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13144321332 = 2234187121683
BaseRepresentation
bin11000011110111011…
…00110110100110100
31020221001100201010000
430033131212310310
5203404421240312
610012144231300
7643504613352
oct141735466464
936831321100
1013144321332
11563569918a
12266a00b530
131316262c3c
148c99b67d2
1551de5dadc
hex30f766d34

13144321332 has 60 divisors (see below), whose sum is σ = 34381803456. Its totient is φ = 4378896720.

The previous prime is 13144321321. The next prime is 13144321343. The reversal of 13144321332 is 23312344131.

It is a happy number.

13144321332 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 321 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (13144321321) and next prime (13144321343).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 13144321296 and 13144321305.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 595363 + ... + 617045.

Almost surely, 213144321332 is an apocalyptic number.

13144321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13144321332 is an abundant number, since it is smaller than the sum of its proper divisors (21237482124).

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

13144321332 is a wasteful number, since it uses less digits than its factorization.

13144321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570 (or 23559 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13144321332 its reverse (23312344131), we get a palindrome (36456665463).

The spelling of 13144321332 in words is "thirteen billion, one hundred forty-four million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1871 3742 5613 7484 11226 16839 21683 22452 33678 43366 50517 65049 67356 86732 101034 130098 151551 195147 202068 260196 303102 390294 585441 606204 780588 1170882 1756323 2341764 3512646 7025292 40568893 81137786 121706679 162275572 243413358 365120037 486826716 730240074 1095360111 1460480148 2190720222 3286080333 4381440444 6572160666 13144321332