Search a number
-
+
245420300000 = 255515116253
BaseRepresentation
bin1110010010010000110…
…0001001011011100000
3212110110202120222202202
43210210030021123200
513010110044100000
6304424452432332
723505513062501
oct3444414113340
9773422528682
10245420300000
119509a3a7917
123b6929186a8
131a1b232b735
14bc424baba8
1565b5c35dd5
hex39243096e0

245420300000 has 144 divisors (see below), whose sum is σ = 607962275424. Its totient is φ = 97512000000.

The previous prime is 245420299951. The next prime is 245420300009. The reversal of 245420300000 is 3024542.

It is a super-2 number, since 2×2454203000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245420300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15091874 + ... + 15108126.

It is an arithmetic number, because the mean of its divisors is an integer number (4221960246).

Almost surely, 2245420300000 is an apocalyptic number.

245420300000 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 245420300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303981137712).

245420300000 is an abundant number, since it is smaller than the sum of its proper divisors (362541975424).

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

245420300000 is an equidigital number, since it uses as much as digits as its factorization.

245420300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16439 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 245420300000 its reverse (3024542), we get a palindrome (245423324542).

The spelling of 245420300000 in words is "two hundred forty-five billion, four hundred twenty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 151 160 200 250 302 400 500 604 625 755 800 1000 1208 1250 1510 2000 2416 2500 3020 3125 3775 4000 4832 5000 6040 6250 7550 10000 12080 12500 15100 16253 18875 20000 24160 25000 30200 32506 37750 50000 60400 65012 75500 81265 94375 100000 120800 130024 151000 162530 188750 260048 302000 325060 377500 406325 471875 520096 604000 650120 755000 812650 943750 1300240 1510000 1625300 1887500 2031625 2454203 2600480 3020000 3250600 3775000 4063250 4908406 6501200 7550000 8126500 9816812 10158125 12271015 13002400 15100000 16253000 19633624 20316250 24542030 32506000 39267248 40632500 49084060 50790625 61355075 65012000 78534496 81265000 98168120 101581250 122710150 162530000 196336240 203162500 245420300 306775375 325060000 392672480 406325000 490840600 613550750 812650000 981681200 1227101500 1533876875 1625300000 1963362400 2454203000 3067753750 4908406000 6135507500 7669384375 9816812000 12271015000 15338768750 24542030000 30677537500 49084060000 61355075000 122710150000 245420300000