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1234040430042 = 2327191283401771
BaseRepresentation
bin10001111101010010100…
…010101001110111011010
311100222021101210010101200
4101331102202221313122
5130204303322230132
62342524345055030
7155104446404220
oct21752242516732
94328241703350
101234040430042
11436398719002
1217b1b9787476
138c4a5a889c4
1443a2940cb10
15221783c3d7c
hex11f528a9dda

1234040430042 has 96 divisors (see below), whose sum is σ = 3219061547520. Its totient is φ = 333764802720.

The previous prime is 1234040430041. The next prime is 1234040430097. The reversal of 1234040430042 is 2400340404321.

It is a happy number.

1234040430042 is a `hidden beast` number, since 12 + 340 + 4 + 0 + 4 + 300 + 4 + 2 = 666.

It is a super-2 number, since 2×12340404300422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1234040429988 and 1234040430015.

It is not an unprimeable number, because it can be changed into a prime (1234040430041) 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, 2870617 + ... + 3272387.

It is an arithmetic number, because the mean of its divisors is an integer number (33531891120).

Almost surely, 21234040430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234040430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609530773760).

1234040430042 is an abundant number, since it is smaller than the sum of its proper divisors (1985021117478).

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

1234040430042 is a wasteful number, since it uses less digits than its factorization.

1234040430042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403088 (or 403085 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1234040430042 its reverse (2400340404321), we get a palindrome (3634380834363).

The spelling of 1234040430042 in words is "one trillion, two hundred thirty-four billion, forty million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1283 2394 2566 3849 7698 8981 11547 17962 23094 24377 26943 48754 53886 73131 80829 146262 161658 170639 219393 341278 401771 438786 511917 803542 1023834 1205313 1535751 2410626 2812397 3071502 3615939 5624794 7231878 7633649 8437191 15267298 16874382 22900947 25311573 45801894 50623146 53435543 68702841 106871086 137405682 160306629 320613258 480919887 515472193 961839774 1030944386 1546416579 3092833158 3608305351 4639249737 7216610702 9278499474 9793971667 10824916053 19587943334 21649832106 29381915001 32474748159 58763830002 64949496318 68557801669 88145745003 137115603338 176291490006 205673405007 411346810014 617020215021 1234040430042