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1042401313008 = 243211658081637
BaseRepresentation
bin11110010101100111111…
…01011100000011110000
310200122121201222022011100
433022303331130003300
5114034314214004013
62114512245444400
7135211450652256
oct17126375340360
93618551868140
101042401313008
11372097402a40
1214a036110700
13773b49a6573
14386498d65d6
151c1ade83473
hexf2b3f5c0f0

1042401313008 has 60 divisors (see below), whose sum is σ = 3182482801368. Its totient is φ = 315879185280.

The previous prime is 1042401313007. The next prime is 1042401313061. The reversal of 1042401313008 is 8003131042401.

1042401313008 is a `hidden beast` number, since 104 + 240 + 1 + 313 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042401313007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329039235 + ... + 329042402.

Almost surely, 21042401313008 is an apocalyptic number.

1042401313008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1042401313008 is an abundant number, since it is smaller than the sum of its proper divisors (2140081488360).

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

1042401313008 is a wasteful number, since it uses less digits than its factorization.

1042401313008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658081662 (or 658081653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1042401313008 its reverse (8003131042401), we get a palindrome (9045532355409).

The spelling of 1042401313008 in words is "one trillion, forty-two billion, four hundred one million, three hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 658081637 1316163274 1974244911 2632326548 3948489822 5264653096 5922734733 7238898007 7896979644 10529306192 11845469466 14477796014 15793959288 21716694021 23690938932 28955592028 31587918576 43433388042 47381877864 57911184056 65150082063 86866776084 94763755728 115822368112 130300164126 173733552168 260600328252 347467104336 521200656504 1042401313008