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14422301300 = 22521116997717
BaseRepresentation
bin11010110111010001…
…01101101001110100
31101020010002211001102
431123220231221310
5214014102120200
610343035545232
71020253352441
oct153350555164
941203084042
1014422301300
116131016480
122965bbb218
13148ac5b1c4
149ab6049c8
1559624e6d5
hex35ba2da74

14422301300 has 72 divisors (see below), whose sum is σ = 34166042400. Its totient is φ = 5240707200.

The previous prime is 14422301269. The next prime is 14422301303. The reversal of 14422301300 is 310322441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422301303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1865042 + ... + 1872758.

Almost surely, 214422301300 is an apocalyptic number.

14422301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14422301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083021200).

14422301300 is an abundant number, since it is smaller than the sum of its proper divisors (19743741100).

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

14422301300 is a wasteful number, since it uses less digits than its factorization.

14422301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14422301300 its reverse (310322441), we get a palindrome (14732623741).

The spelling of 14422301300 in words is "fourteen billion, four hundred twenty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1699 3398 6796 7717 8495 15434 16990 18689 30868 33980 37378 38585 42475 74756 77170 84887 84950 93445 154340 169774 169900 186890 192925 339548 373780 385850 424435 467225 771700 848870 934450 1697740 1868900 2122175 4244350 8488700 13111183 26222366 52444732 65555915 131111830 144223013 262223660 288446026 327779575 576892052 655559150 721115065 1311118300 1442230130 2884460260 3605575325 7211150650 14422301300