Search a number
-
+
1312414401303 = 33409261745413
BaseRepresentation
bin10011000110010001111…
…111101000001100010111
311122110120102020101022000
4103012101333220030113
5133000311041320203
62442525335210343
7163550565230235
oct23062177501427
94573512211260
101312414401303
11466656795685
12192430b169b3
13969b6073525
1447742239955
1524213c514a3
hex13191fe8317

1312414401303 has 32 divisors (see below), whose sum is σ = 1949859172800. Its totient is φ = 872450984448.

The previous prime is 1312414401271. The next prime is 1312414401341. The reversal of 1312414401303 is 3031044142131.

1312414401303 is a `hidden beast` number, since 1 + 312 + 4 + 1 + 4 + 40 + 1 + 303 = 666.

It is not a de Polignac number, because 1312414401303 - 25 = 1312414401271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312414401503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28876825 + ... + 28922237.

It is an arithmetic number, because the mean of its divisors is an integer number (60933099150).

Almost surely, 21312414401303 is an apocalyptic number.

1312414401303 is a deficient number, since it is larger than the sum of its proper divisors (637444771497).

1312414401303 is a wasteful number, since it uses less digits than its factorization.

1312414401303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48448 (or 48442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312414401303 its reverse (3031044142131), we get a palindrome (4343458543434).

The spelling of 1312414401303 in words is "one trillion, three hundred twelve billion, four hundred fourteen million, four hundred one thousand, three hundred three".

Divisors: 1 3 9 27 409 1227 2617 3681 7851 11043 23553 45413 70659 136239 408717 1070353 1226151 3211059 9633177 18573917 28899531 55721751 118845821 167165253 356537463 501495759 1069612389 3208837167 48607940789 145823822367 437471467101 1312414401303