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400421242124004 = 223673860912899489
BaseRepresentation
bin101101100001011100101010…
…1111001011011011011100100
31221111202220012211122012012010
41123002321111321123123210
5404441000200440432004
63535342551255354220
7150225323442621123
oct13302712571333344
91844686184565163
10400421242124004
1110664a771245182
1238ab039b982970
131425773a9b672a
1470c46c4a69aba
153145d1e84ea89
hex16c2e55e5b6e4

400421242124004 has 48 divisors (see below), whose sum is σ = 948285884145600. Its totient is φ = 131478186233856.

The previous prime is 400421242123943. The next prime is 400421242124027.

400421242124004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4004212421240042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24591892 + ... + 37491380.

It is an arithmetic number, because the mean of its divisors is an integer number (19755955919700).

Almost surely, 2400421242124004 is an apocalyptic number.

It is an amenable number.

400421242124004 is an abundant number, since it is smaller than the sum of its proper divisors (547864642021596).

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

400421242124004 is a wasteful number, since it uses less digits than its factorization.

400421242124004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938172 (or 12938170 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 400421242124004 in words is "four hundred trillion, four hundred twenty-one billion, two hundred forty-two million, one hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 38609 77218 115827 154436 231654 463308 2586803 5173606 7760409 10347212 12899489 15520818 25798978 31041636 38698467 51597956 77396934 154793868 864265763 1728531526 2592797289 3457063052 5185594578 10371189156 498036370801 996072741602 1494109112403 1992145483204 2988218224806 5976436449612 33368436843667 66736873687334 100105310531001 133473747374668 200210621062002 400421242124004