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1133404512240 = 2435711213617989
BaseRepresentation
bin10000011111100100001…
…011000101111111110000
311000100111220112210220210
4100133210023011333300
5122032203023342430
62224402344104120
7144612551253030
oct20374413057760
94010456483823
101133404512240
113a7746332500
121637b2a65040
1382b585b5c50
143cbddb358c0
151e7384242b0
hex107e42c5ff0

1133404512240 has 1920 divisors, whose sum is σ = 4947283353600. Its totient is φ = 208753459200.

The previous prime is 1133404512199. The next prime is 1133404512259. The reversal of 1133404512240 is 422154043311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1133404512198 and 1133404512207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12734882116 + ... + 12734882204.

It is an arithmetic number, because the mean of its divisors is an integer number (2576710080).

Almost surely, 21133404512240 is an apocalyptic number.

1133404512240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133404512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473641676800).

1133404512240 is an abundant number, since it is smaller than the sum of its proper divisors (3813878841360).

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

1133404512240 is a wasteful number, since it uses less digits than its factorization.

1133404512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1133404512240 its reverse (422154043311), we get a palindrome (1555558555551).

The spelling of 1133404512240 in words is "one trillion, one hundred thirty-three billion, four hundred four million, five hundred twelve thousand, two hundred forty".