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3445000422528 = 273721931437229
BaseRepresentation
bin110010001000011010000…
…001101100010010000000
3110012100011000001222002210
4302020122001230102000
5422420330102010103
611154340014542120
7503615215303200
oct62103201542200
913170130058083
103445000422528
11110901aa22615
124777b7807940
131bcb291997a2
14bca4b7d8400
155e92bb10e03
hex3221a06c480

3445000422528 has 768 divisors, whose sum is σ = 11837117952000. Its totient is φ = 881293271040.

The previous prime is 3445000422511. The next prime is 3445000422529. The reversal of 3445000422528 is 8252240005443.

It is a super-2 number, since 2×34450004225282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3445000422529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476549218 + ... + 476556446.

It is an arithmetic number, because the mean of its divisors is an integer number (15412914000).

Almost surely, 23445000422528 is an apocalyptic number.

3445000422528 is a gapful number since it is divisible by the number (38) 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 3445000422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918558976000).

3445000422528 is an abundant number, since it is smaller than the sum of its proper divisors (8392117529472).

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

3445000422528 is a wasteful number, since it uses less digits than its factorization.

3445000422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 3445000422528 in words is "three trillion, four hundred forty-five billion, four hundred twenty-two thousand, five hundred twenty-eight".