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141945048 = 233771961
BaseRepresentation
bin10000111010111…
…10100011011000
3100220002120000000
420131132203120
5242314220143
622030213000
73342340650
oct1035364330
9326076000
10141945048
1173140463
123b654160
132353b76b
1414bcd360
15c6dcbd3
hex875e8d8

141945048 has 256 divisors, whose sum is σ = 488064000. Its totient is φ = 37791360.

The previous prime is 141945043. The next prime is 141945059. The reversal of 141945048 is 840549141.

141945048 is a `hidden beast` number, since 141 + 9 + 4 + 504 + 8 = 666.

141945048 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141945043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2326938 + ... + 2326998.

It is an arithmetic number, because the mean of its divisors is an integer number (1906500).

Almost surely, 2141945048 is an apocalyptic number.

141945048 is a gapful number since it is divisible by the number (18) 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 141945048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244032000).

141945048 is an abundant number, since it is smaller than the sum of its proper divisors (346118952).

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

141945048 is an equidigital number, since it uses as much as digits as its factorization.

141945048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 141945048 is about 11914.0693299980. The cubic root of 141945048 is about 521.6430377595.

The spelling of 141945048 in words is "one hundred forty-one million, nine hundred forty-five thousand, forty-eight".