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42134413312 = 2137370457
BaseRepresentation
bin100111001111011010…
…000010000000000000
311000202102022222010101
4213033122002000000
51142242402211222
631204542412144
73021062414065
oct471732020000
9130672288111
1042134413312
1116961861392
1281ba891054
133c8632c114
142079c54c6c
15116909a927
hex9cf682000

42134413312 has 56 divisors (see below), whose sum is σ = 85419192636. Its totient is φ = 20778319872.

The previous prime is 42134413303. The next prime is 42134413327. The reversal of 42134413312 is 21331443124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38128029696 + 4006383616 = 195264^2 + 63296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562788 + ... + 633244.

Almost surely, 242134413312 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 42134413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42709596318).

42134413312 is an abundant number, since it is smaller than the sum of its proper divisors (43284779324).

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

42134413312 is an frugal number, since it uses more digits than its factorization.

42134413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70556 (or 70532 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 42134413312 its reverse (21331443124), we get a palindrome (63465856436).

The spelling of 42134413312 in words is "forty-two billion, one hundred thirty-four million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4096 4672 8192 9344 18688 37376 70457 74752 140914 149504 281828 299008 563656 598016 1127312 2254624 4509248 5143361 9018496 10286722 18036992 20573444 36073984 41146888 72147968 82293776 144295936 164587552 288591872 329175104 577183744 658350208 1316700416 2633400832 5266801664 10533603328 21067206656 42134413312