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1242142440 = 23357114101
BaseRepresentation
bin100101000001001…
…1001011011101000
310012120022101002120
41022002121123220
510020442024230
6323131231240
742532015350
oct11202313350
93176271076
101242142440
11588180000
122a7ba8520
1316a45b236
14bad7db60
15740b2310
hex4a0996e8

1242142440 has 320 divisors, whose sum is σ = 4731004800. Its totient is φ = 255552000.

The previous prime is 1242142427. The next prime is 1242142453. The reversal of 1242142440 is 442412421.

It is an interprime number because it is at equal distance from previous prime (1242142427) and next prime (1242142453).

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 1242142440.

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 79 ways as a sum of consecutive naturals, for example, 12298390 + ... + 12298490.

It is an arithmetic number, because the mean of its divisors is an integer number (14784390).

Almost surely, 21242142440 is an apocalyptic number.

1242142440 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 1242142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365502400).

1242142440 is an abundant number, since it is smaller than the sum of its proper divisors (3488862360).

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

1242142440 is a wasteful number, since it uses less digits than its factorization.

1242142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1242142440 is about 35244.0411984778. The cubic root of 1242142440 is about 1074.9554522733.

Adding to 1242142440 its reverse (442412421), we get a palindrome (1684554861).

The spelling of 1242142440 in words is "one billion, two hundred forty-two million, one hundred forty-two thousand, four hundred forty".