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424001100424 = 23117561637243
BaseRepresentation
bin1100010101110000110…
…11110101101010001000
31111112102100212121012011
412022320123311222020
523421323240203144
6522441115025304
742430066613506
oct6127033655210
91445370777164
10424001100424
111538aa627390
126a21113b234
1330ca1c31505
1416743a07676
15b068a55a34
hex62b86f5a88

424001100424 has 32 divisors (see below), whose sum is σ = 867391043040. Its totient is φ = 192701980800.

The previous prime is 424001100379. The next prime is 424001100427.

424001100424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 424001100395 and 424001100404.

It is not an unprimeable number, because it can be changed into a prime (424001100427) by changing a digit.

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, 346747 + ... + 983989.

It is an arithmetic number, because the mean of its divisors is an integer number (27105970095).

Almost surely, 2424001100424 is an apocalyptic number.

424001100424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424001100424 is an abundant number, since it is smaller than the sum of its proper divisors (443389942616).

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

424001100424 is a wasteful number, since it uses less digits than its factorization.

424001100424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644821 (or 644817 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 424001 and 100424, that added together give a palindrome (524425).

The spelling of 424001100424 in words is "four hundred twenty-four billion, one million, one hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 7561 15122 30244 60488 83171 166342 332684 637243 665368 1274486 2548972 5097944 7009673 14019346 28038692 56077384 4818194323 9636388646 19272777292 38545554584 53000137553 106000275106 212000550212 424001100424