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42818514102 = 232713223117223
BaseRepresentation
bin100111111000001011…
…101010110010110110
311002112002120212222200
4213320023222302312
51200143014422402
631400501205330
73044040236040
oct477013526266
9132462525880
1042818514102
1117182a31441
12836ba00846
134064c927a0
142102a50a90
1511a917c21c
hex9f82eacb6

42818514102 has 96 divisors (see below), whose sum is σ = 114695712768. Its totient is φ = 11242058688.

The previous prime is 42818514097. The next prime is 42818514131. The reversal of 42818514102 is 20141581824.

42818514102 is a `hidden beast` number, since 4 + 28 + 18 + 514 + 102 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306663 + ... + 423885.

It is an arithmetic number, because the mean of its divisors is an integer number (1194747008).

Almost surely, 242818514102 is an apocalyptic number.

42818514102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42818514102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57347856384).

42818514102 is an abundant number, since it is smaller than the sum of its proper divisors (71877198666).

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

42818514102 is a wasteful number, since it uses less digits than its factorization.

42818514102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117474 (or 117471 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 42818514102 in words is "forty-two billion, eight hundred eighteen million, five hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 223 234 273 446 546 669 819 1338 1561 1638 2007 2899 3122 4014 4683 5798 8697 9366 14049 17394 20293 26091 28098 40586 52182 60879 117223 121758 182637 234446 351669 365274 703338 820561 1055007 1523899 1641122 2110014 2461683 3047798 4571697 4923366 7385049 9143394 10667293 13715091 14770098 21334586 26140729 27430182 32001879 52281458 64003758 78422187 96005637 156844374 182985103 192011274 235266561 339829477 365970206 470533122 548955309 679658954 1019488431 1097910618 1646865927 2038976862 2378806339 3058465293 3293731854 4757612678 6116930586 7136419017 14272838034 21409257051 42818514102