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42104214138 = 2372357176333
BaseRepresentation
bin100111001101100110…
…110101001001111010
311000200022111200122110
4213031212311021322
51142212134323023
631201543233150
73020244625620
oct471546651172
9130608450573
1042104214138
1116946805298
1281b07487b6
133c7ccb759c
142075c33510
1511665d2a93
hex9cd9b527a

42104214138 has 64 divisors (see below), whose sum is σ = 100599662592. Its totient is φ = 11486439360.

The previous prime is 42104214133. The next prime is 42104214179. The reversal of 42104214138 is 83141240124.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42104214133) 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, 513420 + ... + 589752.

It is an arithmetic number, because the mean of its divisors is an integer number (1571869728).

Almost surely, 242104214138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104214138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50299831296).

42104214138 is an abundant number, since it is smaller than the sum of its proper divisors (58495448454).

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

42104214138 is a wasteful number, since it uses less digits than its factorization.

42104214138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76939.

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 42104214138 in words is "forty-two billion, one hundred four million, two hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 571 966 1142 1713 3426 3997 7994 11991 13133 23982 26266 39399 76333 78798 91931 152666 183862 228999 275793 457998 534331 551586 1068662 1602993 1755659 3205986 3511318 5266977 10533954 12289613 24579226 36868839 43586143 73737678 87172286 130758429 261516858 305103001 610206002 915309003 1002481289 1830618006 2004962578 3007443867 6014887734 7017369023 14034738046 21052107069 42104214138