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4023394333920 = 2533513415332969
BaseRepresentation
bin111010100011000100111…
…111010111010011100000
3112020122002021020222222000
4322203010333113103200
51011404402422141140
612320153303444000
7563452314365223
oct72430477272340
915218067228860
104023394333920
111311348236a35
1254b916756600
13232534794180
14dca3a3595ba
156e9cec0ea30
hex3a8c4fd74e0

4023394333920 has 768 divisors, whose sum is σ = 15828575212800. Its totient is φ = 947959234560.

The previous prime is 4023394333919. The next prime is 4023394333949. The reversal of 4023394333920 is 293334933204.

4023394333920 is a `hidden beast` number, since 40 + 233 + 9 + 43 + 339 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122019196 + ... + 122052164.

It is an arithmetic number, because the mean of its divisors is an integer number (20610123975).

Almost surely, 24023394333920 is an apocalyptic number.

4023394333920 is a gapful number since it is divisible by the number (40) 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 4023394333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914287606400).

4023394333920 is an abundant number, since it is smaller than the sum of its proper divisors (11805180878880).

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

4023394333920 is a wasteful number, since it uses less digits than its factorization.

4023394333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33100 (or 33086 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 4023394333920 in words is "four trillion, twenty-three billion, three hundred ninety-four million, three hundred thirty-three thousand, nine hundred twenty".