Search a number
-
+
1022241553440 = 253553277145063
BaseRepresentation
bin11101110000000100101…
…10000011110000100000
310121201120202211101222120
432320002112003300200
5113222022314202230
62101340012104240
7133566045560112
oct16700226036040
93551522741876
101022241553440
11364591786218
1214614a765080
1375521193753
14376963053b2
151b8ce1ab310
hexee02583c20

1022241553440 has 192 divisors, whose sum is σ = 3292683561216. Its totient is φ = 266487017472.

The previous prime is 1022241553397. The next prime is 1022241553481. The reversal of 1022241553440 is 443551422201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6974349 + ... + 7119411.

It is an arithmetic number, because the mean of its divisors is an integer number (17149393548).

Almost surely, 21022241553440 is an apocalyptic number.

1022241553440 is a gapful number since it is divisible by the number (10) 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 1022241553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646341780608).

1022241553440 is an abundant number, since it is smaller than the sum of its proper divisors (2270442007776).

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

1022241553440 is a wasteful number, since it uses less digits than its factorization.

1022241553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145411 (or 145403 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1022241553440 its reverse (443551422201), we get a palindrome (1465792975641).

The spelling of 1022241553440 in words is "one trillion, twenty-two billion, two hundred forty-one million, five hundred fifty-three thousand, four hundred forty".