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1004014420040 = 23559425429839
BaseRepresentation
bin11101001110000111110…
…11000100000001001000
310112222112111021002111202
432213003323010001020
5112422210142420130
62045123213243332
7132352261521362
oct16470373040110
93488474232452
101004014420040
11357888a69105
12142702493548
13738a7b98908
1436847671d32
151b1b3dd9145
hexe9c3ec4048

1004014420040 has 32 divisors (see below), whose sum is σ = 2297321136000. Its totient is φ = 394798889664.

The previous prime is 1004014420021. The next prime is 1004014420043. The reversal of 1004014420040 is 400244104001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004014419994 and 1004014420021.

It is not an unprimeable number, because it can be changed into a prime (1004014420043) 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 7 ways as a sum of consecutive naturals, for example, 212712560 + ... + 212717279.

It is an arithmetic number, because the mean of its divisors is an integer number (71791285500).

Almost surely, 21004014420040 is an apocalyptic number.

1004014420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004014420040 is an abundant number, since it is smaller than the sum of its proper divisors (1293306715960).

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

1004014420040 is a wasteful number, since it uses less digits than its factorization.

1004014420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425429909 (or 425429905 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1004014420040 its reverse (400244104001), we get a palindrome (1404258524041).

The spelling of 1004014420040 in words is "one trillion, four billion, fourteen million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 425429839 850859678 1701719356 2127149195 3403438712 4254298390 8508596780 17017193560 25100360501 50200721002 100401442004 125501802505 200802884008 251003605010 502007210020 1004014420040