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253420234000 = 2453126710117
BaseRepresentation
bin1110110000000100000…
…1011110010100010000
3220020010021212202010121
43230001001132110100
513123001034442000
6312230351040024
724210663306313
oct3540101362420
9806107782117
10253420234000
119852512a71a
1241145b10014
131ab8884a7ab
14c3a0b6897a
1568d321bb1a
hex3b0105e510

253420234000 has 40 divisors (see below), whose sum is σ = 612770130648. Its totient is φ = 101368092800.

The previous prime is 253420233991. The next prime is 253420234027. The reversal of 253420234000 is 432024352.

It can be written as a sum of positive squares in 4 ways, for example, as 49611325696 + 203808908304 = 222736^2 + 451452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2534202340002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63353059 + ... + 63357058.

Almost surely, 2253420234000 is an apocalyptic number.

253420234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253420234000 is an abundant number, since it is smaller than the sum of its proper divisors (359349896648).

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

253420234000 is a wasteful number, since it uses less digits than its factorization.

253420234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126710140 (or 126710124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 253420234000 its reverse (432024352), we get a palindrome (253852258352).

The spelling of 253420234000 in words is "two hundred fifty-three billion, four hundred twenty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 126710117 253420234 506840468 633550585 1013680936 1267101170 2027361872 2534202340 3167752925 5068404680 6335505850 10136809360 12671011700 15838764625 25342023400 31677529250 50684046800 63355058500 126710117000 253420234000