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5440123416 = 2337132490899
BaseRepresentation
bin1010001000100000…
…11011001000011000
3112001010112220101110
411010100123020120
542120132422131
62255452420320
7251545200060
oct50420331030
915033486343
105440123416
112341898272
121079a776a0
136890aac50
1439870c3a0
1521c8e3646
hex14441b218

5440123416 has 64 divisors (see below), whose sum is σ = 16738848000. Its totient is φ = 1434757248.

The previous prime is 5440123399. The next prime is 5440123483. The reversal of 5440123416 is 6143210445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243266 + ... + 1247633.

It is an arithmetic number, because the mean of its divisors is an integer number (261544500).

Almost surely, 25440123416 is an apocalyptic number.

5440123416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5440123416 is an abundant number, since it is smaller than the sum of its proper divisors (11298724584).

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

5440123416 is a wasteful number, since it uses less digits than its factorization.

5440123416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490928 (or 2490924 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5440123416 is about 73757.1923001411. The cubic root of 5440123416 is about 1758.7451687414.

The spelling of 5440123416 in words is "five billion, four hundred forty million, one hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2490899 4981798 7472697 9963596 14945394 17436293 19927192 29890788 32381687 34872586 52308879 59781576 64763374 69745172 97145061 104617758 129526748 139490344 194290122 209235516 226671809 259053496 388580244 418471032 453343618 680015427 777160488 906687236 1360030854 1813374472 2720061708 5440123416