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11412320320 = 2651723197463
BaseRepresentation
bin10101010000011101…
…00011000001000000
31002110100021221101101
422220032203001000
5141333023222240
65124233344144
7552544056622
oct125016430100
932410257341
1011412320320
114926a59195
122265b68054
1310cb49097b
147a3960c12
1546bd8839a
hex2a83a3040

11412320320 has 224 divisors, whose sum is σ = 30242792448. Its totient is φ = 4079910912.

The previous prime is 11412320299. The next prime is 11412320321. The reversal of 11412320320 is 2302321411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11412320321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24648409 + ... + 24648871.

Almost surely, 211412320320 is an apocalyptic number.

11412320320 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 11412320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121396224).

11412320320 is an abundant number, since it is smaller than the sum of its proper divisors (18830472128).

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

11412320320 is a wasteful number, since it uses less digits than its factorization.

11412320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11412320320 its reverse (2302321411), we get a palindrome (13714641731).

The spelling of 11412320320 in words is "eleven billion, four hundred twelve million, three hundred twenty thousand, three hundred twenty".