Search a number
-
+
312442422156852 = 223133085364915439
BaseRepresentation
bin100011100001010100010101…
…1100101011101111000110100
31111222021012111121100220200220
41013002220223211131320310
5311423024040033004402
63024302022304334340
7122545135326002151
oct10702505345357064
91458235447326626
10312442422156852
11906100a5a4aa89
122b0615270143b0
131054526a25aca0
145722418731228
15261c527610dbc
hex11c2a2b95de34

312442422156852 has 48 divisors (see below), whose sum is σ = 785137186417920. Its totient is φ = 96133012472448.

The previous prime is 312442422156847. The next prime is 312442422156853. The reversal of 312442422156852 is 258651224244213.

It is a junction number, because it is equal to n+sod(n) for n = 312442422156795 and 312442422156804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312442422156853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27644652 + ... + 37270787.

It is an arithmetic number, because the mean of its divisors is an integer number (16357024717040).

Almost surely, 2312442422156852 is an apocalyptic number.

It is an amenable number.

312442422156852 is an abundant number, since it is smaller than the sum of its proper divisors (472694764261068).

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

312442422156852 is a wasteful number, since it uses less digits than its factorization.

312442422156852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64946312 (or 64946310 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 51.

The spelling of 312442422156852 in words is "three hundred twelve trillion, four hundred forty-two billion, four hundred twenty-two million, one hundred fifty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 30853 61706 92559 123412 185118 370236 401089 802178 1203267 1604356 2406534 4813068 64915439 129830878 194746317 259661756 389492634 778985268 843900707 1687801414 2531702121 3375602828 5063404242 10126808484 2002836039467 4005672078934 6008508118401 8011344157868 12017016236802 24034032473604 26036868513071 52073737026142 78110605539213 104147474052284 156221211078426 312442422156852