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1040430042 = 233293791753
BaseRepresentation
bin111110000000111…
…011001111011010
32200111202022201000
4332000323033122
54112322230132
6251124005430
734532336511
oct7600731732
92614668630
101040430042
11494328543
12250530876
131377246a2
149c273678
156151a87c
hex3e03b3da

1040430042 has 64 divisors (see below), whose sum is σ = 2399472000. Its totient is φ = 333777024.

The previous prime is 1040430037. The next prime is 1040430043. The reversal of 1040430042 is 2400340401.

It is a super-2 number, since 2×10404300422 = 2164989344592243528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040429997 and 1040430024.

It is not an unprimeable number, because it can be changed into a prime (1040430043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 592638 + ... + 594390.

It is an arithmetic number, because the mean of its divisors is an integer number (37491750).

Almost surely, 21040430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199736000).

1040430042 is an abundant number, since it is smaller than the sum of its proper divisors (1359041958).

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

1040430042 is a wasteful number, since it uses less digits than its factorization.

1040430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040430042 is about 32255.6978222453. The cubic root of 1040430042 is about 1013.2990323637.

Adding to 1040430042 its reverse (2400340401), we get a palindrome (3440770443).

The spelling of 1040430042 in words is "one billion, forty million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 379 522 758 783 1137 1566 1753 2274 3411 3506 5259 6822 10233 10518 10991 15777 20466 21982 31554 32973 47331 50837 65946 94662 98919 101674 152511 197838 296757 305022 457533 593514 664387 915066 1328774 1372599 1993161 2745198 3986322 5979483 11958966 17938449 19267223 35876898 38534446 57801669 115603338 173405007 346810014 520215021 1040430042