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1042109874 = 2381341149
BaseRepresentation
bin111110000111010…
…101010110110010
32200121220200000000
4332013111112302
54113240003444
6251224010430
734552534131
oct7607252662
92617820000
101042109874
11495275633
12251000a16
13137b92180
149c58d918
156174d469
hex3e1d55b2

1042109874 has 144 divisors (see below), whose sum is σ = 2603928600. Its totient is φ = 310728960.

The previous prime is 1042109863. The next prime is 1042109881. The reversal of 1042109874 is 4789012401.

It can be written as a sum of positive squares in 4 ways, for example, as 224550225 + 817559649 = 14985^2 + 28593^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6993952 + ... + 6994100.

Almost surely, 21042109874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042109874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301964300).

1042109874 is an abundant number, since it is smaller than the sum of its proper divisors (1561818726).

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

1042109874 is an equidigital number, since it uses as much as digits as its factorization.

1042109874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1042109874 is about 32281.7266266846. The cubic root of 1042109874 is about 1013.8440816249.

The spelling of 1042109874 in words is "one billion, forty-two million, one hundred nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 149 162 234 243 246 298 351 369 447 486 533 702 729 738 894 1053 1066 1107 1341 1458 1599 1937 2106 2187 2214 2682 3159 3198 3321 3874 4023 4374 4797 5811 6109 6318 6561 6642 8046 9477 9594 9963 11622 12069 12218 13122 14391 17433 18327 18954 19926 24138 28431 28782 29889 34866 36207 36654 43173 52299 54981 56862 59778 72414 79417 85293 86346 89667 104598 108621 109962 129519 156897 158834 164943 170586 179334 217242 238251 259038 269001 313794 325863 329886 388557 470691 476502 494829 538002 651726 714753 777114 941382 977589 989658 1165671 1412073 1429506 1484487 1955178 2144259 2331342 2824146 2968974 3497013 4236219 4288518 4453461 6432777 6994026 8472438 8906922 12708657 12865554 13360383 19298331 25417314 26720766 38596662 40081149 57894993 80162298 115789986 173684979 347369958 521054937 1042109874