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1312350040 = 235374991777
BaseRepresentation
bin100111000111000…
…1101111101011000
310101110102021211001
41032032031331120
510141430200130
6334120114344
744343535261
oct11616157530
93343367731
101312350040
11613873011
123076059b4
1317bb703b1
14c6417968
157a32e6ca
hex4e38df58

1312350040 has 64 divisors (see below), whose sum is σ = 3040380000. Its totient is φ = 509442048.

The previous prime is 1312350029. The next prime is 1312350047. The reversal of 1312350040 is 400532131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312350047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737632 + ... + 739408.

Almost surely, 21312350040 is an apocalyptic number.

1312350040 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 1312350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520190000).

1312350040 is an abundant number, since it is smaller than the sum of its proper divisors (1728029960).

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

1312350040 is a wasteful number, since it uses less digits than its factorization.

1312350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1312350040 is about 36226.3721617277. The cubic root of 1312350040 is about 1094.8380848003.

Adding to 1312350040 its reverse (400532131), we get a palindrome (1712882171).

The spelling of 1312350040 in words is "one billion, three hundred twelve million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 499 740 998 1480 1777 1996 2495 3554 3992 4990 7108 8885 9980 14216 17770 18463 19960 35540 36926 65749 71080 73852 92315 131498 147704 184630 262996 328745 369260 525992 657490 738520 886723 1314980 1773446 2629960 3546892 4433615 7093784 8867230 17734460 32808751 35468920 65617502 131235004 164043755 262470008 328087510 656175020 1312350040