Search a number
-
+
2144320441440 = 25354467334253
BaseRepresentation
bin11111001101000011011…
…101010100110001100000
321120222212101012220011220
4133031003131110301200
5240113032013111230
64321030500535040
7310631155005402
oct37150335246140
97528771186156
102144320441440
11757445a94591
122a77006b1480
13127293251b98
1475addc06b72
153aba316ed10
hex1f343754c60

2144320441440 has 48 divisors (see below), whose sum is σ = 6754609392048. Its totient is φ = 571818784256.

The previous prime is 2144320441429. The next prime is 2144320441477. The reversal of 2144320441440 is 441440234412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21443204414402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233666647 + ... + 2233667606.

It is an arithmetic number, because the mean of its divisors is an integer number (140721029001).

Almost surely, 22144320441440 is an apocalyptic number.

2144320441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144320441440 is an abundant number, since it is smaller than the sum of its proper divisors (4610288950608).

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

2144320441440 is a wasteful number, since it uses less digits than its factorization.

2144320441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467334271 (or 4467334263 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2144320441440 its reverse (441440234412), we get a palindrome (2585760675852).

The spelling of 2144320441440 in words is "two trillion, one hundred forty-four billion, three hundred twenty million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4467334253 8934668506 13402002759 17869337012 22336671265 26804005518 35738674024 44673342530 53608011036 67010013795 71477348048 89346685060 107216022072 134020027590 142954696096 178693370120 214432044144 268040055180 357386740240 428864088288 536080110360 714773480480 1072160220720 2144320441440