Search a number
-
+
4020135431 = 132333194051
BaseRepresentation
bin1110111110011110…
…0110011000000111
3101101011121001001212
43233213212120013
531213123313211
61502525242035
7201423405314
oct35747463007
911334531055
104020135431
111783297284
1294240331b
134c0b51680
142a1cb5d0b
15187e0138b
hexef9e6607

4020135431 has 16 divisors (see below), whose sum is σ = 4520087040. Its totient is φ = 3547605600.

The previous prime is 4020135391. The next prime is 4020135437. The reversal of 4020135431 is 1345310204.

It is a cyclic number.

It is not a de Polignac number, because 4020135431 - 210 = 4020134407 is a prime.

It is a super-2 number, since 2×40201354312 = 32322977767163111522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4020135397 and 4020135406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020135437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990356 + ... + 994406.

It is an arithmetic number, because the mean of its divisors is an integer number (282505440).

Almost surely, 24020135431 is an apocalyptic number.

4020135431 is a deficient number, since it is larger than the sum of its proper divisors (499951609).

4020135431 is a wasteful number, since it uses less digits than its factorization.

4020135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4020135431 is about 63404.5379369647. The cubic root of 4020135431 is about 1590.0601787542.

Adding to 4020135431 its reverse (1345310204), we get a palindrome (5365445635).

The spelling of 4020135431 in words is "four billion, twenty million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 13 23 299 3319 4051 43147 52663 76337 93173 992381 1211249 13445269 174788497 309241187 4020135431