Search a number
-
+
33414142430 = 2517213018887
BaseRepresentation
bin11111000111101000…
…110101100111011110
310012020200121022022202
4133013220311213132
51021413010024210
623203353011502
72262014344604
oct370750654736
9105220538282
1033414142430
1113197459849
1265863b3b92
1331c6800116
14188da57874
15d087269a5
hex7c7a359de

33414142430 has 48 divisors (see below), whose sum is σ = 63947844576. Its totient is φ = 12568358400.

The previous prime is 33414142429. The next prime is 33414142441. The reversal of 33414142430 is 3424141433.

It is a happy number.

It is a super-2 number, since 2×334141424302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33414142393 and 33414142402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755447 + ... + 3764333.

It is an arithmetic number, because the mean of its divisors is an integer number (1332246762).

Almost surely, 233414142430 is an apocalyptic number.

33414142430 is a deficient number, since it is larger than the sum of its proper divisors (30533702146).

33414142430 is a wasteful number, since it uses less digits than its factorization.

33414142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 33414142430 its reverse (3424141433), we get a palindrome (36838283863).

The spelling of 33414142430 in words is "thirty-three billion, four hundred fourteen million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 289 578 1301 1445 2602 2890 6505 8887 13010 17774 22117 44234 44435 88870 110585 151079 221170 302158 375989 751978 755395 1510790 1879945 2568343 3759890 5136686 11561987 12841715 23123974 25683430 57809935 115619870 196553779 393107558 982768895 1965537790 3341414243 6682828486 16707071215 33414142430