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42230767500 = 223454347601
BaseRepresentation
bin100111010101001001…
…100101111110001100
311001000010122021020000
4213111021211332030
51142442034030000
631222303524300
73023342413065
oct472511457614
9131003567200
1042230767500
1116a01192749
128226bb9690
133ca029732c
14208897756c
151172780000
hex9d5265f8c

42230767500 has 300 divisors, whose sum is σ = 138583070472. Its totient is φ = 11210400000.

The previous prime is 42230767499. The next prime is 42230767517. The reversal of 42230767500 is 576703224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 99 ways as a sum of consecutive naturals, for example, 70267200 + ... + 70267800.

Almost surely, 242230767500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230767500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69291535236).

42230767500 is an abundant number, since it is smaller than the sum of its proper divisors (96352302972).

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

42230767500 is a wasteful number, since it uses less digits than its factorization.

42230767500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 42230767500 in words is "forty-two billion, two hundred thirty million, seven hundred sixty-seven thousand, five hundred".