Search a number
-
+
30401224045441 = 411073776905513
BaseRepresentation
bin1101110100110010101100…
…01010001111001110000001
310222122022212120112002011021
412322121112022033032001
512441043201323423231
6144354043550545441
76255262446453634
oct672312612171601
9128568776462137
1030401224045441
1197610a5462957
1234abb64508281
1313c6a91540622
147715d9d3bc1b
1537ac13dac811
hex1ba65628f381

30401224045441 has 8 divisors (see below), whose sum is σ = 31143011856264. Its totient is φ = 29659450260480.

The previous prime is 30401224045391. The next prime is 30401224045453. The reversal of 30401224045441 is 14454042210403.

It can be written as a sum of positive squares in 4 ways, for example, as 4978713600 + 30396245331841 = 70560^2 + 5513279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 30401224045441 - 231 = 30399076561793 is a prime.

It is a super-3 number, since 3×304012240454413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30401224045397 and 30401224045406.

It is not an unprimeable number, because it can be changed into a prime (30401224045541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949701 + ... + 7855213.

It is an arithmetic number, because the mean of its divisors is an integer number (3892876482033).

Almost surely, 230401224045441 is an apocalyptic number.

It is an amenable number.

30401224045441 is a deficient number, since it is larger than the sum of its proper divisors (741787810823).

30401224045441 is a wasteful number, since it uses less digits than its factorization.

30401224045441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012931.

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 30401224045441 its reverse (14454042210403), we get a palindrome (44855266255844).

The spelling of 30401224045441 in words is "thirty trillion, four hundred one billion, two hundred twenty-four million, forty-five thousand, four hundred forty-one".

Divisors: 1 41 107377 4402457 6905513 283126033 741493269401 30401224045441