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10143444032 = 263137138179
BaseRepresentation
bin10010111001001100…
…01010110001000000
3222011220200100100022
421130212022301000
5131233210202112
64354305113012
7506235565061
oct113446126100
928156610308
1010143444032
1143357896a7
121b71028768
13c586322b7
146c3222568
153e5794d72
hex25c98ac40

10143444032 has 56 divisors (see below), whose sum is σ = 21339413760. Its totient is φ = 4775431680.

The previous prime is 10143444019. The next prime is 10143444049. The reversal of 10143444032 is 23044434101.

It is a junction number, because it is equal to n+sod(n) for n = 10143443992 and 10143444010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4319 + ... + 142497.

It is an arithmetic number, because the mean of its divisors is an integer number (381060960).

Almost surely, 210143444032 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 10143444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669706880).

10143444032 is an abundant number, since it is smaller than the sum of its proper divisors (11195969728).

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

10143444032 is a wasteful number, since it uses less digits than its factorization.

10143444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138259 (or 138249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10143444032 its reverse (23044434101), we get a palindrome (33187878133).

The spelling of 10143444032 in words is "ten billion, one hundred forty-three million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 248 296 496 592 992 1147 1184 1984 2294 2368 4588 9176 18352 36704 73408 138179 276358 552716 1105432 2210864 4283549 4421728 5112623 8567098 8843456 10225246 17134196 20450492 34268392 40900984 68536784 81801968 137073568 158491313 163603936 274147136 316982626 327207872 633965252 1267930504 2535861008 5071722016 10143444032