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1042114302 = 233415383107
BaseRepresentation
bin111110000111010…
…110011011111110
32200121220220002000
4332013112123332
54113240124202
6251224043130
734552553055
oct7607263376
92617826060
101042114302
11495278999
122510034a6
13137b941a8
149c59139c
156174e91c
hex3e1d66fe

1042114302 has 128 divisors (see below), whose sum is σ = 2469035520. Its totient is φ = 325428480.

The previous prime is 1042114289. The next prime is 1042114303. The reversal of 1042114302 is 2034112401.

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 (1042114303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9739333 + ... + 9739439.

It is an arithmetic number, because the mean of its divisors is an integer number (19289340).

Almost surely, 21042114302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042114302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

1042114302 is an abundant number, since it is smaller than the sum of its proper divisors (1426921218).

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

1042114302 is a wasteful number, since it uses less digits than its factorization.

1042114302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

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

The square root of 1042114302 is about 32281.7952103039. The cubic root of 1042114302 is about 1013.8455175884.

Adding to 1042114302 its reverse (2034112401), we get a palindrome (3076226703).

The spelling of 1042114302 in words is "one billion, forty-two million, one hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 83 106 107 123 159 166 214 246 249 318 321 369 477 498 642 738 747 954 963 1107 1431 1494 1926 2173 2214 2241 2862 2889 3403 4346 4387 4399 4482 5671 5778 6519 6806 8774 8798 8881 10209 11342 13038 13161 13197 17013 17762 19557 20418 26322 26394 26643 30627 34026 39114 39483 39591 51039 53286 58671 61254 78966 79182 79929 91881 102078 117342 118449 118773 153117 159858 180359 183762 232511 236898 237546 239787 306234 360718 364121 465022 470693 479574 541077 697533 728242 941386 1082154 1092363 1395066 1412079 1623231 2092599 2184726 2824158 3246462 3277089 4185198 4236237 4869693 6277797 6554178 8472474 9739386 9831267 12555594 12708711 19298413 19662534 25417422 38596826 57895239 115790478 173685717 347371434 521057151 1042114302