Search a number
-
+
1130042041434 = 23429617389849
BaseRepresentation
bin10000011100011011110…
…000010010010001011010
311000000211120110121010000
4100130123300102101122
5122003311230311214
62223044550433430
7144433331603115
oct20343360222132
94000746417100
101130042041434
113a62802aa409
12163014962876
1382740aa0157
143c9a133757c
151e5dd131809
hex1071bc1245a

1130042041434 has 80 divisors (see below), whose sum is σ = 2623698297000. Its totient is φ = 363101308416.

The previous prime is 1130042041417. The next prime is 1130042041439. The reversal of 1130042041434 is 4341402400311.

1130042041434 is a `hidden beast` number, since 11 + 300 + 4 + 204 + 143 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253861799409 + 876180242025 = 503847^2 + 936045^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1130042041398 and 1130042041407.

It is not an unprimeable number, because it can be changed into a prime (1130042041439) 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 39 ways as a sum of consecutive naturals, for example, 2703742 + ... + 3093590.

Almost surely, 21130042041434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130042041434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311849148500).

1130042041434 is an abundant number, since it is smaller than the sum of its proper divisors (1493656255566).

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

1130042041434 is a wasteful number, since it uses less digits than its factorization.

1130042041434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390509 (or 390500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1130042041434 its reverse (4341402400311), we get a palindrome (5471444441745).

The spelling of 1130042041434 in words is "one trillion, one hundred thirty billion, forty-two million, forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 617 783 1234 1566 1851 2349 3702 4698 5553 11106 16659 17893 33318 35786 49977 53679 99954 107358 161037 322074 389849 483111 779698 966222 1169547 1449333 2339094 2898666 3508641 7017282 10525923 11305621 21051846 22611242 31577769 33916863 63155538 67833726 101750589 203501178 240536833 305251767 481073666 610503534 721610499 915755301 1443220998 1831510602 2164831497 4329662994 6494494491 6975568157 12988988982 13951136314 19483483473 20926704471 38966966946 41853408942 62780113413 125560226826 188340340239 376680680478 565021020717 1130042041434