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1242010144 = 25292116343
BaseRepresentation
bin100101000000111…
…1001001000100000
310012120001122121201
41022001321020200
510020423311034
6323124330544
742530624554
oct11201711040
93176048551
101242010144
1158809a671
122a7b43a54
1316a412c5b
14bad47864
1574088014
hex4a079220

1242010144 has 48 divisors (see below), whose sum is σ = 2541913920. Its totient is φ = 596655360.

The previous prime is 1242010141. The next prime is 1242010181. The reversal of 1242010144 is 4410102421.

It is not an unprimeable number, because it can be changed into a prime (1242010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192637 + ... + 198979.

It is an arithmetic number, because the mean of its divisors is an integer number (52956540).

Almost surely, 21242010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270956960).

1242010144 is an abundant number, since it is smaller than the sum of its proper divisors (1299903776).

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

1242010144 is a wasteful number, since it uses less digits than its factorization.

1242010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1242010144 is about 35242.1642922225. The cubic root of 1242010144 is about 1074.9172877411.

Adding to 1242010144 its reverse (4410102421), we get a palindrome (5652112565).

The spelling of 1242010144 in words is "one billion, two hundred forty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 211 232 422 464 844 928 1688 3376 6119 6343 6752 12238 12686 24476 25372 48952 50744 97904 101488 183947 195808 202976 367894 735788 1338373 1471576 2676746 2943152 5353492 5886304 10706984 21413968 38812817 42827936 77625634 155251268 310502536 621005072 1242010144