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4431144123 = 377319337
BaseRepresentation
bin1000010000001110…
…11110010010111011
3102102210222110000000
410020013132102323
533033333102443
62011410444043
7214544050350
oct41007362273
912383873000
104431144123
1119742a118a
12a37b93623
13558048993
14300704627
151ae03b8d3
hex1081de4bb

4431144123 has 64 divisors (see below), whose sum is σ = 7840931840. Its totient is φ = 2450139840.

The previous prime is 4431144103. The next prime is 4431144131. The reversal of 4431144123 is 3214411344.

It is not a de Polignac number, because 4431144123 - 210 = 4431143099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431144103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469911 + ... + 479247.

It is an arithmetic number, because the mean of its divisors is an integer number (122514560).

Almost surely, 24431144123 is an apocalyptic number.

4431144123 is a deficient number, since it is larger than the sum of its proper divisors (3409787717).

4431144123 is an frugal number, since it uses more digits than its factorization.

4431144123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396 (or 9378 counting only the distinct ones).

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

The square root of 4431144123 is about 66566.8395148816. The cubic root of 4431144123 is about 1642.4996734846.

Adding to 4431144123 its reverse (3214411344), we get a palindrome (7645555467).

The spelling of 4431144123 in words is "four billion, four hundred thirty-one million, one hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 243 279 567 651 729 837 1701 1953 2187 2511 5103 5859 7533 9337 15309 17577 22599 28011 52731 65359 67797 84033 158193 196077 252099 289447 474579 588231 756297 868341 1764693 2026129 2268891 2605023 5294079 6078387 6806673 7815069 15882237 18235161 20420019 23445207 47646711 54705483 70335621 142940133 164116449 211006863 492349347 633020589 1477048041 4431144123