238342638647241216
238,342,638,647,241,216 is an even composite number composed of four prime numbers multiplied together.
What does the number 238342638647241216 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2160 divisors.
238342638647241216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 238342638647241216:
29 × 317 × 112 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 31 × 31 × 31)See below for interesting mathematical facts about the number 238342638647241216 from the Numbermatics database.
Names of 238342638647241216
- Cardinal: 238342638647241216 can be written as Two hundred thirty-eight quadrillion, three hundred forty-two trillion, six hundred thirty-eight billion, six hundred forty-seven million, two hundred forty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.38342638647241216 × 1017
Factors of 238342638647241216
Divisors of 238342638647241216
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 81 88 93 96 99 108 121 124 128 132 144 162 176 186 192 198 216 242 243 248 256 264 279 288 297 324 341 352 363 372 384 396 432 484 486 496 512 528 558 576 594 648 682 704 726 729 744 768 792 837 864 891 961 968 972 992 1023 1056 1089 1116 1152 1188 1296 1364 1408 1452 1458 1488 1536 1584 1674 1728 1782 1922 1936 1944 1984 2046 2112 2178 2187 2232 2304 2376 2511 2592 2673 2728 2816 2883 2904 2916 2976 3069 3168 3267 3348 3456 3564 3751 3844 3872 3888 3968 4092 4224 4356 4374 4464 4608 4752 5022 5184 5346 5456 5632 5766 5808 5832 5952 6138 6336 6534 6561 6696 6912 7128 7502 7533 7688 7744 7776 7936 8019 8184 8448 8649 8712 8748 8928 9207 9504 9801 10044 10368 10571 10692 10912 11253 11532 11616 11664 11904 12276 12672 13068 13122 13392 13824 14256 15004 15066 15376 15488 15552 15872 16038 16368 16896 17298 17424 17496 17856 18414 19008 19602 19683 20088 20736 21142 21384 21824 22506 22599 23064 23232 23328 23808 24057 24552 25344 25947 26136 26244 26784 27621 28512 29403 29791 30008 30132 30752 30976 31104 31713 32076 32736 33759 34596 34848 34992 35712 36828 38016 39204 39366 40176 41472 42284 42768 43648 45012 45198 46128 46464 46656 47616 48114 49104 50688 51894 52272 52488 53568 55242 57024 58806 59049 59582 60016 60264 61504 61952 62208 63426 64152 65472 67518 67797 69192 69696 69984 71424 72171 73656 76032 77841 78408 78732 80352 82863 84568 85536 87296 88209 89373 90024 90396 92256 92928 93312 95139 96228 98208 101277 103788 104544 104976 107136 110484 114048 116281 117612 118098 119164 120032 120528 123008 124416 126852 128304 130944 135036 135594 138384 139392 139968 142848 144342 147312 152064 155682 156816 157464 160704 165726 169136 171072 174592 176418 177147 178746 180048 180792 184512 185856 186624 190278 192456 196416 202554 203391 207576 209088 209952 214272 216513 220968 228096 232562 233523 235224 236196 238328 240064 241056 246016 248589 253704 256608 261888 264627 268119 270072 271188 276768 278784 279936 285417 288684 294624 303831 311364 313632 314928 321408 327701 331452 338272 342144 348843 352836 354294 357492 360096 361584 369024 373248 380556 384912 392832 405108 406782 415152 418176 419904 428544 433026 441936 456192 465124 467046 470448 472392 476656 480128 482112 492032 497178 507408 513216 523776 529254 531441 536238 540144 542376 553536 557568 559872 570834 577368 589248 607662 610173 622728 627264 629856 642816 649539 655402 662904 676544 684288 697686 700569 705672 708588 714984 720192 723168 738048 745767 761112 769824 785664 793881 804357 810216 813564 830304 836352 839808 856251 866052 883872 911493 930248 934092 940896 944784 953312 960256 964224 983103 994356 1014816 1026432 1046529 1058508 1062882 1072476 1080288 1084752 1107072 1119744 1141668 1154736 1178496 1215324 1220346 1245456 1254528 1259712 1285632 1299078 1310804 1325808 1353088 1368576 1395372 1401138 1411344 1417176 1429968 1440384 1446336 1476096 1491534 1522224 1539648 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62003808180864 63541092681216 66875038902144 68964883867836 71189557540992 72954587893248 75234418764912 77661335499264 80088252233616 81736158658176 82073911379904 82671744241152 84638721110526 87369002436672 89166718536192 91953178490448 94919410054656 100312558353216 103447325801754 106784336311488 108981544877568 109431881839872 112851628147368 116492003248896 120132378350424 122604237987264 123110867069856 124007616361728 133750077804288 137929767735672 142379115081984 150468837529824 155170988702631 160176504467232 163472317316352 164147822759808 169277442221052 174738004873344 183906356980896 200625116706432 206894651603508 213568672622976 218863763679744 225703256294736 232984006497792 240264756700848 245208475974528 246221734139712 248015232723456 267500155608576 275859535471344 284758230163968 300937675059648 310341977405262 320353008934464 326944634632704 328295645519616 338554884442104 349476009746688 367812713961792 401250233412864 413789303207016 427137345245952 451406512589472 465512966107893 480529513401696 490416951949056 492443468279424 551719070942688 601875350119296 620683954810524 640706017868928 656591291039232 677109768884208 698952019493376 735625427923584 802500466825728 827578606414032 854274690491904 902813025178944 931025932215786 961059026803392 980833903898112 984886936558848 1103438141885376 1203750700238592 1241367909621048 1281412035737856 1354219537768416 1471250855847168 1655157212828064 1805626050357888 1862051864431572 1922118053606784 1969773873117696 2206876283770752 2407501400477184 2482735819242096 2562824071475712 2708439075536832 2942501711694336 3310314425656128 3611252100715776 3724103728863144 3844236107213568 4413752567541504 4965471638484192 5416878151073664 6620628851312256 7222504201431552 7448207457726288 7688472214427136 8827505135083008 9930943276968384 10833756302147328 13241257702624512 14896414915452576 19861886553936768 21667512604294656 26482515405249024 29792829830905152 39723773107873536 59585659661810304 79447546215747072 119171319323620608 238342638647241216
- Sum of all divisors σ(n): 811343783969182464
- Sum of proper divisors (its aliquot sum) s(n): 573001145321941248
- 238342638647241216 is an abundant number, because the sum of its proper divisors (573001145321941248) is greater than itself. Its abundance is 334658506674700032
Bases of 238342638647241216
- Binary: 11010011101100001101011101111101110110010111101010000000002
- Hexadecimal: 0x34EC35DF765EA00
- Base-36: 1T6TEWMI0000
Squares and roots of 238342638647241216
- 238342638647241216 squared (2383426386472412162) is 56807213397329402106456807689158656
- 238342638647241216 cubed (2383426386472412163) is 13539581135316401729874645749628823731783726526365696
-
The
square root of 238342638647241216 is 488203480.7815704379 -
The
cube root of 238342638647241216 is 620012.6936763255
Scales and comparisons
How big is 238342638647241216?- 238,342,638,647,241,216 seconds is equal to 7,578,558,666 years, 41 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 238,342,638,647,241,216 would take you about twenty-two billion, seven hundred thirty-five million, six hundred seventy-six thousand 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 238342638647241216 cubic inches would be around 51667.7 feet tall.
Recreational maths with 238342638647241216
- 238342638647241216 backwards is 612142746836243832
- 238342638647241216 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 238342638647241216's digits is 72
- More coming soon!
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"Number 238342638647241216 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 238342638647241216 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/238342638647241216/
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The information we have on file for 238342638647241216 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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