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14055705720 = 233257231971231
BaseRepresentation
bin11010001011100100…
…10000110001111000
31100021120021211110100
431011302100301320
5212241230040340
610242422315400
71005212345610
oct150562206170
940246254410
1014055705720
115a63096821
122883288b60
131430014344
14974a57a40
15573e88830
hex345c90c78

14055705720 has 384 divisors, whose sum is σ = 54797783040. Its totient is φ = 3054965760.

The previous prime is 14055705707. The next prime is 14055705721. The reversal of 14055705720 is 2750755041.

14055705720 is a `hidden beast` number, since 14 + 0 + 5 + 5 + 70 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055705721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11417505 + ... + 11418735.

It is an arithmetic number, because the mean of its divisors is an integer number (142702560).

Almost surely, 214055705720 is an apocalyptic number.

14055705720 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 14055705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398891520).

14055705720 is an abundant number, since it is smaller than the sum of its proper divisors (40742077320).

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

14055705720 is a wasteful number, since it uses less digits than its factorization.

14055705720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 14055705720 in words is "fourteen billion, fifty-five million, seven hundred five thousand, seven hundred twenty".