Search a number
-
+
1225007630440 = 235112784108251
BaseRepresentation
bin10001110100111000001…
…001010000100001101000
311100002221212222100210021
4101310320021100201220
5130032303423133230
62334432152530224
7154334555024416
oct21647011204150
94302855870707
101225007630440
11432582964a70
121794b86b0974
138b696593379
144340d8da2b6
1521cea3b8c7a
hex11d38250868

1225007630440 has 32 divisors (see below), whose sum is σ = 3006836912160. Its totient is φ = 445457320000.

The previous prime is 1225007630419. The next prime is 1225007630501. The reversal of 1225007630440 is 440367005221.

It is a super-2 number, since 2×12250076304402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1225007630396 and 1225007630405.

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, 1392053686 + ... + 1392054565.

It is an arithmetic number, because the mean of its divisors is an integer number (93963653505).

Almost surely, 21225007630440 is an apocalyptic number.

1225007630440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225007630440 is an abundant number, since it is smaller than the sum of its proper divisors (1781829281720).

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

1225007630440 is a wasteful number, since it uses less digits than its factorization.

1225007630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784108273 (or 2784108269 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 1225007630440 in words is "one trillion, two hundred twenty-five billion, seven million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2784108251 5568216502 11136433004 13920541255 22272866008 27841082510 30625190761 55682165020 61250381522 111364330040 122500763044 153125953805 245001526088 306251907610 612503815220 1225007630440