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199942144 = 21324407
BaseRepresentation
bin10111110101011…
…10000000000000
3111221020010001121
423322232000000
5402141122034
631501242024
74645323463
oct1372560000
9457203047
10199942144
11a2953546
1256b63314
1332566b7c
141c7a92da
15128471b4
hexbeae000

199942144 has 28 divisors (see below), whose sum is σ = 399876264. Its totient is φ = 99966976.

The previous prime is 199942139. The next prime is 199942159. The reversal of 199942144 is 441249991.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199942144.

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 as a sum of consecutive naturals, namely, 4012 + ... + 20395.

Almost surely, 2199942144 is an apocalyptic number.

It is an amenable number.

199942144 is a deficient number, since it is larger than the sum of its proper divisors (199934120).

199942144 is an frugal number, since it uses more digits than its factorization.

199942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24433 (or 24409 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 199942144 is about 14140.0899572810. The cubic root of 199942144 is about 584.7471515474.

The spelling of 199942144 in words is "one hundred ninety-nine million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 24407 48814 97628 195256 390512 781024 1562048 3124096 6248192 12496384 24992768 49985536 99971072 199942144