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8441932144 = 242341559513
BaseRepresentation
bin1111101110010110…
…11010100101110000
3210210022222120211111
413313023122211300
5114242113312034
63513403523104
7416125145032
oct76713324560
923708876744
108441932144
113642283628
121777229494
13a46c76829
145a1265c52
153461e3364
hex1f72da970

8441932144 has 40 divisors (see below), whose sum is σ = 17483693472. Its totient is φ = 3938964480.

The previous prime is 8441932141. The next prime is 8441932151. The reversal of 8441932144 is 4412391448.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8441932097 and 8441932106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441932141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264669 + ... + 294844.

Almost surely, 28441932144 is an apocalyptic number.

It is an amenable number.

8441932144 is an abundant number, since it is smaller than the sum of its proper divisors (9041761328).

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

8441932144 is a wasteful number, since it uses less digits than its factorization.

8441932144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559585 (or 559579 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 8441932144 is about 91879.9877231163. The cubic root of 8441932144 is about 2036.1696149300.

The spelling of 8441932144 in words is "eight billion, four hundred forty-one million, nine hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 7544 15088 559513 1119026 2238052 4476104 8952208 12868799 22940033 25737598 45880066 51475196 91760132 102950392 183520264 205900784 367040528 527620759 1055241518 2110483036 4220966072 8441932144