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141887488 = 211292389
BaseRepresentation
bin10000111010100…
…00100000000000
3100212222122001011
420131100200000
5242310344423
622025050304
73342011101
oct1035204000
9325878034
10141887488
1173101196
123b626994
132351b4c2
1414bb63a8
15c6cab0d
hex8750800

141887488 has 48 divisors (see below), whose sum is σ = 293611500. Its totient is φ = 68468736.

The previous prime is 141887467. The next prime is 141887503. The reversal of 141887488 is 884788141.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 2458624 = 11808^2 + 1568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58198 + ... + 60586.

Almost surely, 2141887488 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 141887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146805750).

141887488 is an abundant number, since it is smaller than the sum of its proper divisors (151724012).

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

141887488 is an equidigital number, since it uses as much as digits as its factorization.

141887488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2420 counting only the distinct ones).

The product of its digits is 458752, while the sum is 49.

The square root of 141887488 is about 11911.6534536562. The cubic root of 141887488 is about 521.5725179042.

The spelling of 141887488 in words is "one hundred forty-one million, eight hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 2389 3712 4778 7424 9556 14848 19112 29696 38224 59392 69281 76448 138562 152896 277124 305792 554248 611584 1108496 1223168 2216992 2446336 4433984 4892672 8867968 17735936 35471872 70943744 141887488