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2042400403998 = 232731554338207
BaseRepresentation
bin11101101110001000100…
…011001111001000011110
321020020210101200112201100
4131232020203033020132
5231430314000411443
64202133224453530
7300362404664163
oct35561043171036
97206711615640
102042400403998
117181a4867989
1228b9b791a2a6
1311a79ca14416
1470bd1b8406a
15381da5ba3d3
hex1db888cf21e

2042400403998 has 24 divisors (see below), whose sum is σ = 4485820068288. Its totient is φ = 671474104992.

The previous prime is 2042400403997. The next prime is 2042400404027. The reversal of 2042400403998 is 8993040042402.

It is a happy number.

2042400403998 is a `hidden beast` number, since 204 + 2 + 400 + 4 + 0 + 39 + 9 + 8 = 666.

It is a super-2 number, since 2×20424004039982 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042400403997) 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, 777167790 + ... + 777170417.

It is an arithmetic number, because the mean of its divisors is an integer number (186909169512).

Almost surely, 22042400403998 is an apocalyptic number.

2042400403998 is an abundant number, since it is smaller than the sum of its proper divisors (2443419664290).

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

2042400403998 is a wasteful number, since it uses less digits than its factorization.

2042400403998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554338288 (or 1554338285 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2042400403998 in words is "two trillion, forty-two billion, four hundred million, four hundred three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 1554338207 3108676414 4663014621 9326029242 13989043863 27978087726 113466689111 226933378222 340400067333 680800134666 1021200201999 2042400403998