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1000131444 = 2232132137033
BaseRepresentation
bin111011100111001…
…100101101110100
32120200220221102100
4323213030231310
54022013201234
6243124142100
733532656054
oct7347145564
92520827370
101000131444
11473603614
1223ab37930
1312c284c70
1496b83564
155cc0a399
hex3b9ccb74

1000131444 has 36 divisors (see below), whose sum is σ = 2722581316. Its totient is φ = 307732608.

The previous prime is 1000131397. The next prime is 1000131449. The reversal of 1000131444 is 4441310001.

It can be written as a sum of positive squares in 2 ways, for example, as 303804900 + 696326544 = 17430^2 + 26388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×10001314444 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000131449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068049 + ... + 1068984.

Almost surely, 21000131444 is an apocalyptic number.

It is an amenable number.

1000131444 is an abundant number, since it is smaller than the sum of its proper divisors (1722449872).

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

1000131444 is a wasteful number, since it uses less digits than its factorization.

1000131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137056 (or 2137051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000131444 is about 31624.8548455167. The cubic root of 1000131444 is about 1000.0438127471.

Adding to 1000131444 its reverse (4441310001), we get a palindrome (5441441445).

The spelling of 1000131444 in words is "one billion, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2137033 4274066 6411099 8548132 12822198 19233297 25644396 27781429 38466594 55562858 76933188 83344287 111125716 166688574 250032861 333377148 500065722 1000131444