138718434816
138,718,434,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 138718434816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
138718434816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138718434816:
29 × 33 × 13 × 29 × 43 × 619
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 29 × 43 × 619)See below for interesting mathematical facts about the number 138718434816 from the Numbermatics database.
Names of 138718434816
- Cardinal: 138718434816 can be written as One hundred thirty-eight billion, seven hundred eighteen million, four hundred thirty-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38718434816 × 1011
Factors of 138718434816
Divisors of 138718434816
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 43 48 52 54 58 64 72 78 86 87 96 104 108 116 117 128 129 144 156 172 174 192 208 216 232 234 256 258 261 288 312 344 348 351 377 384 387 416 432 464 468 512 516 522 559 576 619 624 688 696 702 754 768 774 783 832 864 928 936 1032 1044 1118 1131 1152 1161 1238 1247 1248 1376 1392 1404 1508 1536 1548 1566 1664 1677 1728 1856 1857 1872 2064 2088 2236 2262 2304 2322 2476 2494 2496 2752 2784 2808 3016 3096 3132 3328 3354 3393 3456 3712 3714 3741 3744 4128 4176 4472 4524 4608 4644 4952 4988 4992 5031 5504 5568 5571 5616 6032 6192 6264 6656 6708 6786 6912 7424 7428 7482 7488 8047 8256 8352 8944 9048 9288 9904 9976 9984 10062 10179 11008 11136 11142 11223 11232 12064 12384 12528 13416 13572 13824 14848 14856 14964 14976 15093 16094 16211 16512 16704 16713 17888 17951 18096 18576 19808 19952 19968 20124 20358 22016 22272 22284 22446 22464 24128 24141 24768 25056 26617 26832 27144 29712 29928 29952 30186 32188 32422 33024 33408 33426 33669 35776 35902 36192 37152 39616 39904 40248 40716 44544 44568 44892 44928 48256 48282 48633 49536 50112 53234 53664 53853 54288 59424 59856 59904 60372 64376 64844 66048 66816 66852 67338 71552 71804 72384 72423 74304 79232 79808 79851 80496 81432 89136 89784 89856 96512 96564 97266 99072 100224 106468 107328 107706 108576 118848 119712 120744 128752 129688 133632 133704 134676 143104 143608 144768 144846 145899 148608 158464 159616 159702 160992 161559 162864 178272 179568 179712 193024 193128 194532 198144 200448 212936 214656 215412 217152 217269 233363 237696 239424 239553 241488 257504 259376 267408 269352 286208 287216 289536 289692 291798 297216 316928 319232 319404 321984 323118 325728 346021 356544 359136 386256 389064 400896 425872 429312 430824 434304 434538 437697 466726 475392 478848 479106 482976 484677 515008 518752 534816 538704 574432 579072 579384 583596 594432 638464 638808 643968 646236 651456 692042 700089 713088 718272 718659 771893 772512 778128 851744 858624 861648 868608 869076 875394 933452 950784 957696 958212 965952 969354 1030016 1037504 1038063 1069632 1077408 1148864 1158768 1167192 1277616 1287936 1292472 1302912 1384084 1400178 1426176 1436544 1437318 1543786 1545024 1556256 1703488 1723296 1737216 1738152 1750788 1866904 1915392 1916424 1931904 1938708 2060032 2075008 2076126 2100267 2139264 2154816 2297728 2315679 2317536 2334384 2555232 2575872 2584944 2605824 2768168 2800356 2852352 2873088 2874636 3087572 3090048 3112512 3114189 3406976 3446592 3476304 3501576 3733808 3832848 3863808 3877416 4120064 4150016 4152252 4200534 4278528 4309632 4595456 4631358 4635072 4668768 5110464 5169888 5211648 5536336 5600712 5746176 5749272 6175144 6180096 6225024 6228378 6300801 6813952 6893184 6947037 6952608 7003152 7467616 7665696 7727616 7754832 8300032 8304504 8401068 8557056 8619264 9190912 9262716 9270144 9337536 9342567 10034609 10220928 10339776 11072672 11201424 11498544 12350288 12360192 12450048 12456756 12601602 13627904 13786368 13894074 13905216 14006304 14935232 15331392 15509664 16609008 16802136 17238528 18525432 18540288 18675072 18685134 20069218 20441856 20679552 20841111 22145344 22402848 22997088 24700576 24900096 24913512 25203204 27572736 27788148 27810432 28012608 29870464 30103827 30662784 31019328 33218016 33604272 37050864 37080576 37350144 37370268 40138436 40883712 41359104 41682222 44290688 44805696 45994176 49401152 49827024 50406408 55576296 55620864 56025216 59740928 60207654 61325568 62038656 66436032 67208544 74101728 74700288 74740536 80276872 82718208 83364444 88581376 89611392 90311481 91988352 98802304 99654048 100812816 111152592 111241728 112050432 119481856 120415308 122651136 124077312 132872064 134417088 148203456 149481072 160553744 166728888 177162752 179222784 180622962 183976704 197604608 199308096 201625632 222305184 224100864 240830616 248154624 265744128 268834176 270934443 296406912 298962144 321107488 333457776 358445568 361245924 367953408 395209216 398616192 403251264 444610368 481661232 531488256 537668352 541868886 592813824 597924288 642214976 666915552 722491848 797232384 806502528 889220736 963322464 1075336704 1083737772 1185627648 1195848576 1284429952 1333831104 1444983696 1594464768 1613005056 1778441472 1926644928 2167475544 2391697152 2568859904 2667662208 2889967392 3226010112 3556882944 3853289856 4334951088 4783394304 5137719808 5335324416 5779934784 7706579712 8669902176 10670648832 11559869568 15413159424 17339804352 23119739136 34679608704 46239478272 69359217408 138718434816
- Sum of all divisors σ(n): 468844992000
- Sum of proper divisors (its aliquot sum) s(n): 330126557184
- 138718434816 is an abundant number, because the sum of its proper divisors (330126557184) is greater than itself. Its abundance is 191408122368
Bases of 138718434816
- Binary: 100000010011000100001101010110000000002
- Hexadecimal: 0x204C435600
- Base-36: 1RQ5DHC0
Squares and roots of 138718434816
- 138718434816 squared (1387184348162) is 19242804157800840953856
- 138718434816 cubed (1387184348163) is 2669331674240949733767456799850496
-
The
square root of 138718434816 is 372449.2379049795 -
The
cube root of 138718434816 is 5176.6014142389
Scales and comparisons
How big is 138718434816?- 138,718,434,816 seconds is equal to 4,410 years, 42 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,718,434,816 would take you about eight thousand, eight hundred twenty-one 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 138718434816 cubic inches would be around 431.4 feet tall.
Recreational maths with 138718434816
- 138718434816 backwards is 618434817831
- 138718434816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138718434816's digits is 54
- More coming soon!
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The information we have on file for 138718434816 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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