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42243431104 = 2671761791151
BaseRepresentation
bin100111010101111001…
…111001101011000000
311001001000110122102101
4213111321321223000
51143003304243404
631223435200144
73023555145160
oct472571715300
9131030418371
1042243431104
1116a08352036
12822b2a6054
133ca2aac3a4
14208a5125a0
1511739322a4
hex9d5e79ac0

42243431104 has 224 divisors, whose sum is σ = 104496168960. Its totient is φ = 16533504000.

The previous prime is 42243431099. The next prime is 42243431107. The reversal of 42243431104 is 40113434224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42243431107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36700929 + ... + 36702079.

Almost surely, 242243431104 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 42243431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52248084480).

42243431104 is an abundant number, since it is smaller than the sum of its proper divisors (62252737856).

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

42243431104 is a wasteful number, since it uses less digits than its factorization.

42243431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42243431104 its reverse (40113434224), we get a palindrome (82356865328).

The spelling of 42243431104 in words is "forty-two billion, two hundred forty-three million, four hundred thirty-one thousand, one hundred four".