Search a number
-
+
1042401129 = 3711792392
BaseRepresentation
bin111110001000011…
…100011101101001
32200122110110112020
4332020130131221
54113323314004
6251234135053
734555156230
oct7610343551
92618413466
101042401129
11495454440
12251121489
13137c64903
149c627b17
15617a98d9
hex3e21c769

1042401129 has 48 divisors (see below), whose sum is σ = 1762129920. Its totient is φ = 532415520.

The previous prime is 1042401083. The next prime is 1042401131. The reversal of 1042401129 is 9211042401.

It is not a de Polignac number, because 1042401129 - 29 = 1042400617 is a prime.

It is a super-2 number, since 2×10424011292 = 2173200227480949282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042401099 and 1042401108.

It is not an unprimeable number, because it can be changed into a prime (1042401149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4361392 + ... + 4361630.

It is an arithmetic number, because the mean of its divisors is an integer number (36711040).

Almost surely, 21042401129 is an apocalyptic number.

It is an amenable number.

1042401129 is a deficient number, since it is larger than the sum of its proper divisors (719728791).

1042401129 is an equidigital number, since it uses as much as digits as its factorization.

1042401129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1042401129 is about 32286.2374549900. The cubic root of 1042401129 is about 1013.9385245303.

The spelling of 1042401129 in words is "one billion, forty-two million, four hundred one thousand, one hundred twenty-nine".

Divisors: 1 3 7 11 21 33 77 79 231 237 239 553 717 869 1659 1673 2607 2629 5019 6083 7887 18249 18403 18881 55209 56643 57121 132167 171363 207691 396501 399847 623073 628331 1199541 1453837 1884993 4361511 4398317 4512559 13194951 13537677 31587913 49638149 94763739 148914447 347467043 1042401129