Search a number
-
+
1312734666240 = 2932567850393
BaseRepresentation
bin10011000110100101000…
…101010101111000000000
311122111101201212112012100
4103012211011111320000
5133001440033304430
62443021215430400
7163561534361244
oct23064505257000
94574351775170
101312734666240
11466800550448
12192500225400
1396a375181ca
14477729a6424
1524231e14960
hex131a5155e00

1312734666240 has 240 divisors, whose sum is σ = 4614231040848. Its totient is φ = 344837357568.

The previous prime is 1312734666227. The next prime is 1312734666251. The reversal of 1312734666240 is 426664372131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118484 + ... + 1968876.

Almost surely, 21312734666240 is an apocalyptic number.

1312734666240 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 1312734666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307115520424).

1312734666240 is an abundant number, since it is smaller than the sum of its proper divisors (3301496374608).

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

1312734666240 is an equidigital number, since it uses as much as digits as its factorization.

1312734666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850489 (or 850470 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1312734666240 in words is "one trillion, three hundred twelve billion, seven hundred thirty-four million, six hundred sixty-six thousand, two hundred forty".