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2042400244302 = 2321122833313573
BaseRepresentation
bin11101101110001000100…
…010101000001001001110
321020020210101101102122200
4131232020202220021032
5231430313430304202
64202133221222330
7300362403430455
oct35561042501116
97206711342580
102042400244302
117181a4768a00
1228b9b78619a6
1311a79c989822
1470bd1b41b9c
15381da587e1c
hex1db888a824e

2042400244302 has 72 divisors (see below), whose sum is σ = 4881252367992. Its totient is φ = 616722020640.

The previous prime is 2042400244301. The next prime is 2042400244303. The reversal of 2042400244302 is 2034420042402.

2042400244302 is a `hidden beast` number, since 204 + 2 + 4 + 0 + 0 + 24 + 430 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2042400244301) and next prime (2042400244303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042400244301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1040413 + ... + 2273160.

Almost surely, 22042400244302 is an apocalyptic number.

2042400244302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2042400244302 is an abundant number, since it is smaller than the sum of its proper divisors (2838852123690).

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

2042400244302 is a wasteful number, since it uses less digits than its factorization.

2042400244302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313886 (or 3313872 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2042400244302 its reverse (2034420042402), we get a palindrome (4076820286704).

The spelling of 2042400244302 in words is "two trillion, forty-two billion, four hundred million, two hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 283 363 566 726 849 1089 1698 2178 2547 3113 5094 6226 9339 18678 28017 34243 56034 68486 102729 205458 308187 616374 3313573 6627146 9940719 19881438 29822157 36449303 59644314 72898606 109347909 218695818 328043727 400942333 656087454 801884666 937741159 1202826999 1875482318 2405653998 2813223477 3608480997 5626446954 7216961994 8439670431 10315152749 16879340862 20630305498 30945458247 61890916494 92836374741 113466680239 185672749482 226933360478 340400040717 680800081434 1021200122151 2042400244302