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203025233940 = 2235172591911039
BaseRepresentation
bin1011110100010100111…
…1110011100000010100
3201102001011210111021220
42331011033303200110
511311243424441230
6233133555210340
720445104005014
oct2750517634024
9642034714256
10203025233940
11791144a7241
12334208a69b0
13161b6cca229
149b7dbb5c44
155433d4ed10
hex2f453f3814

203025233940 has 288 divisors, whose sum is σ = 617921740800. Its totient is φ = 49781483520.

The previous prime is 203025233933. The next prime is 203025233981. The reversal of 203025233940 is 49332520302.

203025233940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195403941 + ... + 195404979.

It is an arithmetic number, because the mean of its divisors is an integer number (2145561600).

Almost surely, 2203025233940 is an apocalyptic number.

203025233940 is a gapful number since it is divisible by the number (20) 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 203025233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308960870400).

203025233940 is an abundant number, since it is smaller than the sum of its proper divisors (414896506860).

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

203025233940 is a wasteful number, since it uses less digits than its factorization.

203025233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 203025233940 in words is "two hundred three billion, twenty-five million, two hundred thirty-three thousand, nine hundred forty".