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14223001342000 = 24531119174719477
BaseRepresentation
bin1100111011111000110011…
…1100010101000000110000
31212100201001102021212201111
43032332030330111000300
53331012201320421000
650125542343443104
72665402142443513
oct316761474250060
955321042255644
1014223001342000
114593a39512540
12171861a456494
137c22b96b2059
1437257b2aad7a
15199e8d849cba
hexcef8cf15030

14223001342000 has 320 divisors, whose sum is σ = 39516941468160. Its totient is φ = 4896733824000.

The previous prime is 14223001341959. The next prime is 14223001342003. The reversal of 14223001342000 is 24310032241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (14223001342003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730236262 + ... + 730255738.

It is an arithmetic number, because the mean of its divisors is an integer number (123490442088).

Almost surely, 214223001342000 is an apocalyptic number.

14223001342000 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 14223001342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758470734080).

14223001342000 is an abundant number, since it is smaller than the sum of its proper divisors (25293940126160).

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

14223001342000 is a wasteful number, since it uses less digits than its factorization.

14223001342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21277 (or 21261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14223001342000 its reverse (24310032241), we get a palindrome (14247311374241).

The spelling of 14223001342000 in words is "fourteen trillion, two hundred twenty-three billion, one million, three hundred forty-two thousand".