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15243453342 = 23413171922409
BaseRepresentation
bin11100011001001010…
…01010001110011110
31110100100020122220000
432030211022032132
5222204311001332
611000332035130
71046514133635
oct161445121636
943310218800
1015243453342
116512594127
122b55002aa6
13158c1089a0
14a486b851c
155e33a3b7c
hex38c94a39e

15243453342 has 160 divisors (see below), whose sum is σ = 40999543200. Its totient is φ = 4181870592.

The previous prime is 15243453341. The next prime is 15243453347. The reversal of 15243453342 is 24335434251.

15243453342 is a `hidden beast` number, since 1 + 52 + 4 + 34 + 533 + 42 = 666.

15243453342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15243453297 and 15243453306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15243453341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 669034 + ... + 691442.

It is an arithmetic number, because the mean of its divisors is an integer number (256247145).

Almost surely, 215243453342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15243453342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499771600).

15243453342 is an abundant number, since it is smaller than the sum of its proper divisors (25756089858).

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

15243453342 is a wasteful number, since it uses less digits than its factorization.

15243453342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22472 (or 22463 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 15243453342 its reverse (24335434251), we get a palindrome (39578887593).

The spelling of 15243453342 in words is "fifteen billion, two hundred forty-three million, four hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 247 306 323 342 351 442 459 494 513 646 663 702 741 918 969 1026 1053 1326 1377 1482 1539 1938 1989 2106 2223 2754 2907 3078 3978 4199 4446 5814 5967 6669 8398 8721 11934 12597 13338 17442 17901 20007 22409 25194 26163 35802 37791 40014 44818 52326 67227 75582 113373 134454 201681 226746 291317 340119 380953 403362 425771 582634 605043 680238 761906 851542 873951 1142859 1210086 1277313 1747902 1815129 2285718 2554626 2621853 3428577 3630258 3831939 4952389 5243706 5535023 6857154 7238107 7663878 7865559 9904778 10285731 11070046 11495817 14476214 14857167 15731118 16605069 20571462 21714321 22991634 23596677 29714334 30857193 33210138 34487451 43428642 44571501 47193354 49815207 61714386 65142963 68974902 89143002 94095391 99630414 130285926 133714503 149445621 188190782 195428889 267429006 282286173 298891242 390857778 401143509 448336863 564572346 586286667 802287018 846858519 896673726 1172573334 1693717038 2540575557 5081151114 7621726671 15243453342