Search a number
-
+
42341111456 = 25710315711689
BaseRepresentation
bin100111011011101110…
…100001011010100000
311001021211021022200012
4213123232201122200
51143203311031311
631241244544052
73026152336430
oct473356413240
9131254238605
1042341111456
1116a584a97a6
128257b52028
133cba0c0107
14209949c2c0
15117c2c978b
hex9dbba16a0

42341111456 has 96 divisors (see below), whose sum is σ = 96813400320. Its totient is φ = 17854027776.

The previous prime is 42341111443. The next prime is 42341111503. The reversal of 42341111456 is 65411114324.

42341111456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3616460 + ... + 3628148.

It is an arithmetic number, because the mean of its divisors is an integer number (1008472920).

Almost surely, 242341111456 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 42341111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48406700160).

42341111456 is an abundant number, since it is smaller than the sum of its proper divisors (54472288864).

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

42341111456 is a wasteful number, since it uses less digits than its factorization.

42341111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11958 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The spelling of 42341111456 in words is "forty-two billion, three hundred forty-one million, one hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 157 206 224 314 412 628 721 824 1099 1256 1442 1648 2198 2512 2884 3296 4396 5024 5768 8792 11536 11689 16171 17584 23072 23378 32342 35168 46756 64684 81823 93512 113197 129368 163646 187024 226394 258736 327292 374048 452788 517472 654584 905576 1203967 1309168 1811152 1835173 2407934 2618336 3622304 3670346 4815868 7340692 8427769 9631736 12846211 14681384 16855538 19263472 25692422 29362768 33711076 38526944 51384844 58725536 67422152 102769688 134844304 189022819 205539376 269688608 378045638 411078752 756091276 1323159733 1512182552 2646319466 3024365104 5292638932 6048730208 10585277864 21170555728 42341111456