Search a number
-
+
234471316000 = 2553139421711
BaseRepresentation
bin1101101001011110010…
…1000101101000100000
3211102012201010222022211
43122113211011220200
512320144124103000
6255414210011504
722640263205365
oct3322745055040
9742181128284
10234471316000
1190490a44109
1239537b76b94
1319158b56a8c
14b4c42ca46c
1561748c27ba
hex3697945a20

234471316000 has 96 divisors (see below), whose sum is σ = 580241975040. Its totient is φ = 93113568000.

The previous prime is 234471315977. The next prime is 234471316021. The reversal of 234471316000 is 613174432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345145 + ... + 766855.

It is an arithmetic number, because the mean of its divisors is an integer number (6044187240).

Almost surely, 2234471316000 is an apocalyptic number.

234471316000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234471316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290120987520).

234471316000 is an abundant number, since it is smaller than the sum of its proper divisors (345770659040).

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

234471316000 is a wasteful number, since it uses less digits than its factorization.

234471316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421875 (or 421857 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 234471316000 in words is "two hundred thirty-four billion, four hundred seventy-one million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 695 800 1000 1112 1390 2000 2224 2780 3475 4000 4448 5560 6950 11120 13900 17375 22240 27800 34750 55600 69500 111200 139000 278000 421711 556000 843422 1686844 2108555 3373688 4217110 6747376 8434220 10542775 13494752 16868440 21085550 33736880 42171100 52713875 58617829 67473760 84342200 105427750 117235658 168684400 210855500 234471316 293089145 337368800 421711000 468942632 586178290 843422000 937885264 1172356580 1465445725 1686844000 1875770528 2344713160 2930891450 4689426320 5861782900 7327228625 9378852640 11723565800 14654457250 23447131600 29308914500 46894263200 58617829000 117235658000 234471316000