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42463362240 = 2634513126019
BaseRepresentation
bin100111100011000000…
…110111110011000000
311001121100022022020000
4213203000313303000
51143431110042430
631301333120000
73032165423625
oct474300676300
9131540268200
1042463362240
1117010508602
128290a89000
134009524660
1420ab80234c
151187dc6e60
hex9e3037cc0

42463362240 has 280 divisors, whose sum is σ = 162670144560. Its totient is φ = 10452436992.

The previous prime is 42463362217. The next prime is 42463362247. The reversal of 42463362240 is 4226336424.

42463362240 is a `hidden beast` number, since 4 + 24 + 6 + 3 + 3 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42463362195 and 42463362204.

It is not an unprimeable number, because it can be changed into a prime (42463362247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273951 + ... + 399969.

It is an arithmetic number, because the mean of its divisors is an integer number (580964802).

Almost surely, 242463362240 is an apocalyptic number.

42463362240 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 42463362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81335072280).

42463362240 is an abundant number, since it is smaller than the sum of its proper divisors (120206782320).

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

42463362240 is a wasteful number, since it uses less digits than its factorization.

42463362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126061 (or 126042 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42463362240 its reverse (4226336424), we get a palindrome (46689698664).

The spelling of 42463362240 in words is "forty-two billion, four hundred sixty-three million, three hundred sixty-two thousand, two hundred forty".