Search a number
-
+
1242297987840 = 2832572133143127
BaseRepresentation
bin10010000100111110101…
…110101111001100000000
311101202120212211112011200
4102010332232233030000
5130323211241102330
62350412005141200
7155516205444600
oct22047656571400
94352525745150
101242297987840
11439945911438
121809230ba800
13901c0789590
14441add9cc00
15224ad2e7a60
hex1213ebaf300

1242297987840 has 2592 divisors, whose sum is σ = 5732327817216. Its totient is φ = 245806202880.

The previous prime is 1242297987829. The next prime is 1242297987851. The reversal of 1242297987840 is 487897922421.

1242297987840 is a `hidden beast` number, since 1 + 2 + 422 + 97 + 9 + 87 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1242297987829) and next prime (1242297987851).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9781873857 + ... + 9781873983.

Almost surely, 21242297987840 is an apocalyptic number.

1242297987840 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 1242297987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866163908608).

1242297987840 is an abundant number, since it is smaller than the sum of its proper divisors (4490029829376).

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

1242297987840 is a wasteful number, since it uses less digits than its factorization.

1242297987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1242297987840 in words is "one trillion, two hundred forty-two billion, two hundred ninety-seven million, nine hundred eighty-seven thousand, eight hundred forty".