Search a number
-
+
33440442244104 = 2337719276843187
BaseRepresentation
bin1111001101001111101011…
…01011100101110000001000
311101101212121220202021021210
413212213311223211300020
513340342011203302404
6155042154352333120
710020664222062450
oct746476553456010
9141355556667253
1033440442244104
11a723014946765
123900b945441a0
13158756017242c
14838751652d60
153cece1658689
hex1e69f5ae5c08

33440442244104 has 64 divisors (see below), whose sum is σ = 95677005772800. Its totient is φ = 9541123562304.

The previous prime is 33440442244049. The next prime is 33440442244207. The reversal of 33440442244104 is 40144224404433.

It is a happy number.

It is a super-2 number, since 2×334404422441042 (a number of 28 digits) contains 22 as substring.

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, 138300802 + ... + 138542385.

It is an arithmetic number, because the mean of its divisors is an integer number (1494953215200).

Almost surely, 233440442244104 is an apocalyptic number.

It is an amenable number.

33440442244104 is an abundant number, since it is smaller than the sum of its proper divisors (62236563528696).

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

33440442244104 is a wasteful number, since it uses less digits than its factorization.

33440442244104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276843922 (or 276843918 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 33440442244104 its reverse (40144224404433), we get a palindrome (73584666648537).

The spelling of 33440442244104 in words is "thirty-three trillion, four hundred forty billion, four hundred forty-two million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 719 1438 2157 2876 4314 5033 5752 8628 10066 15099 17256 20132 30198 40264 60396 120792 276843187 553686374 830529561 1107372748 1661059122 1937902309 2214745496 3322118244 3875804618 5813706927 6644236488 7751609236 11627413854 15503218472 23254827708 46509655416 199050251453 398100502906 597150754359 796201005812 1194301508718 1393351760171 1592402011624 2388603017436 2786703520342 4180055280513 4777206034872 5573407040684 8360110561026 11146814081368 16720221122052 33440442244104