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11400332331141 = 331377342017567
BaseRepresentation
bin1010010111100101100011…
…0000100100100010000101
31111100212020202120012221000
42211321120300210202011
52443240340034044031
640125123530443513
72254434601641645
oct245713060444205
944325222505830
1011400332331141
1136a5943438646
121341564293599
1364907b870230
142b5ac9926525
1514b83734b3e6
hexa5e58c24885

11400332331141 has 32 divisors (see below), whose sum is σ = 18212094673920. Its totient is φ = 7006513165632.

The previous prime is 11400332331127. The next prime is 11400332331151. The reversal of 11400332331141 is 14113323300411.

11400332331141 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 332 + 3 + 311 + 4 + 1 = 666.

It is not a de Polignac number, because 11400332331141 - 27 = 11400332331013 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400332331151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20737461 + ... + 21280106.

It is an arithmetic number, because the mean of its divisors is an integer number (569127958560).

Almost surely, 211400332331141 is an apocalyptic number.

It is an amenable number.

11400332331141 is a deficient number, since it is larger than the sum of its proper divisors (6811762342779).

11400332331141 is a wasteful number, since it uses less digits than its factorization.

11400332331141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42018362 (or 42018356 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11400332331141 its reverse (14113323300411), we get a palindrome (25513655631552).

The spelling of 11400332331141 in words is "eleven trillion, four hundred billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 773 2319 6957 10049 20871 30147 90441 271323 42017567 126052701 378158103 546228371 1134474309 1638685113 4916055339 14748166017 32479579291 97438737873 292316213619 422234530783 876948640857 1266703592349 3800110777047 11400332331141