Search a number
-
+
4104454544000 = 2753256528409
BaseRepresentation
bin111011101110100100100…
…011100001101010000000
3112112101022111100022202222
4323232210203201222000
51014221410330402000
612421321013230212
7602352131661266
oct73564443415200
915471274308688
104104454544000
111342764650598
12563579632368
1323a082457915
14102929c36436
1571b76304a85
hex3bba48e1a80

4104454544000 has 64 divisors (see below), whose sum is σ = 10204700149800. Its totient is φ = 1641781811200.

The previous prime is 4104454543991. The next prime is 4104454544053. The reversal of 4104454544000 is 4454544014.

It can be written as a sum of positive squares in 4 ways, for example, as 707038812736 + 3397415731264 = 840856^2 + 1843208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128248205 + ... + 128280204.

Almost surely, 24104454544000 is an apocalyptic number.

4104454544000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4104454544000 is an abundant number, since it is smaller than the sum of its proper divisors (6100245605800).

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

4104454544000 is an equidigital number, since it uses as much as digits as its factorization.

4104454544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256528438 (or 256528416 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 4104454544000 in words is "four trillion, one hundred four billion, four hundred fifty-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 256528409 513056818 1026113636 1282642045 2052227272 2565284090 4104454544 5130568180 6413210225 8208909088 10261136360 12826420450 16417818176 20522272720 25652840900 32066051125 32835636352 41044545440 51305681800 64132102250 82089090880 102611363600 128264204500 164178181760 205222727200 256528409000 410445454400 513056818000 820890908800 1026113636000 2052227272000 4104454544000