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42000402400404 = 2237292976888327
BaseRepresentation
bin10011000110010111110110…
…00100001100010010010100
312111201012101020221220212020
421203023323010030102110
521001113311003303104
6225154415110053140
711563300060641600
oct1143137304142224
9174635336856766
1042000402400404
11124232a8230278
124863b6194a1b0
131a5880c300b86
14a52b8a596500
154cc7d81d42d9
hex2632fb10c494

42000402400404 has 72 divisors (see below), whose sum is σ = 114123807483840. Its totient is φ = 11987197576704.

The previous prime is 42000402400379. The next prime is 42000402400409. The reversal of 42000402400404 is 40400420400024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000402400409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37897912 + ... + 38990415.

It is an arithmetic number, because the mean of its divisors is an integer number (1585052881720).

Almost surely, 242000402400404 is an apocalyptic number.

It is an amenable number.

42000402400404 is an abundant number, since it is smaller than the sum of its proper divisors (72123405083436).

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

42000402400404 is a wasteful number, since it uses less digits than its factorization.

42000402400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76889277 (or 76889268 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42000402400404 its reverse (40400420400024), we get a palindrome (82400822800428).

The spelling of 42000402400404 in words is "forty-two trillion, four hundred two million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 929 1858 2787 3716 5574 6503 11148 13006 19509 26012 39018 45521 78036 91042 136563 182084 273126 546252 76888327 153776654 230664981 307553308 461329962 538218289 922659924 1076436578 1614654867 2152873156 3229309734 3767528023 6458619468 7535056046 11302584069 15070112092 22605168138 45210336276 71429255783 142858511566 214287767349 285717023132 428575534698 500004790481 857151069396 1000009580962 1500014371443 2000019161924 3000028742886 3500033533367 6000057485772 7000067066734 10500100600101 14000134133468 21000201200202 42000402400404