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34042232450 = 2529722692
BaseRepresentation
bin11111101101000100…
…110011111010000010
310020212110110120212002
4133231010303322002
51024204302414300
623345551104002
72313412126052
oct375504637202
9106773416762
1034042232450
1113489a53106
126720812002
133296982515
14190d233562
15d439425d5
hex7ed133e82

34042232450 has 54 divisors (see below), whose sum is σ = 64216771281. Its totient is φ = 13426414080.

The previous prime is 34042232447. The next prime is 34042232453. The reversal of 34042232450 is 5423224043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34042232447) and next prime (34042232453).

It can be written as a sum of positive squares in 14 ways, for example, as 14765409169 + 19276823281 = 121513^2 + 138841^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130465.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34042232453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126550916 + ... + 126551184.

Almost surely, 234042232450 is an apocalyptic number.

34042232450 is a deficient number, since it is larger than the sum of its proper divisors (30174538831).

34042232450 is an frugal number, since it uses more digits than its factorization.

34042232450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 34042232450 its reverse (5423224043), we get a palindrome (39465456493).

The spelling of 34042232450 in words is "thirty-four billion, forty-two million, two hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 97 194 269 485 538 970 1345 2425 2690 4850 6725 9409 13450 18818 26093 47045 52186 72361 94090 130465 144722 235225 260930 361805 470450 652325 723610 1304650 1809025 2531021 3618050 5062042 7019017 12655105 14038034 25310210 35095085 63275525 70190170 126551050 175475425 350950850 680844649 1361689298 3404223245 6808446490 17021116225 34042232450