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1241413440 = 263517294361
BaseRepresentation
bin100100111111110…
…0111011101000000
310012111221100002120
41021333213131000
510020300212230
6323103444240
742522561111
oct11177473500
93174840076
101241413440
11587822323
122a78b6680
1316a264487
14bac30208
1573ebb310
hex49fe7740

1241413440 has 448 divisors, whose sum is σ = 4490069760. Its totient is φ = 289013760.

The previous prime is 1241413429. The next prime is 1241413451. The reversal of 1241413440 is 443141421.

It is an interprime number because it is at equal distance from previous prime (1241413429) and next prime (1241413451).

It is a super-2 number, since 2×12414134402 = 3082214658025267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1241413440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20351010 + ... + 20351070.

Almost surely, 21241413440 is an apocalyptic number.

1241413440 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 1241413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245034880).

1241413440 is an abundant number, since it is smaller than the sum of its proper divisors (3248656320).

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

1241413440 is a wasteful number, since it uses less digits than its factorization.

1241413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1241413440 is about 35233.6975067903. The cubic root of 1241413440 is about 1074.7451178669.

Adding to 1241413440 its reverse (443141421), we get a palindrome (1684554861).

The spelling of 1241413440 in words is "one billion, two hundred forty-one million, four hundred thirteen thousand, four hundred forty".