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465720423144 = 233292632544253
BaseRepresentation
bin1101100011011110001…
…10011011001011101000
31122112002212010210001220
412301233012123023220
530112243412020034
6553540552542040
745434662165134
oct6615706331350
91575085123056
10465720423144
1116a569045a99
12763149b1920
1334bc02673a2
141878068a3c4
15c1ab45b749
hex6c6f19b2e8

465720423144 has 64 divisors (see below), whose sum is σ = 1209029500800. Its totient is φ = 149317061376.

The previous prime is 465720423071. The next prime is 465720423149. The reversal of 465720423144 is 441324027564.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 465720423096 and 465720423105.

It is not an unprimeable number, because it can be changed into a prime (465720423149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089079 + ... + 1455174.

It is an arithmetic number, because the mean of its divisors is an integer number (18891085950).

Almost surely, 2465720423144 is an apocalyptic number.

It is an amenable number.

465720423144 is an abundant number, since it is smaller than the sum of its proper divisors (743309077656).

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

465720423144 is a wasteful number, since it uses less digits than its factorization.

465720423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544554 (or 2544550 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 465720423144 in words is "four hundred sixty-five billion, seven hundred twenty million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 263 348 526 696 789 1052 1578 2104 3156 6312 7627 15254 22881 30508 45762 61016 91524 183048 2544253 5088506 7632759 10177012 15265518 20354024 30531036 61062072 73783337 147566674 221350011 295133348 442700022 590266696 669138539 885400044 1338277078 1770800088 2007415617 2676554156 4014831234 5353108312 8029662468 16059324936 19405017631 38810035262 58215052893 77620070524 116430105786 155240141048 232860211572 465720423144