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2004424240420 = 2257172588932531
BaseRepresentation
bin11101001010110000111…
…111101010110100100100
321002121202202211112212101
4131022300333222310210
5230320030101143140
64132453023501444
7264546333633130
oct35126077526444
97077682745771
102004424240420
11703087257128
12284579757884
1311702a033904
146d02c2b83c0
153721660399a
hex1d2b0fead24

2004424240420 has 96 divisors (see below), whose sum is σ = 5093949047040. Its totient is φ = 646760939520.

The previous prime is 2004424240373. The next prime is 2004424240433. The reversal of 2004424240420 is 240424244002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61599555 + ... + 61632085.

It is an arithmetic number, because the mean of its divisors is an integer number (53061969240).

Almost surely, 22004424240420 is an apocalyptic number.

2004424240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004424240420 is an abundant number, since it is smaller than the sum of its proper divisors (3089524806620).

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

2004424240420 is a wasteful number, since it uses less digits than its factorization.

2004424240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58453 (or 58451 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2004424240420 its reverse (240424244002), we get a palindrome (2244848484422).

It can be divided in two parts, 2004 and 424240420, that added together give a palindrome (424242424).

The spelling of 2004424240420 in words is "two trillion, four billion, four hundred twenty-four million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 25889 32531 51778 65062 103556 129445 130124 162655 181223 227717 258890 325310 362446 440113 455434 517780 553027 650620 724892 880226 906115 910868 1106054 1138585 1760452 1812230 2200565 2212108 2277170 2765135 3080791 3624460 3871189 4401130 4554340 5530270 6161582 7742378 8802260 11060540 12323164 15403955 15484756 19355945 30807910 38711890 61615820 77423780 842195059 1684390118 3368780236 4210975295 5895365413 8421950590 11790730826 14317316003 16843901180 23581461652 28634632006 29476827065 57269264012 58953654130 71586580015 100221212021 117907308260 143173160030 200442424042 286346320060 400884848084 501106060105 1002212120210 2004424240420