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1234404430301 = 72229710967317
BaseRepresentation
bin10001111101101000001…
…111001101000111011101
311101000012202201020212202
4101331220033031013131
5130211030013232201
62343024430541245
7155116456351400
oct21755017150735
94330182636782
101234404430301
11436565135869
1217b29b667825
138c533304483
1443a618c1d37
152219a325c6b
hex11f683cd1dd

1234404430301 has 12 divisors (see below), whose sum is σ = 1436565115548. Its totient is φ = 1057600216512.

The previous prime is 1234404430213. The next prime is 1234404430361. The reversal of 1234404430301 is 1030344044321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 706894192900 + 527510237401 = 840770^2 + 726299^2 .

It is not a de Polignac number, because 1234404430301 - 214 = 1234404413917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234404430361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5371106 + ... + 5596211.

It is an arithmetic number, because the mean of its divisors is an integer number (119713759629).

Almost surely, 21234404430301 is an apocalyptic number.

It is an amenable number.

1234404430301 is a deficient number, since it is larger than the sum of its proper divisors (202160685247).

1234404430301 is a wasteful number, since it uses less digits than its factorization.

1234404430301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969628 (or 10969621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1234404430301 its reverse (1030344044321), we get a palindrome (2264748474622).

The spelling of 1234404430301 in words is "one trillion, two hundred thirty-four billion, four hundred four million, four hundred thirty thousand, three hundred one".

Divisors: 1 7 49 2297 16079 112553 10967317 76771219 537398533 25191927149 176343490043 1234404430301