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1042414044 = 223732511009
BaseRepresentation
bin111110001000011…
…111100111011100
32200122111010020120
4332020133213130
54113324222134
6251234314540
734555242000
oct7610374734
92618433216
101042414044
11495463111
12251128a50
13137c6a759
149c62c700
15617ad649
hex3e21f9dc

1042414044 has 96 divisors (see below), whose sum is σ = 2850624000. Its totient is φ = 296352000.

The previous prime is 1042414003. The next prime is 1042414049. The reversal of 1042414044 is 4404142401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042414049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032612 + ... + 1033620.

It is an arithmetic number, because the mean of its divisors is an integer number (29694000).

Almost surely, 21042414044 is an apocalyptic number.

1042414044 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 1042414044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425312000).

1042414044 is an abundant number, since it is smaller than the sum of its proper divisors (1808209956).

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

1042414044 is a wasteful number, since it uses less digits than its factorization.

1042414044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1042414044 is about 32286.4374621915. The cubic root of 1042414044 is about 1013.9427119656.

Adding to 1042414044 its reverse (4404142401), we get a palindrome (5446556445).

The spelling of 1042414044 in words is "one billion, forty-two million, four hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 343 502 588 686 753 1004 1009 1029 1372 1506 1757 2018 2058 3012 3027 3514 4036 4116 5271 6054 7028 7063 10542 12108 12299 14126 21084 21189 24598 28252 36897 42378 49196 49441 73794 84756 86093 98882 147588 148323 172186 197764 253259 258279 296646 344372 346087 506518 516558 593292 692174 759777 1013036 1033116 1038261 1384348 1519554 1772813 2076522 3039108 3545626 4153044 5318439 7091252 10636878 12409691 21273756 24819382 37229073 49638764 74458146 86867837 148916292 173735674 260603511 347471348 521207022 1042414044