Search a number
-
+
1040055241224 = 233175965965563
BaseRepresentation
bin11110010001010000001…
…11111000101000001000
310200102120020102111200210
433020220013320220020
5114020013120204344
62113443401201120
7135066352453656
oct17105007705010
93612506374623
101040055241224
113710a308453a
121496a04901a0
13770cc91cccc
14384a60b3dd6
151c0c3010db9
hexf2281f8a08

1040055241224 has 128 divisors (see below), whose sum is σ = 2804041152000. Its totient is φ = 320269845504.

The previous prime is 1040055241223. The next prime is 1040055241321. The reversal of 1040055241224 is 4221425500401.

It is a junction number, because it is equal to n+sod(n) for n = 1040055241191 and 1040055241200.

It is not an unprimeable number, because it can be changed into a prime (1040055241223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15830667 + ... + 15896229.

It is an arithmetic number, because the mean of its divisors is an integer number (21906571500).

Almost surely, 21040055241224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040055241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402020576000).

1040055241224 is an abundant number, since it is smaller than the sum of its proper divisors (1763985910776).

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

1040055241224 is a wasteful number, since it uses less digits than its factorization.

1040055241224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66307 (or 66303 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 1040055241224 in words is "one trillion, forty billion, fifty-five million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 659 708 1003 1318 1416 1977 2006 2636 3009 3954 4012 5272 6018 7908 8024 11203 12036 15816 22406 24072 33609 38881 44812 65563 67218 77762 89624 116643 131126 134436 155524 196689 233286 262252 268872 311048 393378 466572 524504 660977 786756 933144 1114571 1321954 1573512 1982931 2229142 2643908 3343713 3868217 3965862 4458284 5287816 6687426 7736434 7931724 8916568 11604651 13374852 15472868 15863448 23209302 26749704 30945736 43206017 46418604 65759689 86412034 92837208 129618051 131519378 172824068 197279067 259236102 263038756 345648136 394558134 518472204 526077512 734502289 789116268 1036944408 1469004578 1578232536 2203506867 2549155003 2938009156 4407013734 5098310006 5876018312 7647465009 8814027468 10196620012 15294930018 17628054936 20393240024 30589860036 43335635051 61179720072 86671270102 130006905153 173342540204 260013810306 346685080408 520027620612 1040055241224