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431441140 = 225136724767
BaseRepresentation
bin11001101101110…
…100010011110100
31010001211110222111
4121231310103310
51340422104030
6110451140404
713456121614
oct3155642364
91101743874
10431441140
112015a0129
121005a4704
136b4cc520
144142aa44
1527d2462a
hex19b744f4

431441140 has 48 divisors (see below), whose sum is σ = 990323712. Its totient is φ = 156917376.

The previous prime is 431441137. The next prime is 431441161. The reversal of 431441140 is 41144134.

It is a super-2 number, since 2×4314411402 = 372282914568999200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5037 + ... + 29803.

It is an arithmetic number, because the mean of its divisors is an integer number (20631744).

Almost surely, 2431441140 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 431441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495161856).

431441140 is an abundant number, since it is smaller than the sum of its proper divisors (558882572).

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

431441140 is a wasteful number, since it uses less digits than its factorization.

431441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24856 (or 24854 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 431441140 is about 20771.1612578594. The cubic root of 431441140 is about 755.6265080267.

Adding to 431441140 its reverse (41144134), we get a palindrome (472585274).

It can be divided in two parts, 4314 and 41140, that added together give a palindrome (45454).

The spelling of 431441140 in words is "four hundred thirty-one million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420 24767 49534 99068 123835 247670 321971 495340 643942 1287884 1609855 1659389 3219710 3318778 6439420 6637556 8296945 16593890 21572057 33187780 43144114 86288228 107860285 215720570 431441140