Search a number
-
+
414133302121 = 71126931997161
BaseRepresentation
bin1100000011011000100…
…01001011001101101001
31110120221122212111200221
412001230101023031221
523241121111131441
6514130013530041
741630415662320
oct6015421131551
91416848774627
10414133302121
1114a6a64a8480
12683184a3921
133008b7509c6
14160892590b7
15ab8c5ad8d1
hex606c44b369

414133302121 has 16 divisors (see below), whose sum is σ = 516514025088. Its totient is φ = 322581283200.

The previous prime is 414133302119. The next prime is 414133302169. The reversal of 414133302121 is 121203331414.

It is not a de Polignac number, because 414133302121 - 21 = 414133302119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414133302421) 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 15 ways as a sum of consecutive naturals, for example, 791220 + ... + 1205941.

It is an arithmetic number, because the mean of its divisors is an integer number (32282126568).

Almost surely, 2414133302121 is an apocalyptic number.

It is an amenable number.

414133302121 is a deficient number, since it is larger than the sum of its proper divisors (102380722967).

414133302121 is a wasteful number, since it uses less digits than its factorization.

414133302121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999872.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 414133302121 its reverse (121203331414), we get a palindrome (535336633535).

The spelling of 414133302121 in words is "four hundred fourteen billion, one hundred thirty-three million, three hundred two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 2693 18851 29623 207361 1997161 13980127 21968771 153781397 5378354573 37648482011 59161900303 414133302121