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1042100444 = 2272114111789
BaseRepresentation
bin111110000111010…
…011000011011100
32200121220012001202
4332013103003130
54113234203234
6251223455032
734552464500
oct7607230334
92617805052
101042100444
11495269540
12250bb7478
13137b8aaa8
149c58a300
156174a77e
hex3e1d30dc

1042100444 has 72 divisors (see below), whose sum is σ = 2370921840. Its totient is φ = 396076800.

The previous prime is 1042100431. The next prime is 1042100447. The reversal of 1042100444 is 4440012401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042100447) 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, 82502 + ... + 94290.

It is an arithmetic number, because the mean of its divisors is an integer number (32929470).

Almost surely, 21042100444 is an apocalyptic number.

1042100444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185460920).

1042100444 is an abundant number, since it is smaller than the sum of its proper divisors (1328821396).

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

1042100444 is a wasteful number, since it uses less digits than its factorization.

1042100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1042100444 is about 32281.5805684914. The cubic root of 1042100444 is about 1013.8410235409.

Adding to 1042100444 its reverse (4440012401), we get a palindrome (5482112845).

The spelling of 1042100444 in words is "one billion, forty-two million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 154 164 196 287 308 451 539 574 902 1078 1148 1804 2009 2156 3157 4018 6314 8036 11789 12628 22099 23578 44198 47156 82523 88396 129679 165046 259358 330092 483349 518716 577661 907753 966698 1155322 1815506 1933396 2310644 3383443 3631012 5316839 6354271 6766886 10633678 12708542 13533772 21267356 23684101 25417084 37217873 47368202 74435746 94736404 148871492 260525111 521050222 1042100444