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141831460 = 22529972521
BaseRepresentation
bin10000111010000…
…10110100100100
3100212212210012001
420131002310210
5242302101320
622023535044
73341355541
oct1035026444
9325783161
10141831460
1173073091
123b5ba484
13234cbb54
1414b9dbc8
15c6b920a
hex8742d24

141831460 has 48 divisors (see below), whose sum is σ = 311416560. Its totient is φ = 54190080.

The previous prime is 141831439. The next prime is 141831463. The reversal of 141831460 is 64138141.

141831460 = T389 + T390 + ... + T968.

141831460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28281124 + 113550336 = 5318^2 + 10656^2 .

It is not an unprimeable number, because it can be changed into a prime (141831463) 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 15 ways as a sum of consecutive naturals, for example, 55000 + ... + 57520.

It is an arithmetic number, because the mean of its divisors is an integer number (6487845).

Almost surely, 2141831460 is an apocalyptic number.

141831460 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 141831460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155708280).

141831460 is an abundant number, since it is smaller than the sum of its proper divisors (169585100).

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

141831460 is a wasteful number, since it uses less digits than its factorization.

141831460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 141831460 is about 11909.3014068836. The cubic root of 141831460 is about 521.5038566648.

The spelling of 141831460 in words is "one hundred forty-one million, eight hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 97 116 145 194 290 388 485 580 970 1940 2521 2813 5042 5626 10084 11252 12605 14065 25210 28130 50420 56260 73109 146218 244537 292436 365545 489074 731090 978148 1222685 1462180 2445370 4890740 7091573 14183146 28366292 35457865 70915730 141831460