146476645612391400
146,476,645,612,391,400 is an even composite number composed of five prime numbers multiplied together.
146476645612391400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 146476645612391400:
23 × 3 × 52 × 71 × 3438418911089
(2 × 2 × 2 × 3 × 5 × 5 × 71 × 3438418911089)See below for interesting mathematical facts about the number 146476645612391400 from the Numbermatics database.
Names of 146476645612391400
- Cardinal: 146476645612391400 can be written as One hundred forty-six quadrillion, four hundred seventy-six trillion, six hundred forty-five billion, six hundred twelve million, three hundred ninety-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.464766456123914 × 1017
Factors of 146476645612391400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 8
- Sum of prime factors: 3438418911170
Divisors of 146476645612391400
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600 3438418911089 6876837822178 10315256733267 13753675644356 17192094555445 20630513466534 27507351288712 34384189110890 41261026933068 51576283666335 68768378221780 82522053866136 85960472777225 103152567332670 137536756443560 171920945554450 206305134665340 244127742687319 257881418331675 343841891108900 412610269330680 488255485374638 515762836663350 687683782217800 732383228061957 976510970749276 1031525673326700 1220638713436595 1464766456123914 1953021941498552 2063051346653400 2441277426873190 2929532912247828 3661916140309785 4882554853746380 5859065824495656 6103193567182975 7323832280619570 9765109707492760 12206387134365950 14647664561239140 18309580701548925 24412774268731900 29295329122478280 36619161403097850 48825548537463800 73238322806195700 146476645612391400
- Sum of all divisors σ(n): 460473060573172800
- Sum of proper divisors (its aliquot sum) s(n): 313996414960781400
- 146476645612391400 is an abundant number, because the sum of its proper divisors (313996414960781400) is greater than itself. Its abundance is 167519769348390000
Bases of 146476645612391400
- Binary: 10000010000110001110111011101011011001111000001011111010002
- Hexadecimal: 0x20863BBAD9E0BE8
- Base-36: 1429MY1EP90O
Squares and roots of 146476645612391400
- 146476645612391400 squared (1464766456123914002) is 21455407709858100772729226793960000
- 146476645612391400 cubed (1464766456123914003) is 3142716151586255192272080767776100081470675944000000
-
The
square root of 146476645612391400 is 382722674.5469771615 -
The
cube root of 146476645612391400 is 527136.1438738111
Scales and comparisons
How big is 146476645612391400?- 146,476,645,612,391,400 seconds is equal to 4,657,504,248 years, 23 weeks, 6 days, 17 hours, 10 minutes.
-
To count from 1 to 146,476,645,612,391,400 would take you about thirteen billion, nine hundred seventy-two million, five hundred twelve thousand, seven hundred forty-five 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 146476645612391400 cubic inches would be around 43928 feet tall.
Recreational maths with 146476645612391400
- 146476645612391400 backwards is 004193216546674641
- The number of decimal digits it has is: 18
- The sum of 146476645612391400's digits is 69
- More coming soon!
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