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1013234144 = 251313991741
BaseRepresentation
bin111100011001001…
…011100111100000
32121121120121221112
4330121023213200
54033341443034
6244313042452
734052230256
oct7431134740
92547517845
101013234144
1147aa4289a
122433b6428
13131bc1b40
14987d45d6
155de477ce
hex3c64b9e0

1013234144 has 48 divisors (see below), whose sum is σ = 2151021600. Its totient is φ = 467043840.

The previous prime is 1013234137. The next prime is 1013234149. The reversal of 1013234144 is 4414323101.

1013234144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013234149) 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, 581114 + ... + 582854.

It is an arithmetic number, because the mean of its divisors is an integer number (44812950).

Almost surely, 21013234144 is an apocalyptic number.

It is an amenable number.

1013234144 is an abundant number, since it is smaller than the sum of its proper divisors (1137787456).

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

1013234144 is a wasteful number, since it uses less digits than its factorization.

1013234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1013234144 is about 31831.3390230446. The cubic root of 1013234144 is about 1004.3920628757.

Adding to 1013234144 its reverse (4414323101), we get a palindrome (5427557245).

The spelling of 1013234144 in words is "one billion, thirteen million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1399 1741 2798 3482 5596 6964 11192 13928 18187 22384 22633 27856 36374 44768 45266 55712 72748 90532 145496 181064 290992 362128 581984 724256 2435659 4871318 9742636 19485272 31663567 38970544 63327134 77941088 126654268 253308536 506617072 1013234144