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14055088950 = 23352721791187
BaseRepresentation
bin11010001011011111…
…11010001100110110
31100021112010111102000
431011233322030312
5212241100321300
610242401200130
71005204166500
oct150557721466
940245114360
1014055088950
115a628053a1
122883030046
13142cb596a6
14974936d70
15573db5c00
hex345bfa336

14055088950 has 288 divisors, whose sum is σ = 45342633600. Its totient is φ = 3191952960.

The previous prime is 14055088939. The next prime is 14055088951. The reversal of 14055088950 is 5988055041.

It is a happy number.

14055088950 is a `hidden beast` number, since 1 + 4 + 0 + 550 + 8 + 8 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14055088896 and 14055088905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055088951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11840257 + ... + 11841443.

It is an arithmetic number, because the mean of its divisors is an integer number (157439700).

Almost surely, 214055088950 is an apocalyptic number.

14055088950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055088950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671316800).

14055088950 is an abundant number, since it is smaller than the sum of its proper divisors (31287544650).

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

14055088950 is a wasteful number, since it uses less digits than its factorization.

14055088950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 14055088950 in words is "fourteen billion, fifty-five million, eighty-eight thousand, nine hundred fifty".