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10400424401412 = 223433795252449
BaseRepresentation
bin1001011101011000100110…
…0110100001101000000100
31100211021022110101110010000
42113112021212201220010
52330400032121321122
634041520005401300
72122256132530233
oct227261146415004
940737273343100
1010400424401412
11334a882488491
1211bb809109230
135a59a969ca56
1427d551808b1a
15130813c200ac
hex975899a1a04

10400424401412 has 60 divisors (see below), whose sum is σ = 27269442900700. Its totient is φ = 3456520833024.

The previous prime is 10400424401383. The next prime is 10400424401429. The reversal of 10400424401412 is 21410442400401.

It is a happy number.

10400424401412 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 4 + 244 + 0 + 1 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6595209516996 + 3805214884416 = 2568114^2 + 1950696^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47517037 + ... + 47735412.

Almost surely, 210400424401412 is an apocalyptic number.

10400424401412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400424401412 is an abundant number, since it is smaller than the sum of its proper divisors (16869018499288).

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

10400424401412 is a wasteful number, since it uses less digits than its factorization.

10400424401412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95252802 (or 95252791 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10400424401412 its reverse (21410442400401), we get a palindrome (31810866801813).

The spelling of 10400424401412 in words is "ten trillion, four hundred billion, four hundred twenty-four million, four hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 337 674 1011 1348 2022 3033 4044 6066 9099 12132 18198 27297 36396 54594 109188 95252449 190504898 285757347 381009796 571514694 857272041 1143029388 1714544082 2571816123 3429088164 5143632246 7715448369 10287264492 15430896738 30861793476 32100075313 64200150626 96300225939 128400301252 192600451878 288900677817 385200903756 577801355634 866702033451 1155602711268 1733404066902 2600106100353 3466808133804 5200212200706 10400424401412