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42140444301 = 32293118232857
BaseRepresentation
bin100111001111110001…
…000010011010001101
311000202211200101002100
4213033301002122031
51142300423204201
631205315545313
73021164603124
oct471761023215
9130684611070
1042140444301
111696520057a
1282008bb239
133c87661257
14207a984abb
15116988c886
hex9cfc4268d

42140444301 has 48 divisors (see below), whose sum is σ = 65058140160. Its totient is φ = 26226305280.

The previous prime is 42140444273. The next prime is 42140444309. The reversal of 42140444301 is 10344404124.

42140444301 is a `hidden beast` number, since 4 + 214 + 0 + 4 + 443 + 0 + 1 = 666.

42140444301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42140444301 - 27 = 42140444173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140444309) 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, 14748465 + ... + 14751321.

It is an arithmetic number, because the mean of its divisors is an integer number (1355377920).

Almost surely, 242140444301 is an apocalyptic number.

It is an amenable number.

42140444301 is a deficient number, since it is larger than the sum of its proper divisors (22917695859).

42140444301 is a wasteful number, since it uses less digits than its factorization.

42140444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42140444301 its reverse (10344404124), we get a palindrome (52484848425).

The spelling of 42140444301 in words is "forty-two billion, one hundred forty million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 9 29 31 87 93 261 279 899 1823 2697 2857 5469 8091 8571 16407 25713 52867 56513 82853 88567 158601 169539 248559 265701 475803 508617 745677 797103 1638877 2568443 4916631 5208311 7705329 14749893 15624933 23115987 46874799 151041019 161457641 453123057 484372923 1359369171 1453118769 4682271589 14046814767 42140444301