Search a number
-
+
10143022432 = 253129334897
BaseRepresentation
bin10010111001001001…
…00011110101100000
3222011212212221000111
421130210203311200
5131233103204212
64354252101104
7506232160654
oct113444436540
928155787014
1010143022432
114335520974
121b70a64794
13c5851542a
146c3152a64
153e570eea7
hex25c923d60

10143022432 has 48 divisors (see below), whose sum is σ = 20684184192. Its totient is φ = 4891023360.

The previous prime is 10143022423. The next prime is 10143022433. The reversal of 10143022432 is 23422034101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143022433) 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, 273208 + ... + 308104.

It is an arithmetic number, because the mean of its divisors is an integer number (430920504).

Almost surely, 210143022432 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 10143022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342092096).

10143022432 is an abundant number, since it is smaller than the sum of its proper divisors (10541161760).

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

10143022432 is a wasteful number, since it uses less digits than its factorization.

10143022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35231 (or 35223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10143022432 its reverse (23422034101), we get a palindrome (33565056533).

The spelling of 10143022432 in words is "ten billion, one hundred forty-three million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 293 496 586 992 1172 2344 4688 9083 9376 18166 34897 36332 69794 72664 139588 145328 279176 290656 558352 1081807 1116704 2163614 4327228 8654456 10224821 17308912 20449642 34617824 40899284 81798568 163597136 316969451 327194272 633938902 1267877804 2535755608 5071511216 10143022432