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1142004511413 = 326110727770183
BaseRepresentation
bin10000100111100100110…
…001011111001010110101
311001011201020222000221200
4100213210301133022311
5122202311123331123
62232344000003113
7145335636116643
oct20474461371265
94034636860850
101142004511413
11400359858137
121653b3000499
13838c922445c
143d3b7d86193
151ea8d43c143
hex109e4c5f2b5

1142004511413 has 48 divisors (see below), whose sum is σ = 1698406759296. Its totient is φ = 739168053120.

The previous prime is 1142004511399. The next prime is 1142004511433. The reversal of 1142004511413 is 3141154002411.

It is a happy number.

1142004511413 is a `hidden beast` number, since 1 + 1 + 4 + 200 + 45 + 1 + 1 + 413 = 666.

It is not a de Polignac number, because 1142004511413 - 212 = 1142004507317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142004511433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16236720 + ... + 16306902.

It is an arithmetic number, because the mean of its divisors is an integer number (35383474152).

Almost surely, 21142004511413 is an apocalyptic number.

It is an amenable number.

1142004511413 is a deficient number, since it is larger than the sum of its proper divisors (556402247883).

1142004511413 is a wasteful number, since it uses less digits than its factorization.

1142004511413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70634 (or 70631 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1142004511413 its reverse (3141154002411), we get a palindrome (4283158513824).

The spelling of 1142004511413 in words is "one trillion, one hundred forty-two billion, four million, five hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 9 61 107 183 277 321 549 831 963 2493 6527 16897 19581 29639 50691 58743 70183 88917 152073 210549 266751 631647 1807979 4281163 5423937 7509581 12843489 16271811 19440691 22528743 38530467 58322073 67586229 174966219 458084441 1185882151 1374253323 2080153937 3557646453 4122759969 6240461811 10672939359 18721385433 126889390157 380668170471 1142004511413