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4004460046020 = 2235741232547041
BaseRepresentation
bin111010010001011100011…
…010110010011011000100
3112011211012201001111212210
4322101130122302123010
51011102113232433040
612303342404143420
7562212152526540
oct72213432623304
915154181044783
104004460046020
111304311333215
12548111697b70
13230807b23615
14dbb61808a20
156e272805480
hex3a45c6b26c4

4004460046020 has 96 divisors (see below), whose sum is σ = 13126815426816. Its totient is φ = 892980633600.

The previous prime is 4004460045991. The next prime is 4004460046021. The reversal of 4004460046020 is 206400644004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4004460046021) 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, 116256301 + ... + 116290740.

It is an arithmetic number, because the mean of its divisors is an integer number (136737660696).

Almost surely, 24004460046020 is an apocalyptic number.

It is an amenable number.

4004460046020 is an abundant number, since it is smaller than the sum of its proper divisors (9122355380796).

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

4004460046020 is a wasteful number, since it uses less digits than its factorization.

4004460046020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232547101 (or 232547099 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 4004460046020 in words is "four trillion, four billion, four hundred sixty million, forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 232547041 465094082 697641123 930188164 1162735205 1395282246 1627829287 2325470410 2790564492 3255658574 3488205615 4650940820 4883487861 6511317148 6976411230 8139146435 9534428681 9766975722 13952822460 16278292870 19068857362 19533951444 24417439305 28603286043 32556585740 38137714724 47672143405 48834878610 57206572086 66741000767 95344286810 97669757220 114413144172 133482001534 143016430215 190688573620 200223002301 266964003068 286032860430 333705003835 400446004602 572065720860 667410007670 800892009204 1001115011505 1334820015340 2002230023010 4004460046020