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4133420431 = 72292908811
BaseRepresentation
bin1111011001011110…
…1111110110001111
3101200001202111212121
43312113233312033
531431123423211
61522053313411
7204300331300
oct36627576617
911601674777
104133420431
111831231a48
12974335867
1350b46700a
142b2d647a7
15192d2c271
hexf65efd8f

4133420431 has 12 divisors (see below), whose sum is σ = 4974068520. Its totient is φ = 3420760560.

The previous prime is 4133420429. The next prime is 4133420461. The reversal of 4133420431 is 1340243314.

It is not a de Polignac number, because 4133420431 - 21 = 4133420429 is a prime.

It is a super-2 number, since 2×41334204312 = 34170328918816451522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4133420396 and 4133420405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133420411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452985 + ... + 1455826.

It is an arithmetic number, because the mean of its divisors is an integer number (414505710).

Almost surely, 24133420431 is an apocalyptic number.

4133420431 is a deficient number, since it is larger than the sum of its proper divisors (840648089).

4133420431 is a wasteful number, since it uses less digits than its factorization.

4133420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908854 (or 2908847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4133420431 is about 64291.6824402659. The cubic root of 4133420431 is about 1604.8576888148.

Adding to 4133420431 its reverse (1340243314), we get a palindrome (5473663745).

The spelling of 4133420431 in words is "four billion, one hundred thirty-three million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 29 49 203 1421 2908811 20361677 84355519 142531739 590488633 4133420431