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424420040440 = 23511287690091
BaseRepresentation
bin1100010110100010110…
…01111101111011111000
31111120111120011221212001
412023101121331323320
523423203012243230
6522550442230344
742443344551124
oct6132131757370
91446446157761
10424420040440
11153aa5059200
126a3094b53b4
133103a974906
14167834dc584
15b09070b0ca
hex62d167def8

424420040440 has 48 divisors (see below), whose sum is σ = 1049650401240. Its totient is φ = 154334558400.

The previous prime is 424420040437. The next prime is 424420040449. The reversal of 424420040440 is 44040024424.

It is a junction number, because it is equal to n+sod(n) for n = 424420040399 and 424420040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424420040449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43840206 + ... + 43849885.

Almost surely, 2424420040440 is an apocalyptic number.

424420040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424420040440 is an abundant number, since it is smaller than the sum of its proper divisors (625230360800).

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

424420040440 is a wasteful number, since it uses less digits than its factorization.

424420040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87690124 (or 87690109 counting only the distinct ones).

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

Adding to 424420040440 its reverse (44040024424), we get a palindrome (468460064864).

The spelling of 424420040440 in words is "four hundred twenty-four billion, four hundred twenty million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 87690091 175380182 350760364 438450455 701520728 876900910 964591001 1753801820 1929182002 3507603640 3858364004 4822955005 7716728008 9645910010 10610501011 19291820020 21221002022 38583640040 42442004044 53052505055 84884008088 106105010110 212210020220 424420040440