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42801099840 = 263453153267
BaseRepresentation
bin100111110111001001…
…001111010001000000
311002110212211011010000
4213313021033101000
51200124040143330
631355040040000
73043436226432
oct476711172100
9132425734100
1042801099840
1117174117894
128366003000
1340614a62a5
1421005da652
1511a788c560
hex9f724f440

42801099840 has 280 divisors, whose sum is σ = 157165316352. Its totient is φ = 11045237760.

The previous prime is 42801099839. The next prime is 42801099851. The reversal of 42801099840 is 4899010824.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 776887 + ... + 830153.

Almost surely, 242801099840 is an apocalyptic number.

42801099840 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 42801099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78582658176).

42801099840 is an abundant number, since it is smaller than the sum of its proper divisors (114364216512).

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

42801099840 is a wasteful number, since it uses less digits than its factorization.

42801099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53327 (or 53308 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 42801099840 in words is "forty-two billion, eight hundred one million, ninety-nine thousand, eight hundred forty".