Search a number
-
+
431340322230224 = 241123389273923917
BaseRepresentation
bin110001000010011010011111…
…0101011110000111111010000
32002120020201202200200212010022
41202010310332223300333100
5423014034434442331344
64125215001455123012
7156566211201321611
oct14204647653607720
92076221680625108
10431340322230224
11115490448975250
1240464789213468
131568b2aa819054
147872da9469c08
1534d0241c650ee
hex1884d3eaf0fd0

431340322230224 has 80 divisors (see below), whose sum is σ = 953781168562560. Its totient is φ = 187057163758080.

The previous prime is 431340322230203. The next prime is 431340322230269. The reversal of 431340322230224 is 422032223043134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135387287 + ... + 138536630.

It is an arithmetic number, because the mean of its divisors is an integer number (11922264607032).

Almost surely, 2431340322230224 is an apocalyptic number.

431340322230224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431340322230224 is an abundant number, since it is smaller than the sum of its proper divisors (522440846332336).

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

431340322230224 is a wasteful number, since it uses less digits than its factorization.

431340322230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273924348 (or 273924342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 431340322230224 its reverse (422032223043134), we get a palindrome (853372545273358).

The spelling of 431340322230224 in words is "four hundred thirty-one trillion, three hundred forty billion, three hundred twenty-two million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 389 506 778 1012 1556 2024 3112 4048 4279 6224 8558 8947 17116 17894 34232 35788 68464 71576 98417 143152 196834 393668 787336 1574672 273923917 547847834 1095695668 2191391336 3013163087 4382782672 6026326174 6300250091 12052652348 12600500182 24105304696 25201000364 48210609392 50402000728 69302751001 100804001456 106556403713 138605502002 213112807426 277211004004 426225614852 554422008008 852451229704 1108844016016 1172120440843 1704902459408 2344240881686 2450797285399 4688481763372 4901594570798 9376963526744 9803189141596 18753927053488 19606378283192 26958770139389 39212756566384 53917540278778 107835080557556 215670161115112 431340322230224