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4113432144 = 243271402331
BaseRepresentation
bin1111010100101101…
…1111111001010000
3101121200011000002200
43311023133321100
531411014312034
61520101043200
7203635411353
oct36513377120
911550130080
104113432144
111820a1a4a8
129696b6500
13507289023
142b044029a
151911cea99
hexf52dfe50

4113432144 has 60 divisors (see below), whose sum is σ = 11674065312. Its totient is φ = 1351828800.

The previous prime is 4113432121. The next prime is 4113432173. The reversal of 4113432144 is 4412343114.

4113432144 is a `hidden beast` number, since 411 + 34 + 3 + 214 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 190942 + ... + 211389.

Almost surely, 24113432144 is an apocalyptic number.

It is an amenable number.

4113432144 is an abundant number, since it is smaller than the sum of its proper divisors (7560633168).

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

4113432144 is a wasteful number, since it uses less digits than its factorization.

4113432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402416 (or 402407 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4113432144 is about 64136.0440314181. The cubic root of 4113432144 is about 1602.2665979839.

Adding to 4113432144 its reverse (4412343114), we get a palindrome (8525775258).

The spelling of 4113432144 in words is "four billion, one hundred thirteen million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 402331 804662 1206993 1609324 2413986 3218648 3620979 4827972 6437296 7241958 9655944 14483916 19311888 28565501 28967832 57131002 57935664 85696503 114262004 171393006 228524008 257089509 342786012 457048016 514179018 685572024 1028358036 1371144048 2056716072 4113432144