138885138558144
138,885,138,558,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 138885138558144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1400 divisors.
138885138558144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred divisors.
Prime factorization of 138885138558144:
26 × 34 × 113 × 174 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 17 × 17 × 17 × 17 × 241)See below for interesting mathematical facts about the number 138885138558144 from the Numbermatics database.
Names of 138885138558144
- Cardinal: 138885138558144 can be written as One hundred thirty-eight trillion, eight hundred eighty-five billion, one hundred thirty-eight million, five hundred fifty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38885138558144 × 1014
Factors of 138885138558144
Divisors of 138885138558144
- Number of divisors d(n): 1400
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 81 88 96 99 102 108 121 132 136 144 153 162 176 187 192 198 204 216 241 242 264 272 288 289 297 306 324 352 363 374 396 408 432 459 482 484 528 544 561 576 578 594 612 648 704 723 726 748 792 816 864 867 891 918 964 968 1056 1088 1089 1122 1156 1188 1224 1296 1331 1377 1446 1452 1496 1584 1632 1683 1728 1734 1782 1836 1928 1936 2057 2112 2169 2178 2244 2312 2376 2448 2592 2601 2651 2662 2754 2892 2904 2992 3168 3179 3264 3267 3366 3468 3564 3672 3856 3872 3993 4097 4114 4338 4356 4488 4624 4752 4896 4913 5049 5184 5202 5302 5324 5508 5784 5808 5984 6171 6336 6358 6507 6534 6732 6936 7128 7344 7712 7744 7803 7953 7986 8194 8228 8676 8712 8976 9248 9504 9537 9792 9801 9826 10098 10404 10604 10648 11016 11568 11616 11968 11979 12291 12342 12716 13014 13068 13464 13872 14256 14688 14739 15147 15424 15606 15906 15972 16388 16456 17352 17424 17952 18496 18513 19008 19074 19521 19602 19652 20196 20808 21208 21296 22032 22627 23136 23232 23409 23859 23958 24582 24684 25432 26028 26136 26928 27744 28512 28611 29161 29376 29478 30294 31212 31812 31944 32776 32912 34704 34848 34969 35904 35937 36873 37026 38148 39042 39204 39304 40392 41616 42416 42592 44064 44217 45067 45254 46272 46818 47718 47916 49164 49368 50864 52056 52272 53856 54043 55488 55539 57024 57222 58322 58956 60588 62424 63624 63888 65552 65824 67881 69408 69649 69696 69938 71577 71874 73746 74052 76296 78084 78408 78608 80784 83232 83521 84832 85184 85833 87483 88128 88434 90134 90508 93636 95436 95832 98328 98736 101728 104112 104544 104907 107712 107811 108086 110619 111078 114444 116644 117912 121176 124848 127248 127776 131104 131648 132651 135201 135762 138816 139298 139876 143154 143748 147492 148104 152592 156168 156816 157216 161568 162129 166464 166617 167042 169664 171666 174966 176868 180268 181016 187272 190872 191664 196656 197472 203456 203643 208224 208947 209088 209814 214731 215622 216172 221238 222156 228888 233288 235824 242352 249696 250563 254496 255552 257499 262208 262449 265302 270402 271524 278596 279752 286308 287496 294984 296208 305184 312336 313632 314432 314721 320771 323136 324258 331857 333234 334084 343332 349932 353736 360536 362032 374544 381744 383328 384659 393312 394944 397953 405603 407286 416448 417894 419628 429462 431244 432344 442476 444312 457776 466576 471648 484704 486387 495737 499392 501126 508992 514998 524898 530604 540804 543048 557192 559504 572616 574992 589968 592416 594473 610368 610929 624672 626841 627264 629442 641542 648516 663714 666468 668168 686664 699864 707472 721072 724064 749088 751689 763488 766139 766656 769318 786624 787347 795906 811206 814572 835788 839256 858924 862488 864688 884952 888624 915552 918731 933152 943296 944163 962313 969408 972774 991474 1002252 1029996 1049796 1061208 1081608 1086096 1114384 1119008 1145232 1149984 1153977 1179936 1184033 1184832 1188946 1216809 1221858 1249344 1253682 1258884 1283084 1297032 1327428 1332936 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46295046186048 69442569279072 138885138558144
- Sum of all divisors σ(n): 483136503926736
- Sum of proper divisors (its aliquot sum) s(n): 344251365368592
- 138885138558144 is an abundant number, because the sum of its proper divisors (344251365368592) is greater than itself. Its abundance is 205366226810448
Bases of 138885138558144
- Binary: 111111001010000101101110101100100101100110000002
- Hexadecimal: 0x7E50B7592CC0
- Base-36: 1D8AY9L800
Squares and roots of 138885138558144
- 138885138558144 squared (1388851385581442) is 19289081712314857239268724736
- 138885138558144 cubed (1388851385581443) is 2678966786274210470364399532997776667049984
-
The
square root of 138885138558144 is 11784953.9056435855 -
The
cube root of 138885138558144 is 51786.7423023849
Scales and comparisons
How big is 138885138558144?- 138,885,138,558,144 seconds is equal to 4,416,117 years, 41 weeks, 6 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,885,138,558,144 would take you about eleven million, forty thousand, two hundred ninety-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 138885138558144 cubic inches would be around 4315.6 feet tall.
Recreational maths with 138885138558144
- 138885138558144 backwards is 441855831588831
- 138885138558144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138885138558144's digits is 72
- More coming soon!
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"Number 138885138558144 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138885138558144 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138885138558144/
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The information we have on file for 138885138558144 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!
Keywords: Divisors of 138885138558144, math, Factors of 138885138558144, curriculum, school, college, exams, university, Prime factorization of 138885138558144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred eighty-five billion, one hundred thirty-eight million, five hundred fifty-eight thousand, one hundred forty-four.