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141044400 = 243252729193
BaseRepresentation
bin10000110100000…
…10101010110000
3100211101210112200
420122002222300
5242101410100
621555023200
73331600110
oct1032025260
9324353480
10141044400
1172685822
123b29ab00
13232b4833
1414a37040
15c5b0e00
hex8682ab0

141044400 has 360 divisors, whose sum is σ = 581674080. Its totient is φ = 30965760.

The previous prime is 141044381. The next prime is 141044401. The reversal of 141044400 is 4440141.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141044401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730704 + ... + 730896.

Almost surely, 2141044400 is an apocalyptic number.

141044400 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 141044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290837040).

141044400 is an abundant number, since it is smaller than the sum of its proper divisors (440629680).

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

141044400 is a wasteful number, since it uses less digits than its factorization.

141044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141044400 is about 11876.2115171464. The cubic root of 141044400 is about 520.5374128417.

Adding to 141044400 its reverse (4440141), we get a palindrome (145484541).

The spelling of 141044400 in words is "one hundred forty-one million, forty-four thousand, four hundred".