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38428039143 = 331329538837
BaseRepresentation
bin100011110010011111…
…010101011111100111
310200012010010122121000
4203302133111133213
51112200034223033
625353102124343
72530165641354
oct436237253747
9120163118530
1038428039143
111532a69863a
1275455806b3
1338154b6100
141c078d562b
15eed9c5a13
hex8f27d57e7

38428039143 has 48 divisors (see below), whose sum is σ = 61718228640. Its totient is φ = 23620536576.

The previous prime is 38428039129. The next prime is 38428039189. The reversal of 38428039143 is 34193082483.

It is not a de Polignac number, because 38428039143 - 233 = 29838104551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38428039343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4344121 + ... + 4352957.

It is an arithmetic number, because the mean of its divisors is an integer number (1285796430).

Almost surely, 238428039143 is an apocalyptic number.

38428039143 is a deficient number, since it is larger than the sum of its proper divisors (23290189497).

38428039143 is a wasteful number, since it uses less digits than its factorization.

38428039143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9806 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38428039143 in words is "thirty-eight billion, four hundred twenty-eight million, thirty-nine thousand, one hundred forty-three".

Divisors: 1 3 9 13 27 39 117 169 351 507 953 1521 2859 4563 8577 8837 12389 25731 26511 37167 79533 111501 114881 161057 238599 334503 344643 483171 1033929 1449513 1493453 3101787 4348539 4480359 8421661 13441077 25264983 40323231 75794949 109481593 227384847 328444779 985334337 1423260709 2956003011 4269782127 12809346381 38428039143