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14020709472 = 2533731121723
BaseRepresentation
bin11010000111011001…
…10000110001100000
31100012010102211122000
431003230300301200
5212203300200342
610235132244000
71004306031000
oct150354606140
940163384560
1014020709472
115a45363600
122873610600
1314259b01c3
14970148000
15570d7444c
hex343b30c60

14020709472 has 1152 divisors, whose sum is σ = 57915648000. Its totient is φ = 3278499840.

The previous prime is 14020709471. The next prime is 14020709491. The reversal of 14020709472 is 27490702041.

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 (14020709471) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609596053 + ... + 609596075.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 214020709472 is an apocalyptic number.

14020709472 is a gapful number since it is divisible by the number (12) 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 14020709472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824000).

14020709472 is an abundant number, since it is smaller than the sum of its proper divisors (43894938528).

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

14020709472 is a wasteful number, since it uses less digits than its factorization.

14020709472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14020709472 in words is "fourteen billion, twenty million, seven hundred nine thousand, four hundred seventy-two".