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14032212000 = 253533167563
BaseRepresentation
bin11010001000110001…
…01001000000100000
31100012221002020010120
431010120221000200
5212214221241000
610240223000240
71004505556032
oct150430510040
940187066116
1014032212000
115a508aa624
122877439080
1314281a9931
1497189dc52
15571d976a0
hex344629020

14032212000 has 384 divisors, whose sum is σ = 48246202368. Its totient is φ = 3560832000.

The previous prime is 14032211957. The next prime is 14032212011. The reversal of 14032212000 is 21223041.

It is a super-2 number, since 2×140322120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24923719 + ... + 24924281.

It is an arithmetic number, because the mean of its divisors is an integer number (125641152).

Almost surely, 214032212000 is an apocalyptic number.

14032212000 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 14032212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24123101184).

14032212000 is an abundant number, since it is smaller than the sum of its proper divisors (34213990368).

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

14032212000 is a wasteful number, since it uses less digits than its factorization.

14032212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14032212000 its reverse (21223041), we get a palindrome (14053435041).

The spelling of 14032212000 in words is "fourteen billion, thirty-two million, two hundred twelve thousand".