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404000212242 = 231153162171249
BaseRepresentation
bin1011110000100000100…
…10100000010100010010
31102121210110200012120210
411320100102200110102
523104343023242432
6505332314344550
741121334100244
oct5702022402422
91377713605523
10404000212242
11146376651030
126636aa2b156
132c135305533
14157a7570094
15a797bb18cc
hex5e104a0512

404000212242 has 64 divisors (see below), whose sum is σ = 898652880000. Its totient is φ = 120038630400.

The previous prime is 404000212211. The next prime is 404000212249. The reversal of 404000212242 is 242212000404.

It is not an unprimeable number, because it can be changed into a prime (404000212249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5634634 + ... + 5705882.

It is an arithmetic number, because the mean of its divisors is an integer number (14041451250).

Almost surely, 2404000212242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404000212242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449326440000).

404000212242 is an abundant number, since it is smaller than the sum of its proper divisors (494652667758).

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

404000212242 is a wasteful number, since it uses less digits than its factorization.

404000212242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72939.

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 404000212242 its reverse (242212000404), we get a palindrome (646212212646).

The spelling of 404000212242 in words is "four hundred four billion, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1621 1749 3242 3498 4863 9726 17831 35662 53493 71249 85913 106986 142498 171826 213747 257739 427494 515478 783739 945043 1567478 1890086 2351217 2835129 3776197 4702434 5670258 7552394 11328591 22657182 41538167 83076334 115494629 124614501 230989258 249229002 346483887 692967774 1270440919 2540881838 3811322757 6121215337 7622645514 12242430674 18363646011 36727292022 67333368707 134666737414 202000106121 404000212242