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141445920 = 25357114389
BaseRepresentation
bin10000110111001…
…00101100100000
3100212011012022210
420123210230200
5242202232140
622011402120
73335161530
oct1033445440
9325135283
10141445920
117292a460
123b453340
13233c5515
1414add4c0
15c63ed80
hex86e4b20

141445920 has 384 divisors, whose sum is σ = 574801920. Its totient is φ = 28385280.

The previous prime is 141445907. The next prime is 141445943. The reversal of 141445920 is 29544141.

141445920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1589236 + ... + 1589324.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2141445920 is an apocalyptic number.

141445920 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 141445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

141445920 is an abundant number, since it is smaller than the sum of its proper divisors (433356000).

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

141445920 is a wasteful number, since it uses less digits than its factorization.

141445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 141445920 is about 11893.1038841843. The cubic root of 141445920 is about 521.0308937709.

The spelling of 141445920 in words is "one hundred forty-one million, four hundred forty-five thousand, nine hundred twenty".