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144300421320400 = 24521439250695659
BaseRepresentation
bin100000110011110110001111…
…010110101000111011010000
3200220220222121110122120012201
4200303312033112220323100
5122403204230324223100
61230522410504332544
742252234650265112
oct4063661726507320
9626828543576181
10144300421320400
1141a84512a27394
121422647b174154
136269618702737
14278c26b6c33b2
1511a38b9b2b36a
hex833d8f5a8ed0

144300421320400 has 60 divisors (see below), whose sum is σ = 346922682134400. Its totient is φ = 57680056992640.

The previous prime is 144300421320347. The next prime is 144300421320401. The reversal of 144300421320400 is 4023124003441.

144300421320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443004213204002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300421320401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124772230 + ... + 125923429.

It is an arithmetic number, because the mean of its divisors is an integer number (5782044702240).

Almost surely, 2144300421320400 is an apocalyptic number.

144300421320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300421320400 is an abundant number, since it is smaller than the sum of its proper divisors (202622260814000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144300421320400 is a wasteful number, since it uses less digits than its factorization.

144300421320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250697116 (or 250697105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144300421320400 its reverse (4023124003441), we get a palindrome (148323545323841).

The spelling of 144300421320400 in words is "one hundred forty-four trillion, three hundred billion, four hundred twenty-one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1439 2878 5756 7195 11512 14390 23024 28780 35975 57560 71950 115120 143900 287800 575600 250695659 501391318 1002782636 1253478295 2005565272 2506956590 4011130544 5013913180 6267391475 10027826360 12534782950 20055652720 25069565900 50139131800 100278263600 360751053301 721502106602 1443004213204 1803755266505 2886008426408 3607510533010 5772016852816 7215021066020 9018776332525 14430042132040 18037552665050 28860084264080 36075105330100 72150210660200 144300421320400