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424440204122320 = 24515756133672689
BaseRepresentation
bin110000010000001101010111…
…1100110000101100011010000
32001122211002100121010201101221
41200200122233212011203100
5421113012014223403240
64102413045445134424
7155254535634166111
oct14040325746054320
92048732317121357
10424440204122320
11113270097103871
123b72b4316ba414
13152aa7023b9529
1476b503070c208
1534109e5220a4a
hex18206af9858d0

424440204122320 has 40 divisors (see below), whose sum is σ = 986829767011080. Its totient is φ = 169774999080960.

The previous prime is 424440204122269. The next prime is 424440204122351. The reversal of 424440204122320 is 23221402044424.

It can be written as a sum of positive squares in 4 ways, for example, as 1203066760336 + 423237137361984 = 1096844^2 + 20572728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4231465 + ... + 29441224.

It is an arithmetic number, because the mean of its divisors is an integer number (24670744175277).

Almost surely, 2424440204122320 is an apocalyptic number.

424440204122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424440204122320 is an abundant number, since it is smaller than the sum of its proper divisors (562389562888760).

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

424440204122320 is a wasteful number, since it uses less digits than its factorization.

424440204122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33830263 (or 33830257 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 424440204122320 its reverse (23221402044424), we get a palindrome (447661606166744).

The spelling of 424440204122320 in words is "four hundred twenty-four trillion, four hundred forty billion, two hundred four million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157561 315122 630244 787805 1260488 1575610 2520976 3151220 6302440 12604880 33672689 67345378 134690756 168363445 269381512 336726890 538763024 673453780 1346907560 2693815120 5305502551529 10611005103058 21222010206116 26527512757645 42444020412232 53055025515290 84888040824464 106110051030580 212220102061160 424440204122320