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11140336320 = 263541383739
BaseRepresentation
bin10100110000000010…
…00000101011000000
31001202101111201110220
422120001000223000
5140303411230240
65041240023040
7543032203431
oct123001005300
931671451426
1011140336320
1147a747a623
1221aaa61a80
131087021aa9
147797a1488
154530605d0
hex298040ac0

11140336320 has 224 divisors, whose sum is σ = 36377026560. Its totient is φ = 2886819840.

The previous prime is 11140336313. The next prime is 11140336343. The reversal of 11140336320 is 2363304111.

It is a happy number.

It is a super-2 number, since 2×111403363202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15074511 + ... + 15075249.

It is an arithmetic number, because the mean of its divisors is an integer number (162397440).

Almost surely, 211140336320 is an apocalyptic number.

11140336320 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 11140336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188513280).

11140336320 is an abundant number, since it is smaller than the sum of its proper divisors (25236690240).

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

11140336320 is a wasteful number, since it uses less digits than its factorization.

11140336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 11140336320 in words is "eleven billion, one hundred forty million, three hundred thirty-six thousand, three hundred twenty".