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42422414004 = 22322526146649
BaseRepresentation
bin100111100000100100…
…101010101010110100
311001111111020220210200
4213200210222222310
51143340114222004
631253311320500
73031160366205
oct474044525264
9131444226720
1042422414004
1116a9a38a593
12827b220130
134000bb8329
1420a61c35ac
1511844d9239
hex9e092aab4

42422414004 has 36 divisors (see below), whose sum is σ = 107240979300. Its totient is φ = 14139941760.

The previous prime is 42422414003. The next prime is 42422414011. The reversal of 42422414004 is 40041422424.

42422414004 is a `hidden beast` number, since 4 + 242 + 2 + 414 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15477848100 + 26944565904 = 124410^2 + 164148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×424224140042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422414003) 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, 886072 + ... + 932720.

Almost surely, 242422414004 is an apocalyptic number.

It is an amenable number.

42422414004 is an abundant number, since it is smaller than the sum of its proper divisors (64818565296).

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

42422414004 is a wasteful number, since it uses less digits than its factorization.

42422414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71920 (or 71915 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42422414004 its reverse (40041422424), we get a palindrome (82463836428).

The spelling of 42422414004 in words is "forty-two billion, four hundred twenty-two million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 25261 46649 50522 75783 93298 101044 139947 151566 186596 227349 279894 303132 419841 454698 559788 839682 909396 1679364 1178400389 2356800778 3535201167 4713601556 7070402334 10605603501 14140804668 21211207002 42422414004