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1020142044 = 2232832231531
BaseRepresentation
bin111100110011100…
…010000111011100
32122002120120210200
4330303202013130
54042124021134
6245121103500
734165031025
oct7463420734
92562516720
101020142044
114839308a9
12245787b90
1313347015c
14996b1c4c
155e85e499
hex3cce21dc

1020142044 has 72 divisors (see below), whose sum is σ = 2623176192. Its totient is φ = 334225440.

The previous prime is 1020142027. The next prime is 1020142049. The reversal of 1020142044 is 4402410201.

1020142044 is a `hidden beast` number, since 1 + 0 + 201 + 420 + 44 = 666.

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 (1020142049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665559 + ... + 667089.

Almost surely, 21020142044 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 1020142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311588096).

1020142044 is an abundant number, since it is smaller than the sum of its proper divisors (1603034148).

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

1020142044 is a wasteful number, since it uses less digits than its factorization.

1020142044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1020142044 is about 31939.6625530077. The cubic root of 1020142044 is about 1006.6694344227.

Adding to 1020142044 its reverse (4402410201), we get a palindrome (5422552245).

The spelling of 1020142044 in words is "one billion, twenty million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 223 249 332 446 498 669 747 892 996 1338 1494 1531 2007 2676 2988 3062 4014 4593 6124 8028 9186 13779 18372 18509 27558 37018 55116 55527 74036 111054 127073 166581 222108 254146 333162 341413 381219 508292 666324 682826 762438 1024239 1143657 1365652 1524876 2048478 2287314 3072717 4096956 4574628 6145434 12290868 28337279 56674558 85011837 113349116 170023674 255035511 340047348 510071022 1020142044