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142446334400 = 2652712235623
BaseRepresentation
bin1000010010101001110…
…1101001000111000000
3111121200022220112122222
42010222131221013000
54313212230200100
6145234451150212
713201644602366
oct2045235510700
9447608815588
10142446334400
1155458273407
1223734ba5368
1310581651746
146c744ad636
153a8a89b485
hex212a7691c0

142446334400 has 168 divisors, whose sum is σ = 357101144064. Its totient is φ = 55914163200.

The previous prime is 142446334369. The next prime is 142446334439. The reversal of 142446334400 is 4433644241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25329989 + ... + 25335611.

It is an arithmetic number, because the mean of its divisors is an integer number (2125602048).

Almost surely, 2142446334400 is an apocalyptic number.

142446334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142446334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178550572032).

142446334400 is an abundant number, since it is smaller than the sum of its proper divisors (214654809664).

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

142446334400 is a wasteful number, since it uses less digits than its factorization.

142446334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 142446334400 its reverse (4433644241), we get a palindrome (146879978641).

The spelling of 142446334400 in words is "one hundred forty-two billion, four hundred forty-six million, three hundred thirty-four thousand, four hundred".