131417532247464387456
131,417,532,247,464,387,456 is an even composite number composed of six prime numbers multiplied together.
131417532247464387456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131417532247464387456:
27 × 3 × 7 × 97 × 101221 × 4979453551
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 97 × 101221 × 4979453551)See below for interesting mathematical facts about the number 131417532247464387456 from the Numbermatics database.
Names of 131417532247464387456
- Cardinal: 131417532247464387456 can be written as One hundred thirty-one quintillion, four hundred seventeen quadrillion, five hundred thirty-two trillion, two hundred forty-seven billion, four hundred sixty-four million, three hundred eighty-seven thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.31417532247464387456 × 1020
Factors of 131417532247464387456
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 4979554881
Divisors of 131417532247464387456
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 291 336 384 388 448 582 672 679 776 896 1164 1344 1358 1552 2037 2328 2688 2716 3104 4074 4656 5432 6208 8148 9312 10864 12416 16296 18624 21728 32592 37248 43456 65184 86912 101221 130368 202442 260736 303663 404884 607326 708547 809768 1214652 1417094 1619536 2125641 2429304 2834188 3239072 4251282 4858608 5668376 6478144 8502564 9717216 9818437 11336752 12956288 17005128 19434432 19636874 22673504 29455311 34010256 38868864 39273748 45347008 58910622 68020512 68729059 78547496 90694016 117821244 136041024 137458118 157094992 206187177 235642488 272082048 274916236 314189984 412374354 471284976 549832472 628379968 824748708 942569952 1099664944 1256759936 1649497416 1885139904 2199329888 3298994832 3770279808 4398659776 4979453551 6597989664 8797319552 9958907102 13195979328 14938360653 19917814204 26391958656 29876721306 34856174857 39835628408 59753442612 69712349714 79671256816 104568524571 119506885224 139424699428 159342513632 209137049142 239013770448 278849398856 318685027264 418274098284 478027540896 483006994447 557698797712 637370054528 836548196568 956055081792 966013988894 1115397595424 1449020983341 1673096393136 1912110163584 1932027977788 2230795190848 2898041966682 3346192786272 3381048961129 3864055955576 4461590381696 5796083933364 6692385572544 6762097922258 7728111911152 10143146883387 11592167866728 13384771145088 13524195844516 15456223822304 20286293766774 23184335733456 27048391689032 30912447644608 40572587533548 46368671466912 54096783378064 61824895289216 81145175067096 92737342933824 108193566756128 162290350134192 185474685867648 216387133512256 324580700268384 432774267024512 504025267885771 649161400536768 1008050535771542 1298322801073536 1512075803657313 2016101071543084 3024151607314626 3528176875200397 4032202143086168 6048303214629252 7056353750400794 8064404286172336 10584530625601191 12096606429258504 14112707500801588 16128808572344672 21169061251202382 24193212858517008 28225415001603176 32257617144689344 42338122502404764 48386425717034016 48890450984919787 56450830003206352 64515234289378688 84676245004809528 96772851434068032 97780901969839574 112901660006412704 146671352954759361 169352490009619056 193545702868136064 195561803939679148 225803320012825408 293342705909518722 338704980019238112 342233156894438509 391123607879358296 451606640025650816 586685411819037444 677409960038476224 684466313788877018 782247215758716592 1026699470683315527 1173370823638074888 1354819920076952448 1368932627577754036 1564494431517433184 2053398941366631054 2346741647276149776 2737865255155508072 3128988863034866368 4106797882733262108 4693483294552299552 5475730510311016144 6257977726069732736 8213595765466524216 9386966589104599104 10951461020622032288 16427191530933048432 18773933178209198208 21902922041244064576 32854383061866096864 43805844082488129152 65708766123732193728 131417532247464387456
- Sum of all divisors σ(n): 403062908273254225920
- Sum of proper divisors (its aliquot sum) s(n): 271645376025789838464
- 131417532247464387456 is an abundant number, because the sum of its proper divisors (271645376025789838464) is greater than itself. Its abundance is 140227843778325451008
Bases of 131417532247464387456
- Binary: 11100011111110010001101110101001100100101001000111010100011100000002
- Hexadecimal: 0x71FC8DD4C948EA380
- Base-36: RQG5N7K7CSY2O
Squares and roots of 131417532247464387456
- 131417532247464387456 squared (1314175322474643874562) is 17270567782013342175957180242973290151936
- 131417532247464387456 cubed (1314175322474643874563) is 2269655398424757897029062621203283912999704637569799412514816
-
The
square root of 131417532247464387456 is 11463748612.3634265369 -
The
cube root of 131417532247464387456 is 5084143.1398475063
Scales and comparisons
How big is 131417532247464387456?- 131,417,532,247,464,387,456 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,417,532,247,464,387,456 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 131417532247464387456 cubic inches would be around 423678.6 feet tall.
Recreational maths with 131417532247464387456
- 131417532247464387456 backwards is 654783464742235714131
- The number of decimal digits it has is: 21
- The sum of 131417532247464387456's digits is 87
- More coming soon!
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