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413353142244 = 2232714531128899
BaseRepresentation
bin1100000001111011100…
…01000110011111100100
31110111221021212021112200
412000331301012133210
523233021401022434
6513520344214500
741602163510610
oct6007561063744
91414837767480
10413353142244
1114a336088849
126813b16a430
132cc95c26543
14160137b6340
15ab43d55199
hex603dc467e4

413353142244 has 72 divisors (see below), whose sum is σ = 1194954196800. Its totient is φ = 118019512512.

The previous prime is 413353142243. The next prime is 413353142309. The reversal of 413353142244 is 442241353314.

413353142244 is a `hidden beast` number, since 4 + 1 + 335 + 314 + 2 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413353142199 and 413353142208.

It is not an unprimeable number, because it can be changed into a prime (413353142243) 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 23 ways as a sum of consecutive naturals, for example, 198294 + ... + 930605.

Almost surely, 2413353142244 is an apocalyptic number.

It is an amenable number.

413353142244 is an abundant number, since it is smaller than the sum of its proper divisors (781601054556).

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

413353142244 is a wasteful number, since it uses less digits than its factorization.

413353142244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130369 (or 1130364 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 413353142244 its reverse (442241353314), we get a palindrome (855594495558).

The spelling of 413353142244 in words is "four hundred thirteen billion, three hundred fifty-three million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1453 2906 4359 5812 8718 10171 13077 17436 20342 26154 30513 40684 52308 61026 91539 122052 183078 366156 1128899 2257798 3386697 4515596 6773394 7902293 10160091 13546788 15804586 20320182 23706879 31609172 40640364 47413758 71120637 94827516 142241274 284482548 1640290247 3280580494 4920870741 6561160988 9841741482 11482031729 14762612223 19683482964 22964063458 29525224446 34446095187 45928126916 59050448892 68892190374 103338285561 137784380748 206676571122 413353142244