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1214413221144 = 2331721661137413
BaseRepresentation
bin10001101011000000101…
…010110010110100011000
311022002121112201121101210
4101223000222302310120
5124344104241034034
62325521013543120
7153511202026644
oct21530052626430
94262545647353
101214413221144
11429036670502
12177440644aa0
138a6986b6c26
1442ac6847c24
15218ca2448e9
hex11ac0ab2d18

1214413221144 has 64 divisors (see below), whose sum is σ = 3214795033440. Its totient is φ = 380972021760.

The previous prime is 1214413221083. The next prime is 1214413221149. The reversal of 1214413221144 is 4411223144121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214413221149) 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, 8768982 + ... + 8906394.

Almost surely, 21214413221144 is an apocalyptic number.

It is an amenable number.

1214413221144 is an abundant number, since it is smaller than the sum of its proper divisors (2000381812296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1214413221144 is a wasteful number, since it uses less digits than its factorization.

1214413221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159100 (or 159096 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 1214413221144 its reverse (4411223144121), we get a palindrome (5625636365265).

The spelling of 1214413221144 in words is "one trillion, two hundred fourteen billion, four hundred thirteen million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 21661 43322 64983 86644 129966 137413 173288 259932 274826 368237 412239 519864 549652 736474 824478 1099304 1104711 1472948 1648956 2209422 2336021 2945896 3297912 4418844 4672042 7008063 8837688 9344084 14016126 18688168 28032252 56064504 2976502993 5953005986 8929508979 11906011972 17859017958 23812023944 35718035916 50600550881 71436071832 101201101762 151801652643 202402203524 303603305286 404804407048 607206610572 1214413221144