Search a number
-
+
1340134022024 = 237117140934993
BaseRepresentation
bin10011100000000110001…
…101100101101110001000
311202010010020121000101022
4103200012031211232020
5133424043302201044
62503352111012012
7165551525144060
oct23400615455610
94663106530338
101340134022024
11477390799a36
1219788820a008
13994b2b73075
1448c118823a0
1524cd75823ee
hex13806365b88

1340134022024 has 64 divisors (see below), whose sum is σ = 2875446119040. Its totient is φ = 573597573120.

The previous prime is 1340134021999. The next prime is 1340134022047. The reversal of 1340134022024 is 4202204310431.

It is a junction number, because it is equal to n+sod(n) for n = 1340134021984 and 1340134022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268400072 + ... + 268405064.

It is an arithmetic number, because the mean of its divisors is an integer number (44928845610).

Almost surely, 21340134022024 is an apocalyptic number.

1340134022024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1340134022024 is an abundant number, since it is smaller than the sum of its proper divisors (1535312097016).

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

1340134022024 is a wasteful number, since it uses less digits than its factorization.

1340134022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1340134022024 its reverse (4202204310431), we get a palindrome (5542338332455).

The spelling of 1340134022024 in words is "one trillion, three hundred forty billion, one hundred thirty-four million, twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 1171 2342 4093 4684 4993 8186 8197 9368 9986 16372 16394 19972 28651 32744 32788 34951 39944 57302 65576 69902 114604 139804 229208 279608 4792903 5846803 9585806 11693606 19171612 20436349 23387212 33550321 38343224 40872698 40927621 46774424 67100642 81745396 81855242 134201284 143054443 163490792 163710484 268402568 286108886 327420968 572217772 1144435544 23930964679 47861929358 95723858716 167516752753 191447717432 335033505506 670067011012 1340134022024