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1234142312 = 2313414353127
BaseRepresentation
bin100100110001111…
…1000010001101000
310012000020220222112
41021203320101220
510011420023222
6322243541452
742404015354
oct11143702150
93160226875
101234142312
11583706427
122a538a888
131688b9a30
14b9c9a464
1573531be2
hex498f8468

1234142312 has 128 divisors (see below), whose sum is σ = 2682408960. Its totient is φ = 528353280.

The previous prime is 1234142311. The next prime is 1234142323. The reversal of 1234142312 is 2132414321.

It is not an unprimeable number, because it can be changed into a prime (1234142311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9717593 + ... + 9717719.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 21234142312 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 1234142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

1234142312 is an abundant number, since it is smaller than the sum of its proper divisors (1448266648).

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

1234142312 is a wasteful number, since it uses less digits than its factorization.

1234142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

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

The square root of 1234142312 is about 35130.3616833075. The cubic root of 1234142312 is about 1072.6426981611.

Adding to 1234142312 its reverse (2132414321), we get a palindrome (3366556633).

The spelling of 1234142312 in words is "one billion, two hundred thirty-four million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 41 43 52 53 82 86 104 106 127 164 172 212 254 328 344 424 508 533 559 689 1016 1066 1118 1378 1651 1763 2132 2173 2236 2279 2756 3302 3526 4264 4346 4472 4558 5207 5461 5512 6604 6731 7052 8692 9116 10414 10922 13208 13462 14104 17384 18232 20828 21844 22919 26924 28249 29627 41656 43688 45838 53848 56498 59254 67691 70993 87503 91676 93439 112996 118508 135382 141986 175006 183352 186878 223901 225992 237016 270764 275971 283972 289433 350012 373756 447802 541528 551942 567944 578866 700024 747512 895604 1103884 1157732 1214707 1791208 2207768 2315464 2429414 2910713 3587623 3762629 4858828 5821426 7175246 7525258 9717656 11642852 11866753 14350492 15050516 23285704 23733506 28700984 30101032 47467012 94934024 154267789 308535578 617071156 1234142312