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6042442406 = 27111314892027
BaseRepresentation
bin1011010000010100…
…00101101010100110
3120121002220212201012
411220022011222212
544333331124111
62435330302222
7302510625110
oct55012055246
916532825635
106042442406
11262088a460
121207727972
13753b09210
144146da3b0
1525571d48b
hex168285aa6

6042442406 has 64 divisors (see below), whose sum is σ = 12183575040. Its totient is φ = 2170575360.

The previous prime is 6042442313. The next prime is 6042442409.

6042442406 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×60424424062 = 73022220459654137672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042442409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2979965 + ... + 2981991.

It is an arithmetic number, because the mean of its divisors is an integer number (190368360).

Almost surely, 26042442406 is an apocalyptic number.

6042442406 is an abundant number, since it is smaller than the sum of its proper divisors (6141132634).

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

6042442406 is a wasteful number, since it uses less digits than its factorization.

6042442406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549.

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 6042442406 is about 77733.1486947493. The cubic root of 6042442406 is about 1821.3951390603.

The spelling of 6042442406 in words is "six billion, forty-two million, four hundred forty-two thousand, four hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1489 2002 2027 2978 4054 10423 14189 16379 19357 20846 22297 26351 28378 32758 38714 44594 52702 114653 135499 156079 184457 212927 229306 270998 289861 312158 368914 425854 579722 1490489 2029027 2980978 3018203 4058054 6036406 21127421 33200233 39236639 42254842 66400466 78473278 232401631 274656473 431603029 464803262 549312946 863206058 3021221203 6042442406