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1121413440 = 26357198783
BaseRepresentation
bin100001011010111…
…0110100101000000
32220011010201001010
41002311312211000
54244040212230
6303135440520
736534566640
oct10265664500
92804121033
101121413440
11526010574
12273686140
1314b43a564
14a8d14520
15686b59b0
hex42d76940

1121413440 has 224 divisors, whose sum is σ = 4283781120. Its totient is φ = 242804736.

The previous prime is 1121413367. The next prime is 1121413451. The reversal of 1121413440 is 443141211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123289 + ... + 132071.

Almost surely, 21121413440 is an apocalyptic number.

1121413440 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 1121413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141890560).

1121413440 is an abundant number, since it is smaller than the sum of its proper divisors (3162367680).

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

1121413440 is a wasteful number, since it uses less digits than its factorization.

1121413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1121413440 is about 33487.5117021256. The cubic root of 1121413440 is about 1038.9354985628.

Adding to 1121413440 its reverse (443141211), we get a palindrome (1564554651).

The spelling of 1121413440 in words is "one billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred forty".