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141120144 = 24341119521
BaseRepresentation
bin10000110100101…
…01001010010000
3100211112122110000
420122111022100
5242111321034
622000410000
73332333664
oct1032251220
9324478400
10141120144
1172727720
123b316900
1323310159
1414a568a4
15c5c8599
hex8695290

141120144 has 200 divisors, whose sum is σ = 469925280. Its totient is φ = 40435200.

The previous prime is 141120127. The next prime is 141120181. The reversal of 141120144 is 441021141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270604 + ... + 271124.

Almost surely, 2141120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234962640).

141120144 is an abundant number, since it is smaller than the sum of its proper divisors (328805136).

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

141120144 is a wasteful number, since it uses less digits than its factorization.

141120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141120144 is about 11879.3999848477. The cubic root of 141120144 is about 520.6305762476.

Adding to 141120144 its reverse (441021141), we get a palindrome (582141285).

The spelling of 141120144 in words is "one hundred forty-one million, one hundred twenty thousand, one hundred forty-four".