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1312411424 = 25172191743
BaseRepresentation
bin100111000111001…
…1100111100100000
310101110112102000112
41032032130330200
510141434131144
6334121310452
744344212242
oct11616347440
93343472015
101312411424
11613905145
12307635428
1317bb9230c
14c6432092
157a34299e
hex4e39cf20

1312411424 has 72 divisors (see below), whose sum is σ = 2762823168. Its totient is φ = 613544960.

The previous prime is 1312411403. The next prime is 1312411459. The reversal of 1312411424 is 4241142131.

It is a self number, because there is not a number n which added to its sum of digits gives 1312411424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1765997 + ... + 1766739.

It is an arithmetic number, because the mean of its divisors is an integer number (38372544).

Almost surely, 21312411424 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 1312411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381411584).

1312411424 is an abundant number, since it is smaller than the sum of its proper divisors (1450411744).

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

1312411424 is a wasteful number, since it uses less digits than its factorization.

1312411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 1312411424 is about 36227.2193799083. The cubic root of 1312411424 is about 1094.8551545584.

Adding to 1312411424 its reverse (4241142131), we get a palindrome (5553553555).

The spelling of 1312411424 in words is "one billion, three hundred twelve million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 289 382 544 578 743 764 1156 1486 1528 2312 2972 3056 3247 4624 5944 6112 6494 9248 11888 12631 12988 23776 25262 25976 50524 51952 55199 101048 103904 110398 141913 202096 214727 220796 283826 404192 429454 441592 567652 858908 883184 1135304 1717816 1766368 2270608 2412521 3435632 4541216 4825042 6871264 9650084 19300168 38600336 41012857 77200672 82025714 164051428 328102856 656205712 1312411424