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1020041442 = 232743593191
BaseRepresentation
bin111100110011001…
…001100011100010
32122002101110210200
4330303021203202
54042112311232
6245115010030
734164131520
oct7463114342
92562343720
101020041442
11483872262
12245739916
13133436424
1499687310
155e83e77c
hex3ccc98e2

1020041442 has 96 divisors (see below), whose sum is σ = 2629186560. Its totient is φ = 279750240.

The previous prime is 1020041441. The next prime is 1020041459. The reversal of 1020041442 is 2441400201.

1020041442 is a `hidden beast` number, since 10 + 200 + 414 + 42 = 666.

1020041442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1020041441) 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, 318067 + ... + 321257.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 21020041442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020041442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314593280).

1020041442 is an abundant number, since it is smaller than the sum of its proper divisors (1609145118).

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

1020041442 is a wasteful number, since it uses less digits than its factorization.

1020041442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1020041442 is about 31938.0876384294. The cubic root of 1020041442 is about 1006.6363422050.

Adding to 1020041442 its reverse (2441400201), we get a palindrome (3461441643).

The spelling of 1020041442 in words is "one billion, twenty million, forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 59 63 86 118 126 129 177 258 301 354 387 413 531 602 774 826 903 1062 1239 1806 2478 2537 2709 3191 3717 5074 5418 6382 7434 7611 9573 15222 17759 19146 22337 22833 28719 35518 44674 45666 53277 57438 67011 106554 134022 137213 159831 188269 201033 274426 319662 376538 402066 411639 564807 823278 960491 1129614 1234917 1317883 1694421 1920982 2469834 2635766 2881473 3388842 3953649 5762946 7907298 8095567 8644419 11860947 16191134 17288838 23721894 24286701 48573402 56668969 72860103 113337938 145720206 170006907 340013814 510020721 1020041442