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14320334400444 = 22333533467108343
BaseRepresentation
bin1101000001100011011001…
…1100011110101110111100
31212201000021201121112221000
43100120312130132232330
53334111021101303234
650242400521010300
73005416144003302
oct320306634365674
955630251545830
1014320334400444
114621246490a06
121733463023990
137cb52b811167
14377172062272
1519c78887e899
hexd063671ebbc

14320334400444 has 96 divisors (see below), whose sum is σ = 37243050647040. Its totient is φ = 4758505449984.

The previous prime is 14320334400443. The next prime is 14320334400487. The reversal of 14320334400444 is 44400443302341.

14320334400444 is a `hidden beast` number, since 1 + 4 + 3 + 203 + 3 + 4 + 4 + 0 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14320334400399 and 14320334400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14320334400443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132121737 + ... + 132230079.

It is an arithmetic number, because the mean of its divisors is an integer number (387948444240).

Almost surely, 214320334400444 is an apocalyptic number.

It is an amenable number.

14320334400444 is an abundant number, since it is smaller than the sum of its proper divisors (22922716246596).

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

14320334400444 is a wasteful number, since it uses less digits than its factorization.

14320334400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112176 (or 112168 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14320334400444 its reverse (44400443302341), we get a palindrome (58720777702785).

The spelling of 14320334400444 in words is "fourteen trillion, three hundred twenty billion, three hundred thirty-four million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 2118 3177 3467 4236 6354 6934 9531 10401 12708 13868 19062 20802 31203 38124 41604 62406 93609 108343 124812 187218 216686 325029 374436 433372 650058 975087 1223851 1300116 1950174 2447702 2925261 3671553 3900348 4895404 5850522 7343106 11014659 11701044 14686212 22029318 33043977 38245079 44058636 66087954 76490158 114735237 132175908 152980316 229470474 344205711 375625181 458940948 688411422 751250362 1032617133 1126875543 1376822844 1502500724 2065234266 2253751086 3380626629 4130468532 4507502172 6761253258 10141879887 13522506516 20283759774 40567519548 132595688893 265191377786 397787066679 530382755572 795574133358 1193361200037 1591148266716 2386722400074 3580083600111 4773444800148 7160167200222 14320334400444