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1385192019288 = 233711268142071
BaseRepresentation
bin10100001010000011111…
…000001101010101011000
311220102102102011102201210
4110022003320031111120
5140143333124104123
62540203132143120
7202035230615430
oct24120370152530
94812372142653
101385192019288
11494502868200
121a4562007aa0
13a0813aac6cc
144b087acb2c0
1526073129e93
hex14283e0d558

1385192019288 has 96 divisors (see below), whose sum is σ = 4350189876480. Its totient is φ = 359790129600.

The previous prime is 1385192019283. The next prime is 1385192019311. The reversal of 1385192019288 is 8829102915831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385192019283) 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 23 ways as a sum of consecutive naturals, for example, 34050708 + ... + 34091363.

It is an arithmetic number, because the mean of its divisors is an integer number (45314477880).

Almost surely, 21385192019288 is an apocalyptic number.

It is an amenable number.

1385192019288 is an abundant number, since it is smaller than the sum of its proper divisors (2964997857192).

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

1385192019288 is a wasteful number, since it uses less digits than its factorization.

1385192019288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68142109 (or 68142094 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 57.

The spelling of 1385192019288 in words is "one trillion, three hundred eighty-five billion, one hundred ninety-two million, nineteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 68142071 136284142 204426213 272568284 408852426 476994497 545136568 749562781 817704852 953988994 1430983491 1499125562 1635409704 1907977988 2248688343 2861966982 2998251124 3815955976 4497376686 5246939467 5723933964 5996502248 8245190591 8994753372 10493878934 11447867928 15740818401 16490381182 17989506744 20987757868 24735571773 31481636802 32980762364 41975515736 49471143546 57716334137 62963273604 65961524728 98942287092 115432668274 125926547208 173149002411 197884574184 230865336548 346298004822 461730673096 692596009644 1385192019288