138316888734948
138,316,888,734,948 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138316888734948 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138316888734948 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138316888734948:
22 × 35 × 72 × 11 × 174 × 29 × 109
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 17 × 17 × 17 × 17 × 29 × 109)See below for interesting mathematical facts about the number 138316888734948 from the Numbermatics database.
Names of 138316888734948
- Cardinal: 138316888734948 can be written as One hundred thirty-eight trillion, three hundred sixteen billion, eight hundred eighty-eight million, seven hundred thirty-four thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 1.38316888734948 × 1014
Factors of 138316888734948
Divisors of 138316888734948
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 9 11 12 14 17 18 21 22 27 28 29 33 34 36 42 44 49 51 54 58 63 66 68 77 81 84 87 98 99 102 108 109 116 119 126 132 147 153 154 162 174 187 189 196 198 203 204 218 231 238 243 252 261 289 294 297 306 308 319 324 327 348 357 374 378 396 406 436 441 459 462 476 486 493 522 539 561 567 578 588 594 609 612 638 654 693 714 748 756 763 783 812 833 867 882 891 918 924 957 972 981 986 1044 1071 1078 1122 1134 1156 1188 1199 1218 1276 1308 1309 1323 1377 1386 1421 1428 1479 1526 1566 1617 1666 1683 1701 1734 1764 1782 1827 1836 1853 1914 1962 1972 2023 2079 2142 2156 2233 2244 2268 2289 2349 2398 2436 2499 2601 2618 2646 2673 2754 2772 2842 2871 2943 2958 3052 3132 3161 3179 3213 3234 3332 3366 3402 3451 3468 3564 3597 3654 3706 3828 3924 3927 3969 4046 4131 4158 4263 4284 4437 4466 4578 4698 4796 4851 4913 4998 5049 5202 5236 5292 5341 5346 5423 5481 5508 5559 5684 5742 5886 5916 6069 6237 6322 6358 6426 6468 6699 6732 6804 6867 6902 7047 7194 7308 7412 7497 7803 7854 7938 8092 8262 8316 8381 8393 8526 8613 8829 8874 8932 9156 9163 9396 9483 9537 9639 9702 9826 9996 10098 10353 10404 10682 10692 10791 10846 10962 11118 11484 11772 11781 11907 12138 12474 12644 12716 12789 12852 12971 13311 13398 13734 13804 14094 14161 14388 14553 14739 14994 15147 15606 15631 15708 15876 16023 16269 16443 16524 16677 16762 16786 17052 17226 17658 17748 18207 18326 18711 18966 19074 19278 19404 19652 20097 20196 20383 20601 20706 21364 21582 21692 21924 22127 22236 22253 22491 23409 23562 23814 24157 24276 24948 25143 25179 25578 25839 25942 26487 26622 26796 27468 27489 28188 28322 28449 28611 28917 29106 29478 29988 30294 31059 31212 31262 31501 32046 32373 32538 32886 33354 33524 33572 34391 34452 34771 35316 35343 36414 36652 37422 37932 37961 38148 38367 38556 38913 39933 40194 40766 41202 41412 42483 43164 43659 44217 44254 44506 44982 45441 46818 46893 47124 47628 48069 48314 48807 49329 50031 50286 50358 51156 51678 51884 52974 53244 53737 54043 54621 54978 56644 56898 57222 57834 58212 58667 58751 58956 60291 60588 61149 61803 62118 62524 63002 64092 64746 65076 65772 66381 66708 66759 67473 68782 69542 70227 70686 72471 72828 74844 75429 75537 75922 76734 77517 77826 79866 80388 81532 82404 82467 83521 84966 85347 85833 87318 88434 88508 89012 89964 90797 90882 92191 93177 93636 93786 94503 96138 96628 97119 97614 98658 100062 100572 100716 103173 103356 104313 105948 106029 107474 108086 109242 109956 113796 113883 114444 115101 115668 116739 117334 117502 119799 120582 122298 123606 124236 126004 127449 129492 130977 132651 132762 133518 134946 137564 139084 140454 140679 141372 142477 142681 144207 144942 146421 150093 150858 151074 151844 153468 154889 155034 155652 155771 159732 161211 162129 163863 164934 167042 169932 170694 171666 174636 176001 176253 176868 180873 181594 181764 183447 184382 185409 186354 187572 189006 192276 194238 195228 197316 199143 200124 200277 202419 206346 208626 212058 214948 216172 217413 218484 220507 226287 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119651287833 121972565022 123277084434 128308802166 129147421788 132487441317 140280820218 140995809108 142301325859 144531754164 149693602527 150671992086 155237810028 156821869314 159535050444 166046685156 170340995979 176649921756 181280325996 182958847533 184915626651 193721132682 199591470036 211493713662 216797631246 226007988129 227121327972 232856715042 235232803971 239302575666 243945130044 246554168868 256617604332 264974882634 280561640436 284602651718 290581699023 299387205054 301343984172 313643738628 317240570493 340681991958 349285072563 365917695066 369831253302 387442265364 397462323951 422987427324 426903977577 433595262492 449080807581 452015976258 465713430084 470465607942 478605151332 529949765268 548876542599 569205303436 581163398046 598774410108 634481140986 678023964387 681363983916 698570145126 705698411913 731835390132 739662506604 794924647902 853807955154 898161615162 904031952516 940931215884 1047855217689 1097753085198 1162326796092 1192386971853 1268962281972 1280711932731 1356047928774 1397140290252 1411396823826 1589849295804 1646629627797 1707615910308 1796323230324 2034071893161 2095710435378 2195506170396 2384773943706 2561423865462 2712095857548 2822793647652 3143565653067 3293259255594 3842135798193 4068143786322 4191420870756 4769547887412 4939888883391 5122847730924 6287131306134 6586518511188 7684271596386 8136287572644 9879777766782 11526407394579 12574262612268 15368543192772 19759555533564 23052814789158 34579222183737 46105629578316 69158444367474 138316888734948
- Sum of all divisors σ(n): 510380159889600
- Sum of proper divisors (its aliquot sum) s(n): 372063271154652
- 138316888734948 is an abundant number, because the sum of its proper divisors (372063271154652) is greater than itself. Its abundance is 233746382419704
Bases of 138316888734948
- Binary: 111110111001100011010010000010011111100111001002
- Hexadecimal: 0x7DCC6904FCE4
- Base-36: 1D11WGBE90
Squares and roots of 138316888734948
- 138316888734948 squared (1383168887349482) is 19131561709315984943796562704
- 138316888734948 cubed (1383168887349483) is 2646218092273250661219159960787541318179392
-
The
square root of 138316888734948 is 11760820.0706816359 -
The
cube root of 138316888734948 is 51716.0171125961
Scales and comparisons
How big is 138316888734948?- 138,316,888,734,948 seconds is equal to 4,398,049 years, 11 weeks, 2 days, 21 hours, 55 minutes, 48 seconds.
-
To count from 1 to 138,316,888,734,948 would take you about ten million, nine hundred ninety-five thousand, one hundred twenty-three 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 138316888734948 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138316888734948
- 138316888734948 backwards is 849437888613831
- 138316888734948 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138316888734948's digits is 81
- More coming soon!
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MLA style:
"Number 138316888734948 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 138316888734948 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138316888734948/
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Numbermatics. 2024. "Number 138316888734948 - Facts about the integer". https://numbermatics.com/n/138316888734948/
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