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424424004004 = 2271113106000001
BaseRepresentation
bin1100010110100011010…
…01000101100110100100
31111120111211122022211201
412023101221011212210
523423210021112004
6522551103212244
742443423336530
oct6132151054644
91446454568751
10424424004004
11153aa7316080
126a30a8a7084
133103b731a10
1416783c50bc0
15b090c406a4
hex62d1a459a4

424424004004 has 48 divisors (see below), whose sum is σ = 997248018816. Its totient is φ = 152640000000.

The previous prime is 424424004001. The next prime is 424424004031. The reversal of 424424004004 is 400400424424.

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

It is not an unprimeable number, because it can be changed into a prime (424424004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52995997 + ... + 53004004.

It is an arithmetic number, because the mean of its divisors is an integer number (20776000392).

Almost surely, 2424424004004 is an apocalyptic number.

424424004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424424004004 is an abundant number, since it is smaller than the sum of its proper divisors (572824014812).

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

424424004004 is a wasteful number, since it uses less digits than its factorization.

424424004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106000036 (or 106000034 counting only the distinct ones).

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

Adding to 424424004004 its reverse (400400424424), we get a palindrome (824824428428).

The spelling of 424424004004 in words is "four hundred twenty-four billion, four hundred twenty-four million, four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 106000001 212000002 424000004 742000007 1166000011 1378000013 1484000014 2332000022 2756000026 2968000028 4664000044 5512000052 8162000077 9646000091 15158000143 16324000154 19292000182 30316000286 32648000308 38584000364 60632000572 106106001001 212212002002 424424004004