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144420141320312 = 231113235488755751
BaseRepresentation
bin100000110101100101101111…
…001110001100100001111000
3200221100102121221221200210112
4200311211233032030201320
5122412134422134222222
61231053410315403452
742264003506426534
oct4065455716144170
9627312557850715
10144420141320312
1142020268828280
1214245711153588
1362779b78a2380
142793d87780bc4
1511a6a75223be2
hex83596f38c878

144420141320312 has 64 divisors (see below), whose sum is σ = 331959947880960. Its totient is φ = 57961260720000.

The previous prime is 144420141320207. The next prime is 144420141320341. The reversal of 144420141320312 is 213023141024441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2744351564 + ... + 2744404187.

It is an arithmetic number, because the mean of its divisors is an integer number (5186874185640).

Almost surely, 2144420141320312 is an apocalyptic number.

It is an amenable number.

144420141320312 is an abundant number, since it is smaller than the sum of its proper divisors (187539806560648).

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

144420141320312 is a wasteful number, since it uses less digits than its factorization.

144420141320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488755804 (or 5488755800 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144420141320312 its reverse (213023141024441), we get a palindrome (357443282344753).

The spelling of 144420141320312 in words is "one hundred forty-four trillion, four hundred twenty billion, one hundred forty-one million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 13156 26312 5488755751 10977511502 21955023004 43910046008 60376313261 71353824763 120752626522 126241382273 142707649526 241505253044 252482764546 285415299052 483010506088 504965529092 570830598104 784892072393 1009931058184 1388655205003 1569784144786 1641137969549 2777310410006 3139568289572 3282275939098 5554620820012 6279136579144 6564551878196 11109241640024 13129103756392 18052517665039 36105035330078 72210070660156 144420141320312