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42203040320 = 265761734231
BaseRepresentation
bin100111010011011111…
…110100101001000000
311000221012110120200102
4213103133310221000
51142412434242240
631215433341532
73022554631610
oct472337645100
9130835416612
1042203040320
1116997574921
1282198678a8
133c97609a0c
142084ddaa40
151170104815
hex9d37f4a40

42203040320 has 224 divisors, whose sum is σ = 118362471936. Its totient is φ = 14034124800.

The previous prime is 42203040263. The next prime is 42203040323. The reversal of 42203040320 is 2304030224.

42203040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×422030403202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42203040292 and 42203040301.

It is not an unprimeable number, because it can be changed into a prime (42203040323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9972605 + ... + 9976835.

Almost surely, 242203040320 is an apocalyptic number.

42203040320 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 42203040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59181235968).

42203040320 is an abundant number, since it is smaller than the sum of its proper divisors (76159431616).

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

42203040320 is a wasteful number, since it uses less digits than its factorization.

42203040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4379 counting only the distinct ones).

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

Adding to 42203040320 its reverse (2304030224), we get a palindrome (44507070544).

The spelling of 42203040320 in words is "forty-two billion, two hundred three million, forty thousand, three hundred twenty".