Search a number
-
+
3144044404413 = 3211219871452991
BaseRepresentation
bin101101110000000111101…
…001100101111010111101
3102010120022212020012001100
4231300013221211322331
5403003000331420123
610404204251003313
7443102231330643
oct55600751457275
912116285205040
103144044404413
111002422112800
12429406139539
1319a63628cab3
14ac25b717193
1556bb555c643
hex2dc07a65ebd

3144044404413 has 36 divisors (see below), whose sum is σ = 4994299657984. Its totient is φ = 1904521172400.

The previous prime is 3144044404411. The next prime is 3144044404421.

3144044404413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3144044404413 - 21 = 3144044404411 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 (3144044404411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1437348 + ... + 2890338.

Almost surely, 23144044404413 is an apocalyptic number.

3144044404413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3144044404413 is a deficient number, since it is larger than the sum of its proper divisors (1850255253571).

3144044404413 is a wasteful number, since it uses less digits than its factorization.

3144044404413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455006 (or 1454992 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 3144044404413 in words is "three trillion, one hundred forty-four billion, forty-four million, four hundred four thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 1987 5961 17883 21857 65571 196713 240427 721281 1452991 2163843 4358973 13076919 15982901 47948703 143846109 175811911 527435733 1582307199 2887093117 8661279351 25983838053 31758024287 95274072861 285822218583 349338267157 1048014801471 3144044404413