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42433004000 = 255319601929
BaseRepresentation
bin100111100001001101…
…000100000111100000
311001112020011221112202
4213201031010013200
51143400322112000
631254330312332
73031346403632
oct474115040740
9131466157482
1042433004000
1116aa5362a52
1282828886a8
1340031555ba
1420a777ca52
1511853cbdd5
hex9e13441e0

42433004000 has 192 divisors, whose sum is σ = 110046081600. Its totient is φ = 16035840000.

The previous prime is 42433003993. The next prime is 42433004059. The reversal of 42433004000 is 40033424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45675536 + ... + 45676464.

It is an arithmetic number, because the mean of its divisors is an integer number (573156675).

Almost surely, 242433004000 is an apocalyptic number.

42433004000 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 42433004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55023040800).

42433004000 is an abundant number, since it is smaller than the sum of its proper divisors (67613077600).

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

42433004000 is a wasteful number, since it uses less digits than its factorization.

42433004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42433004000 its reverse (40033424), we get a palindrome (42473037424).

The spelling of 42433004000 in words is "forty-two billion, four hundred thirty-three million, four thousand".