138308448360217600
138,308,448,360,217,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138308448360217600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
138308448360217600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138308448360217600:
210 × 52 × 17 × 31 × 41 × 157 × 257 × 6197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 31 × 41 × 157 × 257 × 6197)See below for interesting mathematical facts about the number 138308448360217600 from the Numbermatics database.
Names of 138308448360217600
- Cardinal: 138308448360217600 can be written as One hundred thirty-eight quadrillion, three hundred eight trillion, four hundred forty-eight billion, three hundred sixty million, two hundred seventeen thousand, six hundred.
Scientific notation
- Scientific notation: 1.383084483602176 × 1017
Factors of 138308448360217600
Divisors of 138308448360217600
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 41 50 62 64 68 80 82 85 100 124 128 136 155 157 160 164 170 200 205 248 256 257 272 310 314 320 328 340 400 410 425 496 512 514 527 544 620 628 640 656 680 697 775 785 800 820 850 992 1024 1025 1028 1054 1088 1240 1256 1271 1280 1285 1312 1360 1394 1550 1570 1600 1640 1700 1984 2050 2056 2108 2176 2480 2512 2542 2560 2570 2624 2635 2669 2720 2788 3100 3140 3200 3280 3400 3485 3925 3968 4100 4112 4216 4352 4369 4867 4960 5024 5084 5120 5140 5248 5270 5338 5440 5576 6197 6200 6280 6355 6400 6425 6437 6560 6800 6970 7850 7936 7967 8200 8224 8432 8704 8738 9734 9920 10048 10168 10280 10496 10537 10540 10676 10880 11152 12394 12400 12560 12710 12800 12850 12874 13120 13175 13345 13600 13940 15700 15872 15934 16400 16448 16864 17408 17425 17476 19468 19840 20096 20336 20560 20992 21074 21080 21352 21607 21760 21845 22304 24335 24788 24800 25120 25420 25600 25700 25748 26240 26350 26690 27200 27880 30985 31400 31744 31775 31868 32185 32800 32896 33728 34850 34952 38936 39680 39835 40192 40349 40672 41120 41984 42148 42160 42704 43214 43520 43690 44608 48670 49576 49600 50240 50840 51400 51496 52480 52685 52700 53380 54400 55760 61970 62800 63550 63736 64370 65600 65792 66725 67456 69700 69904 77872 79360 79670 80384 80698 81344 82240 82739 84296 84320 85408 86428 87040 87380 89216 97340 99152 99200 100480 101680 102800 102992 104960 105349 105370 105400 106760 108035 108800 109225 109429 111520 121675 123940 125600 127100 127472 128740 131200 131584 133450 134912 135439 139400 139808 154925 155744 158720 159340 160768 160925 161396 162688 164480 165478 168592 168640 170816 172856 174760 178432 179129 192107 194680 198304 198400 199175 199547 200960 201745 203360 205600 205984 209920 210698 210740 210800 213520 216070 217600 218450 218858 223040 243350 247880 251200 254077 254200 254944 257480 262400 263168 263425 266900 269824 270878 278800 279616 309850 311488 318680 321850 322792 325376 326647 328960 330956 337184 337280 341632 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11159306790400 12402120548800 12712173562520 12955081337600 13122243677440 13125979724800 13177253083100 13454129217920 13602325763200 13764773921200 13942383907280 14208798886400 15828387315200 15890216953150 16402804596800 16817661522400 16866883946368 17360166732800 17427979884100 17618910619136 19843392878080 20339477700032 21083604932960 21486476364800 21526606748672 21610695056284 21763721221120 22023638273920 22307814251648 22318613580800 24804241097600 25424347125040 25910162675200 26244487354880 26354506166200 26908258435840 27013368820355 27204651526400 27529547842400 27884767814560 28417597772800 31656774630400 31780433906300 32805609193600 33635323044800 33733767892736 34855959768200 35237821238272 39686785756160 40678955400064 42167209865920 43221390112568 44047276547840 44615628503296 49608482195200 50848694250080 51820325350400 52488974709760 52709012332400 53816516871680 54026737640710 54409303052800 55059095684800 55769535629120 63560867812600 65611218387200 67270646089600 67467535785472 69711919536400 81357910800128 84334419731840 86442780225136 88094553095680 89231257006592 99216964390400 101697388500160 105418024664800 107633033743360 108053475281420 108818606105600 110118191369600 111539071258240 127121735625200 131222436774400 134541292179200 134935071570944 135066844101775 139423839072800 162715821600256 168668839463680 172885560450272 176189106191360 178462514013184 198433928780800 203394777000320 210836049329600 216106950562840 220236382739200 223078142516480 254243471250400 262444873548800 269082584358400 270133688203550 278847678145600 325431643200512 337337678927360 345771120900544 406789554000640 421672098659200 432213901125680 440472765478400 446156285032960 508486942500800 538165168716800 540267376407100 557695356291200 674675357854720 691542241801088 813579108001280 843344197318400 864427802251360 880945530956800 892312570065920 1016973885001600 1080534752814200 1115390712582400 1383084483602176 1627158216002560 1686688394636800 1728855604502720 2033947770003200 2161069505628400 2230781425164800 2766168967204352 3373376789273600 3457711209005440 4067895540006400 4322139011256800 4461562850329600 5532337934408704 6915422418010880 8135791080012800 8644278022513600 13830844836021760 17288556045027200 27661689672043520 34577112090054400 69154224180108800 138308448360217600
- Sum of all divisors σ(n): 387864181441594368
- Sum of proper divisors (its aliquot sum) s(n): 249555733081376768
- 138308448360217600 is an abundant number, because the sum of its proper divisors (249555733081376768) is greater than itself. Its abundance is 111247284721159168
Bases of 138308448360217600
- Binary: 1111010110101111011001101000011011111001000111100000000002
- Hexadecimal: 0x1EB5ECD0DF23C00
- Base-36: 11TU940VCZ5S
Squares and roots of 138308448360217600
- 138308448360217600 squared (1383084483602176002) is 19129226887810978526326319349760000
- 138308448360217600 cubed (1383084483602176003) is 2645733689183690756720260309222478345484107776000000
-
The
square root of 138308448360217600 is 371898438.2330982577 -
The
cube root of 138308448360217600 is 517149.6515274005
Scales and comparisons
How big is 138308448360217600?- 138,308,448,360,217,600 seconds is equal to 4,397,780,841 years, 38 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,308,448,360,217,600 would take you about thirteen billion, one hundred ninety-three million, three hundred forty-two thousand, five hundred twenty-five 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 138308448360217600 cubic inches would be around 43095.8 feet tall.
Recreational maths with 138308448360217600
- 138308448360217600 backwards is 006712063844803831
- 138308448360217600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138308448360217600's digits is 64
- More coming soon!
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Cite this page
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"Number 138308448360217600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138308448360217600 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138308448360217600/
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The information we have on file for 138308448360217600 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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