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42348983040 = 28325721329199
BaseRepresentation
bin100111011100001100…
…100011001100000000
311001022101002020110100
4213130030203030000
51143212314424130
631242125402400
73026306262600
oct473414431400
9131271066410
1042348983040
1116a61995841
12825a709400
133cbb917c60
14209a54ac00
15117cd31c60
hex9dc323300

42348983040 has 1296 divisors, whose sum is σ = 190840104000. Its totient is φ = 8583708672.

The previous prime is 42348983021. The next prime is 42348983041. The reversal of 42348983040 is 4038984324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42348983041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212808861 + ... + 212809059.

Almost surely, 242348983040 is an apocalyptic number.

42348983040 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 42348983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420052000).

42348983040 is an abundant number, since it is smaller than the sum of its proper divisors (148491120960).

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

42348983040 is a wasteful number, since it uses less digits than its factorization.

42348983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42348983040 in words is "forty-two billion, three hundred forty-eight million, nine hundred eighty-three thousand, forty".