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2144131024 = 247223118907
BaseRepresentation
bin111111111001100…
…1101011111010000
312112102120010211011
41333303031133100
513342344143044
6552432100304
7104063545600
oct17763153720
95472503734
102144131024
11a00340412
124ba094694
1328229caa9
14164a96c00
15c8383134
hex7fccd7d0

2144131024 has 60 divisors (see below), whose sum is σ = 5042650464. Its totient is φ = 878953152.

The previous prime is 2144131013. The next prime is 2144131049. The reversal of 2144131024 is 4201314412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2144130986 and 2144131004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41422 + ... + 77485.

Almost surely, 22144131024 is an apocalyptic number.

It is an amenable number.

2144131024 is an abundant number, since it is smaller than the sum of its proper divisors (2898519440).

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

2144131024 is a wasteful number, since it uses less digits than its factorization.

2144131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118952 (or 118939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2144131024 is about 46304.7624332530. The cubic root of 2144131024 is about 1289.4874120758.

Adding to 2144131024 its reverse (4201314412), we get a palindrome (6345445436).

The spelling of 2144131024 in words is "two billion, one hundred forty-four million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 9016 18032 118907 237814 475628 832349 951256 1664698 1902512 2734861 3329396 5469722 5826443 6658792 10939444 11652886 13317584 19144027 21878888 23305772 38288054 43757776 46611544 76576108 93223088 134008189 153152216 268016378 306304432 536032756 1072065512 2144131024