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141020040 = 23357229827
BaseRepresentation
bin10000110011111…
…00101110001000
3100211100120010110
420121330232020
5242100120130
621554314320
73331436100
oct1031745610
9324316113
10141020040
1172669497
123b2889a0
13232a6715
1414a2c200
15c5a8ab0
hex867cb88

141020040 has 192 divisors, whose sum is σ = 509716800. Its totient is φ = 31084032.

The previous prime is 141020039. The next prime is 141020053. The reversal of 141020040 is 40020141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 141019998 and 141020025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170107 + ... + 170933.

It is an arithmetic number, because the mean of its divisors is an integer number (2654775).

Almost surely, 2141020040 is an apocalyptic number.

141020040 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 141020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254858400).

141020040 is an abundant number, since it is smaller than the sum of its proper divisors (368696760).

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

141020040 is a wasteful number, since it uses less digits than its factorization.

141020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141020040 is about 11875.1858932818. The cubic root of 141020040 is about 520.5074435047.

Adding to 141020040 its reverse (40020141), we get a palindrome (181040181).

The spelling of 141020040 in words is "one hundred forty-one million, twenty thousand, forty".