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1042114432 = 27191313271
BaseRepresentation
bin111110000111010…
…110011110000000
32200121220220020211
4332013112132000
54113240130212
6251224043504
734552553332
oct7607263600
92617826224
101042114432
11495278aa7
12251003594
13137b94278
149c591452
156174e9a7
hex3e1d6780

1042114432 has 64 divisors (see below), whose sum is σ = 2202710400. Its totient is φ = 489715200.

The previous prime is 1042114421. The next prime is 1042114471. The reversal of 1042114432 is 2344112401.

It is a happy number.

1042114432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316957 + ... + 320227.

It is an arithmetic number, because the mean of its divisors is an integer number (34417350).

Almost surely, 21042114432 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 1042114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101355200).

1042114432 is an abundant number, since it is smaller than the sum of its proper divisors (1160595968).

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

1042114432 is a wasteful number, since it uses less digits than its factorization.

1042114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1042114432 is about 32281.7972238226. The cubic root of 1042114432 is about 1013.8455597462.

Adding to 1042114432 its reverse (2344112401), we get a palindrome (3386226833).

The spelling of 1042114432 in words is "one billion, forty-two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 262 304 524 608 1048 1216 2096 2432 2489 3271 4192 4978 6542 8384 9956 13084 16768 19912 26168 39824 52336 62149 79648 104672 124298 159296 209344 248596 318592 418688 428501 497192 857002 994384 1714004 1988768 3428008 3977536 6856016 7955072 8141519 13712032 16283038 27424064 32566076 54848128 65132152 130264304 260528608 521057216 1042114432