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42402130403412 = 2231315711811465931
BaseRepresentation
bin10011010010000100000111…
…11010111010000001010100
312120010121022101001221100110
421221002003322322001110
521024204030340402122
6230103134135243020
711634311214425343
oct1151020372720124
9176117271057313
1042402130403412
111256870821192a
124909997819470
131a876719417b0
14a683ba04db5a
154d7e9b66390c
hex269083eba054

42402130403412 has 96 divisors (see below), whose sum is σ = 107318465864064. Its totient is φ = 12952722931200.

The previous prime is 42402130403407. The next prime is 42402130403491. The reversal of 42402130403412 is 21430403120424.

It is a super-2 number, since 2×424021304034122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42402130403412.

It is a congruent number.

It is an unprimeable number.

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, 28192087 + ... + 29658017.

It is an arithmetic number, because the mean of its divisors is an integer number (1117900686084).

Almost surely, 242402130403412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42402130403412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53659232932032).

42402130403412 is an abundant number, since it is smaller than the sum of its proper divisors (64916335460652).

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

42402130403412 is a wasteful number, since it uses less digits than its factorization.

42402130403412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467289 (or 1467287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42402130403412 its reverse (21430403120424), we get a palindrome (63832533523836).

The spelling of 42402130403412 in words is "forty-two trillion, four hundred two billion, one hundred thirty million, four hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1181 1884 2041 2362 3543 4082 4724 6123 7086 8164 12246 14172 15353 24492 30706 46059 61412 92118 184236 185417 370834 556251 741668 1112502 1465931 2225004 2410421 2931862 4397793 4820842 5863724 7231263 8795586 9641684 14462526 17591172 19057103 28925052 38114206 57171309 76228412 114342618 228685236 230151167 460302334 690453501 920604668 1380907002 1731264511 2761814004 2991965171 3462529022 5193793533 5983930342 6925058044 8975895513 10387587066 11967860684 17951791026 20775174132 22506438643 35903582052 45012877286 67519315929 90025754572 135038631858 270077263716 271808528227 543617056454 815425584681 1087234112908 1630851169362 3261702338724 3533510866951 7067021733902 10600532600853 14134043467804 21201065201706 42402130403412