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1302444141444 = 223237977810917
BaseRepresentation
bin10010111100111111101…
…110000110101110000100
311121111211120102200222100
4102330333232012232010
5132314401200011234
62434200134032100
7163045531352235
oct22747756065604
94544746380870
101302444141444
114623aa8438a6
12190509aa8630
1395a87599994
144707801908c
1523d2d7ba399
hex12f3fb86b84

1302444141444 has 36 divisors (see below), whose sum is σ = 3381270154444. Its totient is φ = 422414315712.

The previous prime is 1302444141431. The next prime is 1302444141451. The reversal of 1302444141444 is 4441414442031.

1302444141444 is a `hidden beast` number, since 1 + 30 + 2 + 4 + 44 + 141 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 680377522500 + 622066618944 = 824850^2 + 788712^2 .

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

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 = 1302444141399 and 1302444141408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488904127 + ... + 488906790.

Almost surely, 21302444141444 is an apocalyptic number.

It is an amenable number.

1302444141444 is an abundant number, since it is smaller than the sum of its proper divisors (2078826013000).

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

1302444141444 is a wasteful number, since it uses less digits than its factorization.

1302444141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977810964 (or 977810959 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1302444141444 its reverse (4441414442031), we get a palindrome (5743858583475).

The spelling of 1302444141444 in words is "one trillion, three hundred two billion, four hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 977810917 1955621834 2933432751 3911243668 5866865502 8800298253 11733731004 17600596506 35201193012 36179003929 72358007858 108537011787 144716015716 217074023574 325611035361 434148047148 651222070722 1302444141444