138072659168400
138,072,659,168,400 is an even composite number composed of seven prime numbers multiplied together.
138072659168400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138072659168400:
24 × 3 × 52 × 11 × 71 × 281 × 524287
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 71 × 281 × 524287)See below for interesting mathematical facts about the number 138072659168400 from the Numbermatics database.
Names of 138072659168400
- Cardinal: 138072659168400 can be written as One hundred thirty-eight trillion, seventy-two billion, six hundred fifty-nine million, one hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.380726591684 × 1014
Factors of 138072659168400
Divisors of 138072659168400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 71 75 80 88 100 110 120 132 142 150 165 176 200 213 220 240 264 275 281 284 300 330 355 400 426 440 528 550 562 568 600 660 710 781 825 843 852 880 1065 1100 1124 1136 1200 1320 1405 1420 1562 1650 1686 1704 1775 2130 2200 2248 2343 2640 2810 2840 3091 3124 3300 3372 3408 3550 3905 4215 4260 4400 4496 4686 5325 5620 5680 6182 6248 6600 6744 7025 7100 7810 8430 8520 9273 9372 10650 11240 11715 12364 12496 13200 13488 14050 14200 15455 15620 16860 17040 18546 18744 19525 19951 21075 21300 22480 23430 24728 28100 28400 30910 31240 33720 37092 37488 39050 39902 42150 42600 46365 46860 49456 56200 58575 59853 61820 62480 67440 74184 77275 78100 79804 84300 85200 92730 93720 99755 112400 117150 119706 123640 148368 154550 156200 159608 168600 185460 187440 199510 219461 231825 234300 239412 247280 299265 309100 312400 319216 337200 370920 399020 438922 463650 468600 478824 498775 524287 598530 618200 658383 741840 798040 877844 927300 937200 957648 997550 1048574 1097305 1197060 1236400 1316766 1496325 1572861 1596080 1755688 1854600 1995100 2097148 2194610 2394120 2621435 2633532 2992650 3145722 3291915 3511376 3709200 3990200 4194296 4389220 4788240 5242870 5267064 5486525 5767157 5985300 6291444 6583830 7864305 7980400 8388592 8778440 10485740 10534128 10973050 11534314 11970600 12582888 13107175 13167660 15728610 16459575 17301471 17556880 20971480 21946100 23068628 23941200 25165776 26214350 26335320 28835785 31457220 32919150 34602942 37224377 39321525 41942960 43892200 46137256 52428700 52670640 57671570 62914440 65838300 69205884 74448754 78643050 86507355 87784400 92274512 104857400 111673131 115343140 125828880 131676600 138411768 144178925 147324647 148897508 157286100 173014710 186121885 209714800 223346262 230686280 263353200 276823536 288357850 294649294 297795016 314572200 346029420 372243770 409468147 432536775 441973941 446692524 461372560 558365655 576715700 589298588 595590032 629144400 692058840 736623235 744487540 818936294 865073550 883947882 893385048 930609425 1116731310 1153431400 1178597176 1228404441 1384117680 1473246470 1488975080 1620571117 1637872588 1730147100 1767895764 1786770096 1861218850 2047340735 2209869705 2233462620 2306862800 2357194352 2456808882 2791828275 2946492940 2977950160 3241142234 3275745176 3460294200 3535791528 3683116175 3722437700 4094681470 4419739410 4466925240 4861713351 4913617764 5583656550 5892985880 6142022205 6482284468 6551490352 6920588400 7071583056 7366232350 7444875400 8102855585 8189362940 8839478820 8933850480 9723426702 9827235528 10236703675 10460049937 11049348525 11167313100 11785971760 12284044410 12964568936 14732464700 14889750800 16205711170 16378725880 17678957640 19446853404 19654471056 20473407350 20920099874 22098697050 22334626200 24308566755 24568088820 25929137872 29464929400 30710111025 31380149811 32411422340 32757451760 35357915280 38893706808 40514277925 40946814700 41840199748 44197394100 44669252400 48617133510 49136177640 52300249685 58929858800 61420222050 62760299622 64822844680 77787413616 81028555850 81893629400 83680399496 88394788200 97234267020 98272355280 104600499370 115060549307 121542833775 122840444100 125520599244 129645689360 156900749055 162057111700 163787258800 167360798992 176789576400 194468534040 209200998740 230121098614 243085667550 245680888200 251041198488 261501248425 313801498110 324114223400 345181647921 388937068080 418401997480 460242197228 486171335100 491361776400 502082396976 523002496850 575302746535 627602996220 648228446800 690363295842 784503745275 836803994960 920484394456 972342670200 1046004993700 1150605493070 1255205992440 1380726591684 1569007490550 1725908239605 1840968788912 1944685340400 2092009987400 2301210986140 2510411984880 2761453183368 2876513732675 3138014981100 3451816479210 4184019974800 4602421972280 5522906366736 5753027465350 6276029962200 6903632958420 8629541198025 9204843944560 11506054930700 12552059924400 13807265916840 17259082396050 23012109861400 27614531833680 34518164792100 46024219722800 69036329584200 138072659168400
- Sum of all divisors σ(n): 491039181766656
- Sum of proper divisors (its aliquot sum) s(n): 352966522598256
- 138072659168400 is an abundant number, because the sum of its proper divisors (352966522598256) is greater than itself. Its abundance is 214893863429856
Bases of 138072659168400
- Binary: 111110110010011100010111100110110001100100100002
- Hexadecimal: 0x7D938BCD8C90
- Base-36: 1CXXPCC6MO
Squares and roots of 138072659168400
- 138072659168400 squared (1380726591684002) is 19064059209833152579558560000
- 138072659168400 cubed (1380726591684003) is 2632225349645489893948262319808701504000000
-
The
square root of 138072659168400 is 11750432.2970859247 -
The
cube root of 138072659168400 is 51685.5604274607
Scales and comparisons
How big is 138072659168400?- 138,072,659,168,400 seconds is equal to 4,390,283 years, 24 weeks, 4 days, 19 hours, 40 minutes.
-
To count from 1 to 138,072,659,168,400 would take you about ten million, nine hundred seventy-five thousand, seven hundred eight 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 138072659168400 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138072659168400
- 138072659168400 backwards is 004861956270831
- 138072659168400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138072659168400's digits is 60
- More coming soon!
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The information we have on file for 138072659168400 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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