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3140242432 = 2105951977
BaseRepresentation
bin1011101100101100…
…0100110000000000
322002211220211210021
42323023010300000
522412400224212
61235334143224
7140550422515
oct27313046000
98084824707
103140242432
111371648688
127377b1b14
133b0778022
1421b0b130c
15135a47307
hexbb2c4c00

3140242432 has 44 divisors (see below), whose sum is σ = 6383937960. Its totient is φ = 1543479296.

The previous prime is 3140242411. The next prime is 3140242451. The reversal of 3140242432 is 2342420413.

It is a happy number.

It is a super-2 number, since 2×31402424322 = 19722245063466549248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140242397 and 3140242406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34428 + ... + 86404.

Almost surely, 23140242432 is an apocalyptic number.

3140242432 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 3140242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191968980).

3140242432 is an abundant number, since it is smaller than the sum of its proper divisors (3243695528).

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

3140242432 is an equidigital number, since it uses as much as digits as its factorization.

3140242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52056 (or 52038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3140242432 is about 56037.8660550168. The cubic root of 3140242432 is about 1464.3820357254.

Adding to 3140242432 its reverse (2342420413), we get a palindrome (5482662845).

The spelling of 3140242432 in words is "three billion, one hundred forty million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 3776 7552 15104 30208 51977 60416 103954 207908 415816 831632 1663264 3066643 3326528 6133286 6653056 12266572 13306112 24533144 26612224 49066288 53224448 98132576 196265152 392530304 785060608 1570121216 3140242432