Search a number
-
+
3142044040 = 2351714593167
BaseRepresentation
bin1011101101000111…
…1100100110001000
322002222022101010111
42323101330212020
522413330402130
61235440524104
7140601635152
oct27321744610
98088271114
103142044040
111372669213
12738320634
133b0c59075
1421b41dad2
15135ca102a
hexbb47c988

3142044040 has 64 divisors (see below), whose sum is σ = 7492953600. Its totient is φ = 1181703168.

The previous prime is 3142043981. The next prime is 3142044043. The reversal of 3142044040 is 404402413.

3142044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3142044043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990537 + ... + 993703.

It is an arithmetic number, because the mean of its divisors is an integer number (117077400).

Almost surely, 23142044040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746476800).

3142044040 is an abundant number, since it is smaller than the sum of its proper divisors (4350909560).

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

3142044040 is a wasteful number, since it uses less digits than its factorization.

3142044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3142044040 is about 56053.9386662525. The cubic root of 3142044040 is about 1464.6620287593.

Adding to 3142044040 its reverse (404402413), we get a palindrome (3546446453).

The spelling of 3142044040 in words is "three billion, one hundred forty-two million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1459 2918 3167 5836 6334 7295 11672 12668 14590 15835 24803 25336 29180 31670 49606 53839 58360 63340 99212 107678 124015 126680 198424 215356 248030 269195 430712 496060 538390 992120 1076780 2153560 4620653 9241306 18482612 23103265 36965224 46206530 78551101 92413060 157102202 184826120 314204404 392755505 628408808 785511010 1571022020 3142044040