Search a number
-
+
7349131280401 = 195034787160639
BaseRepresentation
bin110101011110001101001…
…0111000000000000010001
3222000120101121001122111021
41222330122113000000101
51430402010101433101
623344051100315441
71355646216120241
oct152743227000021
928016347048437
107349131280401
11238382701a809
129a8389242b81
13414035233291
141b59b2571b21
15cb27b3545a1
hex6af1a5c0011

7349131280401 has 16 divisors (see below), whose sum is σ = 7752974745600. Its totient is φ = 6946998496848.

The previous prime is 7349131280321. The next prime is 7349131280419. The reversal of 7349131280401 is 1040821319437.

It is a cyclic number.

It is not a de Polignac number, because 7349131280401 - 229 = 7348594409489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7349131287401) 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, 45669040 + ... + 45829678.

It is an arithmetic number, because the mean of its divisors is an integer number (484560921600).

Almost surely, 27349131280401 is an apocalyptic number.

It is an amenable number.

7349131280401 is a deficient number, since it is larger than the sum of its proper divisors (403843465199).

7349131280401 is a wasteful number, since it uses less digits than its factorization.

7349131280401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165948.

The product of its (nonzero) digits is 145152, while the sum is 43.

Adding to 7349131280401 its reverse (1040821319437), we get a palindrome (8389952599838).

The spelling of 7349131280401 in words is "seven trillion, three hundred forty-nine billion, one hundred thirty-one million, two hundred eighty thousand, four hundred one".

Divisors: 1 19 503 4787 9557 90953 160639 2407861 3052141 45749359 80801417 768978893 1535226923 14610598967 386796383179 7349131280401