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2131404144 = 243831912801
BaseRepresentation
bin111111100001010…
…1010010101110000
312111112121112211020
41333002222111300
513331114413034
6551255215440
7103550431152
oct17702522560
95445545736
102131404144
119a4138531
124b5977580
1327c764cac
14163102ad2
15c71bc249
hex7f0aa570

2131404144 has 80 divisors (see below), whose sum is σ = 5603641344. Its totient is φ = 697984000.

The previous prime is 2131404139. The next prime is 2131404157. The reversal of 2131404144 is 4414041312.

2131404144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759544 + ... + 762344.

Almost surely, 22131404144 is an apocalyptic number.

2131404144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801820672).

2131404144 is an abundant number, since it is smaller than the sum of its proper divisors (3472237200).

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

2131404144 is a wasteful number, since it uses less digits than its factorization.

2131404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2131404144 is about 46167.1327244827. The cubic root of 2131404144 is about 1286.9310183153.

Adding to 2131404144 its reverse (4414041312), we get a palindrome (6545445456).

The spelling of 2131404144 in words is "two billion, one hundred thirty-one million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 191 249 332 382 498 573 664 764 996 1146 1328 1528 1992 2292 2801 3056 3984 4584 5602 8403 9168 11204 15853 16806 22408 31706 33612 44816 47559 63412 67224 95118 126824 134448 190236 232483 253648 380472 464966 534991 697449 760944 929932 1069982 1394898 1604973 1859864 2139964 2789796 3209946 3719728 4279928 5579592 6419892 8559856 11159184 12839784 25679568 44404253 88808506 133212759 177617012 266425518 355234024 532851036 710468048 1065702072 2131404144