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141074048 = 272514391
BaseRepresentation
bin10000110100010…
…01111010000000
3100211110022012202
420122021322000
5242103332143
621555412332
73332052413
oct1032117200
9324408182
10141074048
11726a6025
123b2b40a8
13232c518b
1414a43b7a
15c5b9ab8
hex8689e80

141074048 has 32 divisors (see below), whose sum is σ = 282229920. Its totient is φ = 70240000.

The previous prime is 141074047. The next prime is 141074057. The reversal of 141074048 is 840470141.

141074048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 141074048.

It is not an unprimeable number, because it can be changed into a prime (141074047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29933 + ... + 34323.

It is an arithmetic number, because the mean of its divisors is an integer number (8819685).

Almost surely, 2141074048 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 141074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141114960).

141074048 is an abundant number, since it is smaller than the sum of its proper divisors (141155872).

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

141074048 is an equidigital number, since it uses as much as digits as its factorization.

141074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 141074048 is about 11877.4596610555. The cubic root of 141074048 is about 520.5738831825.

The spelling of 141074048 in words is "one hundred forty-one million, seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 251 502 1004 2008 4016 4391 8032 8782 16064 17564 32128 35128 70256 140512 281024 562048 1102141 2204282 4408564 8817128 17634256 35268512 70537024 141074048