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4042424340301 = 293121311636793
BaseRepresentation
bin111010110100110011010…
…001000100111101001101
3112022110012111120111010011
4322310303101010331031
51012212341112342201
612333021502513221
7565025020644334
oct72646321047515
915273174514104
104042424340301
111319423177436
12553547895811
13234278209789
14dd9238a4d1b
1570245725151
hex3ad33444f4d

4042424340301 has 48 divisors (see below), whose sum is σ = 4381409292480. Its totient is φ = 3724749100800.

The previous prime is 4042424340293. The next prime is 4042424340329. The reversal of 4042424340301 is 1030434242404.

It is not a de Polignac number, because 4042424340301 - 23 = 4042424340293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042464340301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595083361 + ... + 595090153.

It is an arithmetic number, because the mean of its divisors is an integer number (91279360260).

Almost surely, 24042424340301 is an apocalyptic number.

It is an amenable number.

4042424340301 is a deficient number, since it is larger than the sum of its proper divisors (338984952179).

4042424340301 is a wasteful number, since it uses less digits than its factorization.

4042424340301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4042424340301 its reverse (1030434242404), we get a palindrome (5072858582705).

The spelling of 4042424340301 in words is "four trillion, forty-two billion, four hundred twenty-four million, three hundred forty thousand, three hundred one".

Divisors: 1 29 31 131 163 899 961 3799 4061 4727 5053 6793 21353 27869 117769 125891 146537 156643 196997 210583 619237 661943 889883 1107259 3650839 4542647 6106907 6528073 19196347 20520233 25806607 27586373 32110511 34325029 145050929 189314117 595086757 800004817 855177563 995425841 1064075899 4206476941 4496578799 24800149327 30858201071 130400785171 139393942769 4042424340301