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14221666446 = 2313599731859
BaseRepresentation
bin11010011111010110…
…10110100010001110
31100201010120111202220
431033223112202032
5213111221311241
610311111400210
71012266112251
oct151753264216
940633514686
1014221666446
11603883a549
12290a983066
131458510c60
1498cad9098
1558381c166
hex34fad688e

14221666446 has 64 divisors (see below), whose sum is σ = 31472582400. Its totient is φ = 4257248256.

The previous prime is 14221666427. The next prime is 14221666519. The reversal of 14221666446 is 64466612241.

It is a junction number, because it is equal to n+sod(n) for n = 14221666398 and 14221666407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430465 + ... + 462323.

It is an arithmetic number, because the mean of its divisors is an integer number (491759100).

Almost surely, 214221666446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221666446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736291200).

14221666446 is an abundant number, since it is smaller than the sum of its proper divisors (17250915954).

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

14221666446 is a wasteful number, since it uses less digits than its factorization.

14221666446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32033.

The product of its digits is 331776, while the sum is 42.

The spelling of 14221666446 in words is "fourteen billion, two hundred twenty-one million, six hundred sixty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 59 78 97 118 177 194 291 354 582 767 1261 1534 2301 2522 3783 4602 5723 7566 11446 17169 31859 34338 63718 74399 95577 148798 191154 223197 414167 446394 828334 1242501 1879681 2485002 3090323 3759362 5639043 6180646 9270969 11278086 18541938 24435853 40174199 48871706 73307559 80348398 120522597 146615118 182329057 241045194 364658114 546987171 1093974342 2370277741 4740555482 7110833223 14221666446