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42303254400 = 2734521137401
BaseRepresentation
bin100111011001011110…
…000110111110000000
311001012012000222120000
4213121132012332000
51143114113120100
631233413320000
73025212505131
oct473136067600
9131165028500
1042303254400
1116a390a2180
128247336000
133cb22c6aa4
142094445c88
151178cec900
hex9d9786f80

42303254400 has 960 divisors, whose sum is σ = 175338844560. Its totient is φ = 9953280000.

The previous prime is 42303254381. The next prime is 42303254443. The reversal of 42303254400 is 445230324.

42303254400 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 3 + 254 + 400 = 666.

42303254400 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 (960).

It is a super-2 number, since 2×423032544002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 105494200 + ... + 105494600.

Almost surely, 242303254400 is an apocalyptic number.

42303254400 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 42303254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87669422280).

42303254400 is an abundant number, since it is smaller than the sum of its proper divisors (133035590160).

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

42303254400 is a wasteful number, since it uses less digits than its factorization.

42303254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42303254400 its reverse (445230324), we get a palindrome (42748484724).

The spelling of 42303254400 in words is "forty-two billion, three hundred three million, two hundred fifty-four thousand, four hundred".