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42306109440 = 2183572953
BaseRepresentation
bin100111011001101001…
…000000000000000000
311001012101102000221020
4213121221000000000
51143120331000230
631233554425440
73025245665640
oct473151000000
9131171360836
1042306109440
1116a3a772211
128248292280
133cb2a8646a
14209498a520
1511791b3810
hex9d9a40000

42306109440 has 608 divisors, whose sum is σ = 163074228480. Its totient is φ = 9160359936.

The previous prime is 42306109429. The next prime is 42306109459. The reversal of 42306109440 is 4490160324.

It is a super-2 number, since 2×423061094402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798228454 + ... + 798228506.

Almost surely, 242306109440 is an apocalyptic number.

42306109440 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 42306109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81537114240).

42306109440 is an abundant number, since it is smaller than the sum of its proper divisors (120768119040).

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

42306109440 is an frugal number, since it uses more digits than its factorization.

42306109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 42306109440 its reverse (4490160324), we get a palindrome (46796269764).

The spelling of 42306109440 in words is "forty-two billion, three hundred six million, one hundred nine thousand, four hundred forty".