Search a number
-
+
16234233243261 = 3113161733563719
BaseRepresentation
bin1110110000111101001110…
…1101001010011001111101
32010110222101121221102122120
43230033103231022121331
54111440202202241021
654305523115233153
73263612301516435
oct354172355123175
963428347842576
1016234233243261
115199999492a50
1219a2377a487b9
13909b5cc17537
14401a537552c5
151d24529232c6
hexec3d3b4a67d

16234233243261 has 64 divisors (see below), whose sum is σ = 25114133544960. Its totient is φ = 9237157056000.

The previous prime is 16234233243259. The next prime is 16234233243299.

16234233243261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16234233243261 - 21 = 16234233243259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16234233242261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2773560 + ... + 6337278.

It is an arithmetic number, because the mean of its divisors is an integer number (392408336640).

Almost surely, 216234233243261 is an apocalyptic number.

16234233243261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16234233243261 is a deficient number, since it is larger than the sum of its proper divisors (8879900301699).

16234233243261 is a wasteful number, since it uses less digits than its factorization.

16234233243261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563898.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 1623423 and 3243261, that added together give a palindrome (4866684).

The spelling of 16234233243261 in words is "sixteen trillion, two hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, two hundred sixty-one".

Divisors: 1 3 11 31 33 61 73 93 183 219 341 671 803 1023 1891 2013 2263 2409 4453 5673 6789 13359 20801 24893 48983 62403 74679 138043 146949 414129 1518473 3563719 4555419 10691157 39200909 110475289 117602727 217386859 260151487 331425867 652160577 780454461 1215228179 2391255449 2861666357 3645684537 6738992629 7173766347 8064696097 8584999071 15869240707 20216977887 24194088291 47607722121 74128918919 88711657067 174561647777 222386756757 266134971201 491946461917 523684943331 1475839385751 5411411081087 16234233243261