Search a number
-
+
1342435472001 = 321343126621363
BaseRepresentation
bin10011100010001111011…
…000111011001010000001
311202100001122011210020100
4103202033120323022001
5133443301440101001
62504412323033013
7165662542144551
oct23421730731201
94670048153210
101342435472001
11478361910408
1219820ab0b769
139978b9051a0
1448d8d3ab161
1524dbe63d586
hex1388f63b281

1342435472001 has 24 divisors (see below), whose sum is σ = 2093078123136. Its totient is φ = 824197367520.

The previous prime is 1342435471999. The next prime is 1342435472003. The reversal of 1342435472001 is 1002745342431.

1342435472001 is a `hidden beast` number, since 13 + 4 + 2 + 435 + 4 + 7 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1342435471999) and next prime (1342435472003).

It is not a de Polignac number, because 1342435472001 - 21 = 1342435471999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1342435472003) 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 23 ways as a sum of consecutive naturals, for example, 13260255 + ... + 13361108.

It is an arithmetic number, because the mean of its divisors is an integer number (87211588464).

Almost surely, 21342435472001 is an apocalyptic number.

It is an amenable number.

1342435472001 is a deficient number, since it is larger than the sum of its proper divisors (750642651135).

1342435472001 is a wasteful number, since it uses less digits than its factorization.

1342435472001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26621813 (or 26621810 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1342435472001 in words is "one trillion, three hundred forty-two billion, four hundred thirty-five million, four hundred seventy-two thousand, one".

Divisors: 1 3 9 13 39 117 431 1293 3879 5603 16809 50427 26621363 79864089 239592267 346077719 1038233157 3114699471 11473807453 34421422359 103264267077 149159496889 447478490667 1342435472001