Search a number
-
+
4382136231 = 3111943316141
BaseRepresentation
bin1000001010011001…
…00001011110100111
3102022101202120210220
410011030201132213
532433311324411
62002500215423
7213410354244
oct40514413647
912271676726
104382136231
1119496688a0
12a2369a573
1354ab4a025
142d7dc85cb
151a9aaab06
hex1053217a7

4382136231 has 32 divisors (see below), whose sum is σ = 6725402880. Its totient is φ = 2510092800.

The previous prime is 4382136229. The next prime is 4382136233. The reversal of 4382136231 is 1326312834.

It is an interprime number because it is at equal distance from previous prime (4382136229) and next prime (4382136233).

It is not a de Polignac number, because 4382136231 - 21 = 4382136229 is a prime.

It is a super-2 number, since 2×43821362312 = 38406235894085770722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4382136192 and 4382136201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382136233) 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, 263421 + ... + 279561.

It is an arithmetic number, because the mean of its divisors is an integer number (210168840).

Almost surely, 24382136231 is an apocalyptic number.

4382136231 is a deficient number, since it is larger than the sum of its proper divisors (2343266649).

4382136231 is a wasteful number, since it uses less digits than its factorization.

4382136231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607.

The product of its digits is 20736, while the sum is 33.

The square root of 4382136231 is about 66197.7056324462. The cubic root of 4382136231 is about 1636.4219324032.

It can be divided in two parts, 438213 and 6231, that added together give a palindrome (444444).

The spelling of 4382136231 in words is "four billion, three hundred eighty-two million, one hundred thirty-six thousand, two hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 433 627 1299 4763 8227 14289 16141 24681 48423 90497 177551 271491 306679 532653 920037 3373469 6989053 10120407 20967159 76879583 132792007 230638749 398376021 1460712077 4382136231