Search a number
-
+
3142414401 = 3711310211297
BaseRepresentation
bin1011101101001101…
…0111000001000001
322010000000012011120
42323103113001001
522413424230101
61235452502453
7140605040010
oct27323270101
98100005146
103142414401
1113728a14a5
1273847aa29
133b1058809
1421b4b8a77
15135d25b36
hexbb4d7041

3142414401 has 32 divisors (see below), whose sum is σ = 4839276288. Its totient is φ = 1776660480.

The previous prime is 3142414367. The next prime is 3142414421. The reversal of 3142414401 is 1044142413.

It is not a de Polignac number, because 3142414401 - 210 = 3142413377 is a prime.

It is a super-2 number, since 2×31424144012 = 19749536535224377602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142414421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422185 + ... + 2423481.

It is an arithmetic number, because the mean of its divisors is an integer number (151227384).

Almost surely, 23142414401 is an apocalyptic number.

It is an amenable number.

3142414401 is a deficient number, since it is larger than the sum of its proper divisors (1696861887).

3142414401 is a wasteful number, since it uses less digits than its factorization.

3142414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3142414401 is about 56057.2421815415. The cubic root of 3142414401 is about 1464.7195743543.

Adding to 3142414401 its reverse (1044142413), we get a palindrome (4186556814).

The spelling of 3142414401 in words is "three billion, one hundred forty-two million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 7 21 113 339 791 1021 1297 2373 3063 3891 7147 9079 21441 27237 115373 146561 346119 439683 807611 1025927 1324237 2422833 3077781 3972711 9269659 27808977 149638781 448916343 1047471467 3142414401