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3112144140 = 2235719571683
BaseRepresentation
bin1011100101111111…
…1000110100001100
322000220001022011210
42321133320310030
522333202103030
61232452014420
7140056534350
oct27137706414
98026038153
103112144140
1113577a6a56
1272a301410
133a79ba811
14217479460
15133346bb0
hexb97f8d0c

3112144140 has 192 divisors, whose sum is σ = 10516746240. Its totient is φ = 671742720.

The previous prime is 3112144097. The next prime is 3112144169. The reversal of 3112144140 is 414412113.

It is a super-2 number, since 2×31121441402 = 19370882296272679200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4556239 + ... + 4556921.

It is an arithmetic number, because the mean of its divisors is an integer number (54774720).

Almost surely, 23112144140 is an apocalyptic number.

3112144140 is a gapful number since it is divisible by the number (30) 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 3112144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258373120).

3112144140 is an abundant number, since it is smaller than the sum of its proper divisors (7404602100).

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

3112144140 is a wasteful number, since it uses less digits than its factorization.

3112144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

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

The square root of 3112144140 is about 55786.5946263079. The cubic root of 3112144140 is about 1460.0012729081.

Adding to 3112144140 its reverse (414412113), we get a palindrome (3526556253).

The spelling of 3112144140 in words is "three billion, one hundred twelve million, one hundred forty-four thousand, one hundred forty".