138170978064
138,170,978,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 138170978064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138170978064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138170978064:
24 × 35 × 7 × 17 × 107 × 2791
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 107 × 2791)See below for interesting mathematical facts about the number 138170978064 from the Numbermatics database.
Names of 138170978064
- Cardinal: 138170978064 can be written as One hundred thirty-eight billion, one hundred seventy million, nine hundred seventy-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38170978064 × 1011
Factors of 138170978064
Divisors of 138170978064
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 81 84 102 107 108 112 119 126 136 144 153 162 168 189 204 214 216 238 243 252 272 306 321 324 336 357 378 408 428 432 459 476 486 504 567 612 642 648 714 749 756 816 856 918 952 963 972 1008 1071 1134 1224 1284 1296 1377 1428 1498 1512 1701 1712 1819 1836 1904 1926 1944 2142 2247 2268 2448 2568 2754 2791 2856 2889 2996 3024 3213 3402 3638 3672 3852 3888 4131 4284 4494 4536 5136 5457 5508 5582 5712 5778 5992 6426 6741 6804 7276 7344 7704 8262 8373 8568 8667 8988 9072 9639 10914 11016 11164 11556 11984 12733 12852 13482 13608 14552 15408 16371 16524 16746 17136 17334 17976 19278 19537 20223 21828 22032 22328 23112 25119 25466 25704 26001 26964 27216 28917 29104 32742 33048 33492 34668 35952 38199 38556 39074 40446 43656 44656 46224 47447 49113 50238 50932 51408 52002 53928 57834 58611 60669 65484 66096 66984 69336 75357 76398 77112 78148 80892 87312 94894 98226 100476 101864 104004 107856 114597 115668 117222 121338 130968 133968 138672 142341 147339 150714 152796 154224 156296 161784 175833 182007 189788 196452 200952 203728 208008 226071 229194 231336 234444 242676 261936 284682 294678 298637 301428 305592 312592 323568 332129 343791 351666 364014 379576 392904 401904 416016 427023 442017 452142 458388 462672 468888 485352 527499 569364 589356 597274 602856 611184 664258 678213 687582 703332 728028 759152 785808 854046 884034 895911 904284 916776 937776 970704 996387 1031373 1054998 1138728 1178712 1194548 1205712 1281069 1328516 1356426 1375164 1406664 1456056 1582497 1708092 1768068 1791822 1808568 1833552 1992774 2062746 2090459 2109996 2277456 2357424 2389096 2562138 2657032 2687733 2712852 2750328 2813328 2912112 2989161 3094119 3164994 3416184 3536136 3583644 3617136 3843207 3985548 4125492 4180918 4219992 4747491 4778192 5076829 5124276 5314064 5375466 5425704 5500656 5978322 6188238 6271377 6329988 6832368 7072272 7167288 7686414 7971096 8063199 8250984 8361836 8439984 8967483 9494982 10153658 10248552 10750932 10851408 11529621 11956644 12376476 12542754 12659976 14334576 15230487 15372828 15942192 16126398 16501968 16723672 17934966 18814131 18989964 20307316 20497104 21501864 23059242 23913288 24189597 24752952 25085508 25319952 26902449 30460974 30745656 32252796 33447344 35537803 35869932 37628262 37979928 40614632 43003728 45691461 46118484 47826576 48379194 49505904 50171016 53804898 56442393 60921948 61491312 64505592 71075606 71739864 72568791 75256524 75959856 80707347 81229264 91382922 92236968 96758388 100342032 106613409 107609796 112884786 121843896 129011184 137074383 142151212 143479728 145137582 150513048 161414694 169327179 182765844 184473936 193516776 213226818 215219592 225769572 243687792 274148766 284302424 290275164 301026096 319840227 322829388 338654358 365531688 387033552 411223149 426453636 430439184 451539144 507981537 548297532 568604848 580550328 639680454 645658776 677308716 731063376 822446298 852907272 903078288 959520681 1015963074 1096595064 1161100656 1233669447 1279360908 1291317552 1354617432 1644892596 1705814544 1919041362 2031926148 2193190128 2467338894 2558721816 2709234864 2878562043 3289785192 3838082724 4063852296 4934677788 5117443632 5757124086 6579570384 7676165448 8127704592 8635686129 9869355576 11514248172 15352330896 17271372258 19738711152 23028496344 34542744516 46056992688 69085489032 138170978064
- Sum of all divisors σ(n): 489964640256
- Sum of proper divisors (its aliquot sum) s(n): 351793662192
- 138170978064 is an abundant number, because the sum of its proper divisors (351793662192) is greater than itself. Its abundance is 213622684128
Bases of 138170978064
- Binary: 100000001010111010000111001111000100002
- Hexadecimal: 0x202BA1CF10
- Base-36: 1RH3FL00
Squares and roots of 138170978064
- 138170978064 squared (1381709780642) is 19091219179162369188096
- 138170978064 cubed (1381709780643) is 2637852426419059798982681905926144
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The
square root of 138170978064 is 371713.5699217881 -
The
cube root of 138170978064 is 5169.7825615807
Scales and comparisons
How big is 138170978064?- 138,170,978,064 seconds is equal to 4,393 years, 21 weeks, 2 days, 3 hours, 14 minutes, 24 seconds.
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To count from 1 to 138,170,978,064 would take you about eight thousand, seven hundred eighty-six 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 138170978064 cubic inches would be around 430.8 feet tall.
Recreational maths with 138170978064
- 138170978064 backwards is 460879071831
- 138170978064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138170978064's digits is 54
- More coming soon!
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