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3140122432 = 26314138603
BaseRepresentation
bin1011101100101010…
…0111011101000000
322002211200202011211
42323022213131000
522412332404212
61235331415504
7140546412616
oct27312473500
98084622154
103140122432
111371576507
12737754594
133b0735515
1421b07d6b6
15135a219a7
hexbb2a7740

3140122432 has 56 divisors (see below), whose sum is σ = 6589239552. Its totient is φ = 1482316800.

The previous prime is 3140122393. The next prime is 3140122459. The reversal of 3140122432 is 2342210413.

3140122432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62043 + ... + 100645.

It is an arithmetic number, because the mean of its divisors is an integer number (117664992).

Almost surely, 23140122432 is an apocalyptic number.

3140122432 is a gapful number since it is divisible by the number (32) 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 3140122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294619776).

3140122432 is an abundant number, since it is smaller than the sum of its proper divisors (3449117120).

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

3140122432 is a wasteful number, since it uses less digits than its factorization.

3140122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38687 (or 38677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3140122432 is about 56036.7953402048. The cubic root of 3140122432 is about 1464.3633823797.

Adding to 3140122432 its reverse (2342210413), we get a palindrome (5482332845).

The spelling of 3140122432 in words is "three billion, one hundred forty million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2542 2624 5084 10168 20336 38603 40672 77206 81344 154412 308824 617648 1196693 1235296 1582723 2393386 2470592 3165446 4786772 6330892 9573544 12661784 19147088 25323568 38294176 49064413 50647136 76588352 98128826 101294272 196257652 392515304 785030608 1570061216 3140122432