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11230414140 = 223511229411301
BaseRepresentation
bin10100111010110001…
…01000010100111100
31001222200000011000110
422131120220110330
5140444441223030
65054214430020
7545204642121
oct123530502474
931880004013
1011230414140
114843304400
122215062310
13109c8a028a
1478772c748
1545ae051b0
hex29d62853c

11230414140 has 288 divisors, whose sum is σ = 36655778880. Its totient is φ = 2562560000.

The previous prime is 11230414121. The next prime is 11230414193. The reversal of 11230414140 is 4141403211.

It is a super-2 number, since 2×112304141402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8631490 + ... + 8632790.

It is an arithmetic number, because the mean of its divisors is an integer number (127277010).

Almost surely, 211230414140 is an apocalyptic number.

11230414140 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 11230414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327889440).

11230414140 is an abundant number, since it is smaller than the sum of its proper divisors (25425364740).

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

11230414140 is a wasteful number, since it uses less digits than its factorization.

11230414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1392 counting only the distinct ones).

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

Adding to 11230414140 its reverse (4141403211), we get a palindrome (15371817351).

The spelling of 11230414140 in words is "eleven billion, two hundred thirty million, four hundred fourteen thousand, one hundred forty".