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314642023424521 = 13374117957888493
BaseRepresentation
bin100011110001010100100111…
…0000010011010001000001001
31112021001111001121012202020021
41013202221032002122020021
5312220043330444041041
63033104314453300441
7123163064441202262
oct10742511602321011
91467044047182207
10314642023424521
1191288a29582511
122b357895034721
1310674800324c20
14579aa8034b969
152659863a4ecd1
hex11e2a4e09a209

314642023424521 has 32 divisors (see below), whose sum is σ = 356511373430688. Its totient is φ = 275681013442560.

The previous prime is 314642023424497. The next prime is 314642023424579. The reversal of 314642023424521 is 125424320246413.

It can be written as a sum of positive squares in 16 ways, for example, as 421694384400 + 314220329040121 = 649380^2 + 17726261^2 .

It is a cyclic number.

It is not a de Polignac number, because 314642023424521 - 25 = 314642023424489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314642023434521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353685751 + ... + 354574243.

It is an arithmetic number, because the mean of its divisors is an integer number (11140980419709).

Almost surely, 2314642023424521 is an apocalyptic number.

It is an amenable number.

314642023424521 is a deficient number, since it is larger than the sum of its proper divisors (41869350006167).

314642023424521 is a wasteful number, since it uses less digits than its factorization.

314642023424521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906541.

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 314642023424521 in words is "three hundred fourteen trillion, six hundred forty-two billion, twenty-three million, four hundred twenty-four thousand, five hundred twenty-one".

Divisors: 1 13 37 41 481 533 1517 17957 19721 233441 664409 736237 888493 8637317 9571081 11550409 27240769 32874241 36428213 354129997 427365133 473566769 1347843881 15954668801 17521970453 207410694413 590322745637 654141420841 7674195693281 8503838470933 24203232571117 314642023424521