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1361023214112 = 25324725775049
BaseRepresentation
bin10011110011100011010…
…011100010001000100000
311211010001001021220212100
4103303203103202020200
5134244333420322422
62521125002530400
7200221265303532
oct23634323421040
94733031256770
101361023214112
11485230139151
1219b937b06a00
139b46182bb63
1449c33cad852
152560b3e27ac
hex13ce34e2220

1361023214112 has 36 divisors (see below), whose sum is σ = 3870409765950. Its totient is φ = 453674404608.

The previous prime is 1361023214077. The next prime is 1361023214113. The reversal of 1361023214112 is 2114123201631.

1361023214112 is a `hidden beast` number, since 1 + 3 + 6 + 10 + 232 + 1 + 411 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1330340787216 + 30682426896 = 1153404^2 + 175164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1361023214113) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2362887237 + ... + 2362887812.

Almost surely, 21361023214112 is an apocalyptic number.

1361023214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1361023214112 is an abundant number, since it is smaller than the sum of its proper divisors (2509386551838).

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

1361023214112 is a wasteful number, since it uses less digits than its factorization.

1361023214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725775065 (or 4725775054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1361023214112 its reverse (2114123201631), we get a palindrome (3475146415743).

The spelling of 1361023214112 in words is "one trillion, three hundred sixty-one billion, twenty-three million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4725775049 9451550098 14177325147 18903100196 28354650294 37806200392 42531975441 56709300588 75612400784 85063950882 113418601176 151224801568 170127901764 226837202352 340255803528 453674404704 680511607056 1361023214112