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40001412131424 = 2532138893792123
BaseRepresentation
bin10010001100001100011011…
…11101011110101001100000
312020122002122012002201110100
421012012031331132221200
520220340343001201144
6221024221155102400
711266002166003662
oct1106061575365140
9166562565081410
1040001412131424
111182255a34a337
1245a065bba1a00
13194216a002ca3
149c4115c68532
154957ddbab269
hex24618df5ea60

40001412131424 has 36 divisors (see below), whose sum is σ = 113754015749556. Its totient is φ = 13333804043712.

The previous prime is 40001412131411. The next prime is 40001412131453. The reversal of 40001412131424 is 42413121410004.

40001412131424 is a `hidden beast` number, since 400 + 0 + 1 + 4 + 1 + 213 + 1 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×400014121314242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69446895774 + ... + 69446896349.

It is an arithmetic number, because the mean of its divisors is an integer number (3159833770821).

Almost surely, 240001412131424 is an apocalyptic number.

It is an amenable number.

40001412131424 is an abundant number, since it is smaller than the sum of its proper divisors (73752603618132).

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

40001412131424 is a wasteful number, since it uses less digits than its factorization.

40001412131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138893792139 (or 138893792128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40001412131424 its reverse (42413121410004), we get a palindrome (82414533541428).

The spelling of 40001412131424 in words is "forty trillion, one billion, four hundred twelve million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 138893792123 277787584246 416681376369 555575168492 833362752738 1111150336984 1250044129107 1666725505476 2222300673968 2500088258214 3333451010952 4444601347936 5000176516428 6666902021904 10000353032856 13333804043808 20000706065712 40001412131424