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13430433302244 = 2232727613624321
BaseRepresentation
bin1100001101110000010000…
…1101001100011011100100
31202112221021222200211120200
43003130010031030123210
53230021011411132434
644321504512030500
72554213441324200
oct303340415143344
952487258624520
1013430433302244
1143088a6517552
12160aaa8b32430
1376563b3901ba
14346071dc5b00
15184552c4a199
hexc370434c6e4

13430433302244 has 54 divisors (see below), whose sum is σ = 39491869358214. Its totient is φ = 3837266657280.

The previous prime is 13430433302243. The next prime is 13430433302347. The reversal of 13430433302244 is 44220333403431.

13430433302244 is a `hidden beast` number, since 1 + 3 + 4 + 304 + 3 + 3 + 302 + 2 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10128624502500 + 3301808799744 = 3182550^2 + 1817088^2 .

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 = 13430433302199 and 13430433302208.

It is not an unprimeable number, because it can be changed into a prime (13430433302243) 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 17 ways as a sum of consecutive naturals, for example, 3806810397 + ... + 3806813924.

It is an arithmetic number, because the mean of its divisors is an integer number (731330914041).

Almost surely, 213430433302244 is an apocalyptic number.

13430433302244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13430433302244 is an abundant number, since it is smaller than the sum of its proper divisors (26061436055970).

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

13430433302244 is a wasteful number, since it uses less digits than its factorization.

13430433302244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613624345 (or 7613624333 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 13430433302244 its reverse (44220333403431), we get a palindrome (57650766705675).

The spelling of 13430433302244 in words is "thirteen trillion, four hundred thirty billion, four hundred thirty-three million, three hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7613624321 15227248642 22840872963 30454497284 45681745926 53295370247 68522618889 91363491852 106590740494 137045237778 159886110741 213181480988 274090475556 319772221482 373067591729 479658332223 639544442964 746135183458 959316664446 1119202775187 1492270366916 1918633328892 2238405550374 3357608325561 4476811100748 6715216651122 13430433302244