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42401000010404 = 22731439111273527
BaseRepresentation
bin10011010010000010000001…
…00010110011001010100100
312120010111101121001000122202
421221001000202303022210
521024144222000313104
6230102430035114032
711634241210306040
oct1151010042631244
9176114347030582
1042401000010404
1112568188128932
124909721142918
131a875216abca9
14a6830dc7d020
154d7e322c751e
hex2690408b32a4

42401000010404 has 48 divisors (see below), whose sum is σ = 87736951357440. Its totient is φ = 17545609579680.

The previous prime is 42401000010371. The next prime is 42401000010407. The reversal of 42401000010404 is 40401000010424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42401000010407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55255712 + ... + 56017815.

It is an arithmetic number, because the mean of its divisors is an integer number (1827853153280).

Almost surely, 242401000010404 is an apocalyptic number.

It is an amenable number.

42401000010404 is an abundant number, since it is smaller than the sum of its proper divisors (45335951347036).

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

42401000010404 is a wasteful number, since it uses less digits than its factorization.

42401000010404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111274008 (or 111274006 counting only the distinct ones).

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

Adding to 42401000010404 its sum of digits (20), we get a palindrome (42401000010424).

Adding to 42401000010404 its reverse (40401000010424), we get a palindrome (82802000020828).

The spelling of 42401000010404 in words is "forty-two trillion, four hundred one billion, ten thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 439 868 878 1756 3073 6146 12292 13609 27218 54436 95263 190526 381052 111273527 222547054 445094108 778914689 1557829378 3115658756 3449479337 6898958674 13797917348 24146355359 48292710718 48849078353 96585421436 97698156706 195396313412 341943548471 683887096942 1367774193884 1514321428943 3028642857886 6057285715772 10600250002601 21200500005202 42401000010404