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42124321134 = 2337163683681
BaseRepresentation
bin100111001110110011…
…100010000101101110
311000201201100020021000
4213032303202011232
51142232311234014
631203542221130
73020610551610
oct471663420556
9130651306230
1042124321134
1116957098a45
1281b74247a6
133c8420760c
142078788db0
151168255509
hex9cece216e

42124321134 has 64 divisors (see below), whose sum is σ = 107638894080. Its totient is φ = 11961665280.

The previous prime is 42124321133. The next prime is 42124321157. The reversal of 42124321134 is 43112342124.

42124321134 is a `hidden beast` number, since 4 + 212 + 432 + 1 + 13 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42124321098 and 42124321107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124321133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280227 + ... + 403454.

It is an arithmetic number, because the mean of its divisors is an integer number (1681857720).

Almost surely, 242124321134 is an apocalyptic number.

42124321134 is an abundant number, since it is smaller than the sum of its proper divisors (65514572946).

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

42124321134 is a wasteful number, since it uses less digits than its factorization.

42124321134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683862 (or 683856 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 42124321134 its reverse (43112342124), we get a palindrome (85236663258).

The spelling of 42124321134 in words is "forty-two billion, one hundred twenty-four million, three hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 978 1141 1467 2282 2934 3423 4401 6846 8802 10269 20538 30807 61614 683681 1367362 2051043 4102086 4785767 6153129 9571534 12306258 14357301 18459387 28714602 36918774 43071903 86143806 111440003 129215709 222880006 258431418 334320009 668640018 780080021 1002960027 1560160042 2005920054 2340240063 3008880081 4680480126 6017760162 7020720189 14041440378 21062160567 42124321134