138488239142406400
138,488,239,142,406,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138488239142406400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2187 divisors.
138488239142406400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 138488239142406400:
28 × 52 × 132 × 192 × 372 × 5092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 19 × 19 × 37 × 37 × 509 × 509)See below for interesting mathematical facts about the number 138488239142406400 from the Numbermatics database.
Names of 138488239142406400
- Cardinal: 138488239142406400 can be written as One hundred thirty-eight quadrillion, four hundred eighty-eight trillion, two hundred thirty-nine billion, one hundred forty-two million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.384882391424064 × 1017
Factors of 138488239142406400
Divisors of 138488239142406400
- Number of divisors d(n): 2187
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 37 38 40 50 52 64 65 74 76 80 95 100 104 128 130 148 152 160 169 185 190 200 208 247 256 260 296 304 320 325 338 361 370 380 400 416 475 481 494 509 520 592 608 640 650 676 703 722 740 760 800 832 845 925 950 962 988 1018 1040 1184 1216 1235 1280 1300 1352 1369 1406 1444 1480 1520 1600 1664 1690 1805 1850 1900 1924 1976 2036 2080 2368 2405 2432 2470 2545 2600 2704 2738 2812 2888 2960 3040 3200 3211 3328 3380 3515 3610 3700 3800 3848 3952 4072 4160 4225 4693 4736 4810 4864 4940 5090 5200 5408 5476 5624 5776 5920 6080 6175 6253 6400 6422 6617 6760 6845 7030 7220 7400 7600 7696 7904 8144 8320 8450 9025 9139 9386 9472 9620 9671 9880 10180 10400 10816 10952 11248 11552 11840 12025 12160 12350 12506 12725 12844 13234 13357 13520 13690 14060 14440 14800 15200 15392 15808 16055 16288 16640 16900 17575 17797 18050 18278 18772 18833 19240 19342 19760 20360 20800 21632 21904 22496 23104 23465 23680 24050 24320 24700 25012 25450 25688 26011 26468 26714 27040 27380 28120 28880 29600 30400 30784 31265 31616 32110 32576 33085 33800 34225 35150 35594 36100 36556 37544 37666 38480 38684 39520 40720 41600 43264 43808 44992 45695 46208 46930 47360 48100 48355 49400 50024 50900 51376 52022 52936 53428 54080 54760 56240 57760 59200 60800 61009 61568 62530 63232 64220 65152 66170 66785 67600 68450 70300 71188 72200 73112 75088 75332 76960 77368 79040 80275 81440 83200 86021 87616 88985 89984 91390 92416 93860 94165 96200 96710 98800 100048 101800 102752 104044 105872 106856 108160 109520 112480 115520 117325 118400 118807 121600 122018 123136 125060 125723 128440 130055 130304 132340 133570 135200 136900 140600 142376 144400 146224 150176 150664 153920 154736 156325 158080 160550 162880 165425 172042 173641 175232 177970 179968 182780 183749 187720 188330 192400 193420 197600 200096 203600 205504 208088 211744 213712 216320 219040 224960 228475 231040 231361 234650 236800 237614 241775 244036 244829 250120 251446 256880 259081 260110 264680 267140 270400 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23393283638920 23976495696400 24624509093600 25290036366400 25608032385800 26632353681232 27207905528960 28034056506560 28472088639475 28791733709440 29241604548650 29509533164800 32778281453824 33290442101540 34009881911200 35042570633200 35989667136800 36444273458528 37429253822272 38362393114240 39399214549760 40972851817280 41613052626925 43129317702400 43277574732002 45555341823160 46786567277840 47952991392800 49249018187200 50580072732800 51216064771600 53264707362464 54415811057920 56068113013120 56944177278950 57583467418880 58483209097300 66580884203080 68019763822400 70085141266400 71979334273600 72888546917056 74858507644544 76724786228480 81945703634560 83226105253850 86555149464004 91110683646320 93573134555680 95905982785600 98498036374400 101160145465600 102432129543200 106529414724928 108193936830005 112136226026240 113888354557900 116966418194600 133161768406160 136039527644800 140170282532800 143958668547200 145777093834112 149717015289088 163891407269120 166452210507700 173110298928008 182221367292640 187146269111360 191811965571200 196996072748800 204864259086400 213058829449856 216387873660010 227776709115800 233932836389200 266323536812320 272079055289600 280340565065600 287917337094400 291554187668224 332904421015400 346220597856016 364442734585280 374292538222720 383623931142400 409728518172800 426117658899712 432775747320020 455553418231600 467865672778400 532647073624640 540969684150025 560681130131200 665808842030800 692441195712032 728885469170560 748585076445440 819457036345600 865551494640040 911106836463200 935731345556800 1065294147249280 1081939368300050 1331617684061600 1384882391424064 1457770938341120 1731102989280080 1822213672926400 1871462691113600 2130588294498560 2163878736600100 2663235368123200 2769764782848128 3462205978560160 3644427345852800 3742925382227200 4327757473200200 5326470736246400 5539529565696256 6924411957120320 7288854691705600 8655514946400400 10652941472492800 13848823914240640 17311029892800800 27697647828481280 34622059785601600 69244119571203200 138488239142406400
- Sum of all divisors σ(n): 403406032420349091
- Sum of proper divisors (its aliquot sum) s(n): 264917793277942691
- 138488239142406400 is an abundant number, because the sum of its proper divisors (264917793277942691) is greater than itself. Its abundance is 126429554135536291
Bases of 138488239142406400
- Binary: 1111011000000001001010001110110111010011100001001000000002
- Hexadecimal: 0x1EC0251DBA70900
- Base-36: 11VLZERP0JR4
Squares and roots of 138488239142406400
- 138488239142406400 squared (1384882391424064002) is 19178992380764344136938782760960000
- 138488239142406400 cubed (1384882391424064003) is 2656064883337682754086706372271467422810374144000000
-
138488239142406400 is a
perfect square number . Itssquare root is 372140080 -
The
cube root of 138488239142406400 is 517373.6399677967
Scales and comparisons
How big is 138488239142406400?- 138,488,239,142,406,400 seconds is equal to 4,403,497,632 years, 24 weeks, 6 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,488,239,142,406,400 would take you about thirteen billion, two hundred ten million, four hundred ninety-two thousand, eight hundred ninety-seven 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 138488239142406400 cubic inches would be around 43114.5 feet tall.
Recreational maths with 138488239142406400
- 138488239142406400 backwards is 004604241932884831
- The number of decimal digits it has is: 18
- The sum of 138488239142406400's digits is 67
- More coming soon!
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"Number 138488239142406400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138488239142406400 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138488239142406400/
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The information we have on file for 138488239142406400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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