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141233952 = 2532276481
BaseRepresentation
bin10000110101100…
…00111100100000
3100211202102120010
420122300330200
5242123441302
622003044520
73333316536
oct1032607440
9324672503
10141233952
11727a5182
123b370740
132334cbb2
1414a86156
15c5ec16c
hex86b0f20

141233952 has 48 divisors (see below), whose sum is σ = 372429792. Its totient is φ = 46863360.

The previous prime is 141233929. The next prime is 141233957. The reversal of 141233952 is 259332141.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (141233957) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18552 + ... + 25032.

It is an arithmetic number, because the mean of its divisors is an integer number (7758954).

Almost surely, 2141233952 is an apocalyptic number.

141233952 is a gapful number since it is divisible by the number (12) 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 141233952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186214896).

141233952 is an abundant number, since it is smaller than the sum of its proper divisors (231195840).

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

141233952 is a wasteful number, since it uses less digits than its factorization.

141233952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6713 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 141233952 is about 11884.1891603929. The cubic root of 141233952 is about 520.7704948587.

The spelling of 141233952 in words is "one hundred forty-one million, two hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 6481 7264 10896 12962 19443 21792 25924 38886 51848 77772 103696 155544 207392 311088 622176 1471187 2942374 4413561 5884748 8827122 11769496 17654244 23538992 35308488 47077984 70616976 141233952