: 138765146240 can be written as One hundred thirty-eight billion, seven hundred sixty-five million, one hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3876514624 × 1011
Factors of 138765146240
Divisors of 138765146240
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 47 49 56 62 64 70 80 94 98 112 124 128 140 155 160 188 196 217 224 235 245 248 280 310 320 329 376 392 434 448 470 490 496 560 620 640 658 752 784 868 896 940 980 992 1085 1120 1240 1316 1457 1504 1519 1568 1645 1736 1880 1960 1984 2170 2240 2303 2480 2632 2914 3008 3037 3038 3136 3290 3472 3760 3920 3968 4340 4480 4606 4960 5264 5828 6016 6074 6076 6272 6580 6944 7285 7520 7595 7840 8680 9212 9920 10199 10528 11515 11656 12148 12152 13160 13888 14570 15040 15185 15190 15680 17360 18424 19840 20398 21056 21259 23030 23312 24296 24304 26320 27776 29140 30080 30370 30380 31360 34720 36848 40796 42112 42518 46060 46624 48592 48608 50995 52640 58280 60740 60760 69440 71393 73696 81592 85036 92120 93248 94147 97184 97216 101990 105280 106295 116560 121480 121520 138880 142739 142786 147392 148813 163184 170072 184240 186496 188294 194368 194432 203980 210560 212590 233120 242960 243040 285478 285572 294784 297626 326368 340144 356965 368480 376588 388736 407960 425180 466240 470735 485920 486080 570956 571144 595252 652736 659029 680288 713695 713930 736960 744065 753176 815920 850360 932480 941470 971840 972160 999173 1141912 1142288 1190504 1305472 1318058 1360576 1427390 1427860 1473920 1488130 1506352 1631840 1700720 1882940 1943680 1998346 2283824 2284576 2381008 2636116 2721152 2854780 2855720 2976260 3012704 3263680 3295145 3401440 3765880 3996692 4424909 4567648 4569152 4613203 4762016 4995865 5272232 5709560 5711440 5952520 6025408 6527360 6590290 6802880 6994211 7531760 7993384 8849818 9135296 9138304 9226406 9524032 9991730 10544464 11419120 11422880 11905040 12050816 13180580 13605760 13988422 15063520 15986768 17699636 18270592 18452812 19048064 19983460 21088928 22124545 22838240 22845760 23066015 23810080 26361160 27976844 30127040 30974363 31973536 34971055 35399272 36905624 39966920 42177856 44249090 45676480 45691520 46132030 47620160 52722320 55953688 60254080 61948726 63947072 69942110 70798544 73811248 79933840 84355712 88498180 91352960 92264060 95240320 105444640 111907376 123897452 127894144 139884220 141597088 147622496 154871815 159867680 176996360 184528120 210889280 216820541 223814752 247794904 279768440 283194176 295244992 309743630 319735360 353992720 369056240 421778560 433641082 447629504 495589808 559536880 566388352 590489984 619487260 639470720 707985440 738112480 867282164 895259008 991179616 1084102705 1119073760 1238974520 1415970880 1476224960 1734564328 1982359232 2168205410 2238147520 2477949040 2831941760 2952449920 3469128656 3964718464 4336410820 4476295040 4955898080 6938257312 8672821640 9911796160 13876514624 17345643280 19823592320 27753029248 34691286560 69382573120 138765146240
- Sum of all divisors σ(n): 406953953280
- Sum of proper divisors (its aliquot sum) s(n): 268188807040
- 138765146240 is an abundant number, because the sum of its proper divisors (268188807040) is greater than itself. Its abundance is 129423660800
Bases of 138765146240
- Binary: 100000010011110000110000011000100000002
- Hexadecimal: 0x204F0C1880
- Base-36: 1RQX6O3K
Squares and roots of 138765146240
- 138765146240 squared (1387651462402) is 19255765811008586137600
- 138765146240 cubed (1387651462403) is 2672029158727798657279700762624000
-
The
square root of 138765146240 is 372511.9410703501 -
The
cube root of 138765146240 is 5177.1823975507
Scales and comparisons
How big is 138765146240?- 138,765,146,240 seconds is equal to 4,412 years, 15 weeks, 5 days, 1 hour, 57 minutes, 20 seconds.
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To count from 1 to 138,765,146,240 would take you about eight thousand, eight hundred twenty-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 138765146240 cubic inches would be around 431.4 feet tall.
Recreational maths with 138765146240
- 138765146240 backwards is 042641567831
- 138765146240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138765146240's digits is 47
- More coming soon!
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