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1124423201440 = 2557112310633733
BaseRepresentation
bin10000010111001100110…
…110000111001010100000
310222111022222121221200001
4100113030312013022200
5121410304314421230
62220315231305344
7144144153341320
oct20271466071240
93874288557601
101124423201440
113a39576467a0
12161b0707b254
138205697a566
143c5cadc7280
151e3aebda0ca
hex105ccd872a0

1124423201440 has 384 divisors, whose sum is σ = 3460112474112. Its totient is φ = 334826680320.

The previous prime is 1124423201431. The next prime is 1124423201567. The reversal of 1124423201440 is 441023244211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1124423201399 and 1124423201408.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 301209814 + ... + 301213546.

It is an arithmetic number, because the mean of its divisors is an integer number (9010709568).

Almost surely, 21124423201440 is an apocalyptic number.

1124423201440 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 1124423201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730056237056).

1124423201440 is an abundant number, since it is smaller than the sum of its proper divisors (2335689272672).

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

1124423201440 is a wasteful number, since it uses less digits than its factorization.

1124423201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1124423201440 its reverse (441023244211), we get a palindrome (1565446445651).

The spelling of 1124423201440 in words is "one trillion, one hundred twenty-four billion, four hundred twenty-three million, two hundred one thousand, four hundred forty".