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1133304402144 = 253174141940423
BaseRepresentation
bin10000011111011110001…
…101001101000011100000
311000100020221011200200110
4100133132031031003200
5122032001411332034
62224344410251320
7144610224321615
oct20373615150340
94010227150613
101133304402144
113a76a4876292
12163785426b40
1382b409342c5
143cbd071650c
151e72e74bde9
hex107de34d0e0

1133304402144 has 192 divisors, whose sum is σ = 3234527976960. Its totient is φ = 346038190080.

The previous prime is 1133304402133. The next prime is 1133304402157. The reversal of 1133304402144 is 4412044033311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28015917 + ... + 28056339.

It is an arithmetic number, because the mean of its divisors is an integer number (16846499880).

Almost surely, 21133304402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133304402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617263988480).

1133304402144 is an abundant number, since it is smaller than the sum of its proper divisors (2101223574816).

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

1133304402144 is a wasteful number, since it uses less digits than its factorization.

1133304402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40913 (or 40905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1133304402144 its reverse (4412044033311), we get a palindrome (5545348435455).

The spelling of 1133304402144 in words is "one trillion, one hundred thirty-three billion, three hundred four million, four hundred two thousand, one hundred forty-four".