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141403142400 = 28352133971427
BaseRepresentation
bin1000001110110001001…
…0001011100100000000
3111111222121221220021020
42003230102023210000
54304043201024100
6144543144025440
713134046610322
oct2035422134400
9444877856236
10141403142400
1154a72429863
12234a3762280
13104464a0b80
146bb5b1b612
153a28ed75a0
hex20ec48b900

141403142400 has 432 divisors, whose sum is σ = 504175689024. Its totient is φ = 34694922240.

The previous prime is 141403142389. The next prime is 141403142437. The reversal of 141403142400 is 4241304141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99090487 + ... + 99091913.

Almost surely, 2141403142400 is an apocalyptic number.

141403142400 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 141403142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252087844512).

141403142400 is an abundant number, since it is smaller than the sum of its proper divisors (362772546624).

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

141403142400 is a wasteful number, since it uses less digits than its factorization.

141403142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 141403142400 its reverse (4241304141), we get a palindrome (145644446541).

The spelling of 141403142400 in words is "one hundred forty-one billion, four hundred three million, one hundred forty-two thousand, four hundred".