Search a number
-
+
321433214432 = 25115039181219
BaseRepresentation
bin1001010110101101110…
…10011001110111100000
31010201200020022010120212
410223112322121313200
520231243400330212
6403355301153252
732136262146101
oct4532672316740
91121606263525
10321433214432
11114356740560
12523673bb828
1324407414105
14117b39043a8
158564180e22
hex4ad6e99de0

321433214432 has 48 divisors (see below), whose sum is σ = 690491692800. Its totient is φ = 146076205440.

The previous prime is 321433214411. The next prime is 321433214437. The reversal of 321433214432 is 234412334123.

It is a super-2 number, since 2×3214332144322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321433214437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683119 + ... + 1864337.

It is an arithmetic number, because the mean of its divisors is an integer number (14385243600).

Almost surely, 2321433214432 is an apocalyptic number.

321433214432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321433214432 is an abundant number, since it is smaller than the sum of its proper divisors (369058478368).

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

321433214432 is a wasteful number, since it uses less digits than its factorization.

321433214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186279 (or 186271 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 321433214432 its reverse (234412334123), we get a palindrome (555845548555).

The spelling of 321433214432 in words is "three hundred twenty-one billion, four hundred thirty-three million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 5039 10078 20156 40312 55429 80624 110858 161248 181219 221716 362438 443432 724876 886864 1449752 1773728 1993409 2899504 3986818 5799008 7973636 15947272 31894544 63789088 913162541 1826325082 3652650164 7305300328 10044787951 14610600656 20089575902 29221201312 40179151804 80358303608 160716607216 321433214432