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441122140 = 225371913121
BaseRepresentation
bin11010010010101…
…111110101011100
31010202001022211001
4122102233311130
51400411402030
6111434440044
713634322244
oct3222576534
91122038731
10441122140
11207002658
12103893024
137050bb24
144282ab24
1528ad7cca
hex1a4afd5c

441122140 has 48 divisors (see below), whose sum is σ = 956680704. Its totient is φ = 170726400.

The previous prime is 441122131. The next prime is 441122167. The reversal of 441122140 is 41221144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139780 + ... + 142900.

It is an arithmetic number, because the mean of its divisors is an integer number (19930848).

Almost surely, 2441122140 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 441122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478340352).

441122140 is an abundant number, since it is smaller than the sum of its proper divisors (515558564).

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

441122140 is a wasteful number, since it uses less digits than its factorization.

441122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 441122140 is about 21002.9078939084. The cubic root of 441122140 is about 761.2365258530.

Adding to 441122140 its reverse (41221144), we get a palindrome (482343284).

The spelling of 441122140 in words is "four hundred forty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 191 370 382 740 764 955 1910 3121 3820 6242 7067 12484 14134 15605 28268 31210 35335 62420 70670 115477 141340 230954 461908 577385 596111 1154770 1192222 2309540 2384444 2980555 5961110 11922220 22056107 44112214 88224428 110280535 220561070 441122140