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141441120 = 25335291129
BaseRepresentation
bin10000110111000…
…11100001100000
3100212010221202000
420123203201200
5242202103440
622011324000
73335141532
oct1033434140
9325127660
10141441120
1172926897
123b450600
13233c3292
1414adb852
15c63d730
hex86e3860

141441120 has 192 divisors, whose sum is σ = 512568000. Its totient is φ = 36384768.

The previous prime is 141441089. The next prime is 141441169. The reversal of 141441120 is 21144141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141441093 and 141441102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124716 + ... + 125844.

It is an arithmetic number, because the mean of its divisors is an integer number (2669625).

Almost surely, 2141441120 is an apocalyptic number.

141441120 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 141441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256284000).

141441120 is an abundant number, since it is smaller than the sum of its proper divisors (371126880).

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

141441120 is a wasteful number, since it uses less digits than its factorization.

141441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1168 counting only the distinct ones).

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

The square root of 141441120 is about 11892.9020848572. The cubic root of 141441120 is about 521.0249999363.

Adding to 141441120 its reverse (21144141), we get a palindrome (162585261).

The spelling of 141441120 in words is "one hundred forty-one million, four hundred forty-one thousand, one hundred twenty".