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402144213144 = 23349134126291
BaseRepresentation
bin1011101101000011010…
…10011011100010011000
31102110000010021200110110
411312201222123202120
523042042404310034
6504424214044320
741024336261202
oct5664152334230
91373003250413
10402144213144
11145603a19483
1265b313496a0
132bbca93960b
141566cc7b772
15a6d9c95de9
hex5da1a9b898

402144213144 has 32 divisors (see below), whose sum is σ = 1007408139840. Its totient is φ = 133775056800.

The previous prime is 402144213137. The next prime is 402144213179. The reversal of 402144213144 is 441312441204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17051362 + ... + 17074929.

It is an arithmetic number, because the mean of its divisors is an integer number (31481504370).

Almost surely, 2402144213144 is an apocalyptic number.

It is an amenable number.

402144213144 is an abundant number, since it is smaller than the sum of its proper divisors (605263926696).

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

402144213144 is a wasteful number, since it uses less digits than its factorization.

402144213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34126791 (or 34126787 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 402144213144 its reverse (441312441204), we get a palindrome (843456654348).

The spelling of 402144213144 in words is "four hundred two billion, one hundred forty-four million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 491 982 1473 1964 2946 3928 5892 11784 34126291 68252582 102378873 136505164 204757746 273010328 409515492 819030984 16756008881 33512017762 50268026643 67024035524 100536053286 134048071048 201072106572 402144213144