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141424004000 = 2553137421613
BaseRepresentation
bin1000001110110110000…
…1110000101110100000
3111112001002012210000002
42003231201300232200
54304114021112000
6144545211115132
713134422125316
oct2035541605640
9445032183002
10141424004000
1154a83188454
12234aa742aa8
131044a8c6506
146bb87cc0b6
153a2ac588d5
hex20ed870ba0

141424004000 has 192 divisors, whose sum is σ = 351418852512. Its totient is φ = 55931904000.

The previous prime is 141424003999. The next prime is 141424004021. The reversal of 141424004000 is 400424141.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 85574971024 + 55849032976 = 292532^2 + 236324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230707694 + ... + 230708306.

Almost surely, 2141424004000 is an apocalyptic number.

141424004000 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 141424004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175709426256).

141424004000 is an abundant number, since it is smaller than the sum of its proper divisors (209994848512).

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

141424004000 is a wasteful number, since it uses less digits than its factorization.

141424004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 141424004000 its reverse (400424141), we get a palindrome (141824428141).

The spelling of 141424004000 in words is "one hundred forty-one billion, four hundred twenty-four million, four thousand".