Search a number
-
+
4123432302 = 2311731376247
BaseRepresentation
bin1111010111000110…
…1001010101101110
3101122100222001201220
43311301221111232
531421044313202
61521055244210
7204116411343
oct36561512556
911570861656
104123432302
11182662a7a0
12970b19666
1350937a992
142b18c47ca
15192007abc
hexf5c6956e

4123432302 has 64 divisors (see below), whose sum is σ = 9187858944. Its totient is φ = 1223216640.

The previous prime is 4123432273. The next prime is 4123432303. The reversal of 4123432302 is 2032343214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123432303) 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 31 ways as a sum of consecutive naturals, for example, 656943 + ... + 663189.

It is an arithmetic number, because the mean of its divisors is an integer number (143560296).

Almost surely, 24123432302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123432302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593929472).

4123432302 is an abundant number, since it is smaller than the sum of its proper divisors (5064426642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4123432302 is a wasteful number, since it uses less digits than its factorization.

4123432302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4123432302 is about 64213.9572211525. The cubic root of 4123432302 is about 1603.5639697532.

Adding to 4123432302 its reverse (2032343214), we get a palindrome (6155775516).

It can be divided in two parts, 41234 and 32302, that added together give a triangular number (73536 = T383).

The spelling of 4123432302 in words is "four billion, one hundred twenty-three million, four hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 137 146 219 274 411 438 803 822 1507 1606 2409 3014 4521 4818 6247 9042 10001 12494 18741 20002 30003 37482 60006 68717 110011 137434 206151 220022 330033 412302 456031 660066 855839 912062 1368093 1711678 2567517 2736186 5016341 5135034 9414229 10032682 15049023 18828458 28242687 30098046 56485374 62476247 124952494 187428741 374857482 687238717 1374477434 2061716151 4123432302