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1242140144 = 24756319699
BaseRepresentation
bin100101000001001…
…1000110111110000
310012120022020221112
41022002120313300
510020441441034
6323131212452
742532005560
oct11202306760
93176266845
101242140144
11588179303
122a7ba7128
1316a45a18b
14bad7cda0
15740b17ce
hex4a098df0

1242140144 has 40 divisors (see below), whose sum is σ = 2755478400. Its totient is φ = 531373248.

The previous prime is 1242140131. The next prime is 1242140161. The reversal of 1242140144 is 4410412421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53207 + ... + 72905.

It is an arithmetic number, because the mean of its divisors is an integer number (68886960).

Almost surely, 21242140144 is an apocalyptic number.

1242140144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1242140144 is an abundant number, since it is smaller than the sum of its proper divisors (1513338256).

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

1242140144 is a wasteful number, since it uses less digits than its factorization.

1242140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1242140144 is about 35244.0086255806. The cubic root of 1242140144 is about 1074.9547899501.

Adding to 1242140144 its reverse (4410412421), we get a palindrome (5652552565).

The spelling of 1242140144 in words is "one billion, two hundred forty-two million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 563 1126 2252 3941 4504 7882 9008 15764 19699 31528 39398 63056 78796 137893 157592 275786 315184 551572 1103144 2206288 11090537 22181074 44362148 77633759 88724296 155267518 177448592 310535036 621070072 1242140144