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144681142424 = 23721328391119
BaseRepresentation
bin1000011010111110101…
…0110000100010011000
3111211110002002112221112
42012233222300202120
54332301333024144
6150244322555452
713311222263600
oct2065752604230
9454402075845
10144681142424
11563a4807795
1224059508b88
131084964c660
14700720bc00
153b6bb9199e
hex21afab0898

144681142424 has 48 divisors (see below), whose sum is σ = 339841706400. Its totient is φ = 57236493888.

The previous prime is 144681142379. The next prime is 144681142451. The reversal of 144681142424 is 424241186441.

It is a super-2 number, since 2×1446811424242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14190464 + ... + 14200655.

It is an arithmetic number, because the mean of its divisors is an integer number (7080035550).

Almost surely, 2144681142424 is an apocalyptic number.

144681142424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144681142424 is an abundant number, since it is smaller than the sum of its proper divisors (195160563976).

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

144681142424 is a wasteful number, since it uses less digits than its factorization.

144681142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28391152 (or 28391141 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The spelling of 144681142424 in words is "one hundred forty-four billion, six hundred eighty-one million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 28391119 56782238 113564476 198737833 227128952 369084547 397475666 738169094 794951332 1391164831 1476338188 1589902664 2583591829 2782329662 2952676376 5167183658 5564659324 10334367316 11129318648 18085142803 20668734632 36170285606 72340571212 144681142424