40198472516125
40,198,472,516,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 40198472516125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
40198472516125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40198472516125:
53 × 73 × 113 × 312 × 733
(5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 31 × 31 × 733)See below for interesting mathematical facts about the number 40198472516125 from the Numbermatics database.
Names of 40198472516125
- Cardinal: 40198472516125 can be written as Forty trillion, one hundred ninety-eight billion, four hundred seventy-two million, five hundred sixteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.0198472516125 × 1013
Factors of 40198472516125
Divisors of 40198472516125
- Number of divisors d(n): 384
-
Complete list of divisors:
1 5 7 11 25 31 35 49 55 77 121 125 155 175 217 245 275 341 343 385 539 605 733 775 847 875 961 1085 1225 1331 1375 1519 1705 1715 1925 2387 2695 3025 3665 3751 3773 3875 4235 4805 5131 5425 5929 6125 6655 6727 7595 8063 8525 8575 9317 9625 10571 10633 11935 13475 15125 16709 18325 18755 18865 21175 22723 24025 25655 26257 27125 29645 33275 33635 35917 37975 40315 41261 41503 42625 42875 46585 47089 52855 53165 56441 59675 65219 67375 73997 83545 88693 91625 93775 94325 105875 113615 116281 116963 120125 128275 131285 148225 159061 166375 168175 179585 183799 189875 201575 206305 207515 232925 235445 249953 251419 264275 265825 282205 288827 298375 326095 329623 369985 395087 417725 443465 456533 468875 471625 517979 568075 581405 584815 620851 641375 656425 704413 741125 795305 813967 840875 897925 918995 975623 1007875 1031525 1037575 1113427 1164625 1177225 1249765 1257095 1279091 1286593 1321375 1329125 1411025 1444135 1630475 1648115 1749671 1849925 1975435 2021789 2088625 2217325 2282665 2589895 2749483 2765609 2840375 2907025 2924075 3104255 3282125 3522065 3625853 3976525 4069835 4345957 4489625 4594975 4878115 4930891 5157625 5187875 5567135 5697769 5886125 6248825 6285475 6395455 6432965 6829361 7055125 7220675 7748543 7793989 8152375 8240575 8748355 8953637 9249625 9877175 10108945 11086625 11413325 12247697 12949475 13747415 13828045 14152523 14535125 14620375 15521275 17610325 18129265 19246381 19882625 20349175 21729785 22974875 24390575 24654455 27835675 28488845 30244313 30421699 31244125 31427375 31977275 32164825 34146805 34516237 36103375 38742715 38969945 39884383 41202875 43741775 44768185 47805527 49385875 50544725 54239801 57066625 61238485 62675459 64747375 68737075 69140225 70762615 77606375 85233973 85733879 88051625 90646325 96231905 101745875 108648925 121952875 123272275 134724667 139178375 142444225 151221565 152108495 159886375 160824125 170734025 172581185 193713575 194849725 199421915 211710191 218708875 223840925 239027635 241613659 252723625 271199005 306192425 313377295 334638689 343685375 345701125 353813075 379678607 426169865 428669395 438728213 453231625 481159525 543244625 596637811 616361375 673623335 712221125 756107825 760542475 853670125 862905925 937573703 943072669 968567875 974248625 997109575 1058550955 1119204625 1195138175 1208068295 1355995025 1481971337 1530962125 1566886475 1673193445 1769065375 1898393035 2130849325 2143346975 2193641065 2405797625 2657750249 2983189055 3368116675 3780539125 3802712375 4176464677 4314529625 4687868515 4715363345 4985547875 5292754775 5975690875 6040341475 6563015921 6779975125 7409856685 7834432375 8365967225 9491965175 10373799359 10654246625 10716734875 10968205325 13288751245 14915945275 16840583375 20882323385 23439342575 23576816725 26463773875 29235252739 30201707375 32815079605 37049283425 41829836125 45941111447 47459825875 51868996795 54841026625 66443756225 74579726375 104411616925 117196712875 117884083625 146176263695 164075398025 185246417125 229705557235 259344983975 321587780129 332218781125 522058084625 730881318475 820376990125 1148527786175 1296724919875 1607938900645 3654406592375 5742638930875 8039694503225 40198472516125
- Sum of all divisors σ(n): 66584167603200
- Sum of proper divisors (its aliquot sum) s(n): 26385695087075
- 40198472516125 is a deficient number, because the sum of its proper divisors (26385695087075) is less than itself. Its deficiency is 13812777429050
Bases of 40198472516125
- Binary: 10010010001111011011111010110011000010000111012
- Hexadecimal: 0x248F6FACC21D
- Base-36: E8YX8N4F1
Squares and roots of 40198472516125
- 40198472516125 squared (401984725161252) is 1615917192629656988385015625
- 40198472516125 cubed (401984725161253) is 64957402856257133863181088951341189453125
-
The
square root of 40198472516125 is 6340226.5350794051 -
The
cube root of 40198472516125 is 34255.9895088949
Scales and comparisons
How big is 40198472516125?- 40,198,472,516,125 seconds is equal to 1,278,187 years, 4 weeks, 2 days, 13 hours, 35 minutes, 25 seconds.
-
To count from 1 to 40,198,472,516,125 would take you about three million, one hundred ninety-five thousand, four hundred sixty-seven 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 40198472516125 cubic inches would be around 2854.7 feet tall.
Recreational maths with 40198472516125
- 40198472516125 backwards is 52161527489104
- 40198472516125 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40198472516125's digits is 55
- More coming soon!
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