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14193000448 = 2191123107
BaseRepresentation
bin11010011011111100…
…00000000000000000
31100122010122010102021
431031332000000000
5213031402003243
610304205131224
71011500341024
oct151576000000
940563563367
1014193000448
116023640340
122901259b14
1314525b5223
14988d96384
155810586ed
hex34df80000

14193000448 has 160 divisors (see below), whose sum is σ = 32614876800. Its totient is φ = 6113198080.

The previous prime is 14193000439. The next prime is 14193000449. The reversal of 14193000448 is 84400039141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14193000449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132644811 + ... + 132644917.

It is an arithmetic number, because the mean of its divisors is an integer number (203842980).

Almost surely, 214193000448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14193000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307438400).

14193000448 is an abundant number, since it is smaller than the sum of its proper divisors (18421876352).

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

14193000448 is an frugal number, since it uses more digits than its factorization.

14193000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 14193000448 its reverse (84400039141), we get a palindrome (98593039589).

The spelling of 14193000448 in words is "fourteen billion, one hundred ninety-three million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 107 128 176 184 214 253 256 352 368 428 506 512 704 736 856 1012 1024 1177 1408 1472 1712 2024 2048 2354 2461 2816 2944 3424 4048 4096 4708 4922 5632 5888 6848 8096 8192 9416 9844 11264 11776 13696 16192 16384 18832 19688 22528 23552 27071 27392 32384 32768 37664 39376 45056 47104 54142 54784 64768 65536 75328 78752 90112 94208 108284 109568 129536 131072 150656 157504 180224 188416 216568 219136 259072 262144 301312 315008 360448 376832 433136 438272 518144 524288 602624 630016 720896 753664 866272 876544 1036288 1205248 1260032 1441792 1507328 1732544 1753088 2072576 2410496 2520064 2883584 3014656 3465088 3506176 4145152 4820992 5040128 5767168 6029312 6930176 7012352 8290304 9641984 10080256 12058624 13860352 14024704 16580608 19283968 20160512 27720704 28049408 33161216 38567936 40321024 55441408 56098816 66322432 77135872 80642048 110882816 132644864 154271744 161284096 221765632 308543488 322568192 443531264 617086976 645136384 887062528 1290272768 1774125056 3548250112 7096500224 14193000448