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42132341344 = 252385766797
BaseRepresentation
bin100111001111010010…
…001000001001100000
311000202021102200220211
4213033102020021200
51142241334410334
631204430143504
73021035664262
oct471722101140
9130667380824
1042132341344
1116960676715
1281ba051b94
133c85a84cc2
142079875b32
151168cdba64
hex9cf488260

42132341344 has 48 divisors (see below), whose sum is σ = 86656778208. Its totient is φ = 20126436352.

The previous prime is 42132341327. The next prime is 42132341347. The reversal of 42132341344 is 44314323124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132341347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597354 + ... + 664150.

It is an arithmetic number, because the mean of its divisors is an integer number (1805349546).

Almost surely, 242132341344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42132341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43328389104).

42132341344 is an abundant number, since it is smaller than the sum of its proper divisors (44524436864).

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

42132341344 is a wasteful number, since it uses less digits than its factorization.

42132341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67687 (or 67679 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 42132341344 its reverse (44314323124), we get a palindrome (86446664468).

The spelling of 42132341344 in words is "forty-two billion, one hundred thirty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 857 1714 3428 6856 13712 19711 27424 39422 66797 78844 133594 157688 267188 315376 534376 630752 1068752 1536331 2137504 3072662 6145324 12290648 24581296 49162592 57245029 114490058 228980116 457960232 915920464 1316635667 1831840928 2633271334 5266542668 10533085336 21066170672 42132341344