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42350220000 = 2532541173293
BaseRepresentation
bin100111011100010001…
…010001001011100000
311001022110102002020200
4213130101101023200
51143213124020000
631242212105200
73026322634104
oct473421211340
9131273362220
1042350220000
1116a62660120
12825b005200
133cbbc5bc9a
14209a78d904
15117cec8500
hex9dc4512e0

42350220000 has 720 divisors, whose sum is σ = 166991833008. Its totient is φ = 10091520000.

The previous prime is 42350219981. The next prime is 42350220013. The reversal of 42350220000 is 2205324.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×423502200002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144539854 + ... + 144540146.

Almost surely, 242350220000 is an apocalyptic number.

42350220000 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 42350220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83495916504).

42350220000 is an abundant number, since it is smaller than the sum of its proper divisors (124641613008).

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

42350220000 is a wasteful number, since it uses less digits than its factorization.

42350220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 42350220000 its reverse (2205324), we get a palindrome (42352425324).

The spelling of 42350220000 in words is "forty-two billion, three hundred fifty million, two hundred twenty thousand".