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10243052442 = 2327474094229
BaseRepresentation
bin10011000101000100…
…01001001110011010
3222102212002222101200
421202202021032122
5131434210134232
64412224055030
7511555336440
oct114242111632
928385088350
1010243052442
114386a329a7
121b9a464476
13c7316979c
146d2550b90
153ee3bd77c
hex26288939a

10243052442 has 96 divisors (see below), whose sum is σ = 25972876800. Its totient is φ = 2856639744.

The previous prime is 10243052429. The next prime is 10243052447. The reversal of 10243052442 is 24425034201.

10243052442 is a `hidden beast` number, since 102 + 4 + 30 + 524 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10243052447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419984 + ... + 2424212.

It is an arithmetic number, because the mean of its divisors is an integer number (270550800).

Almost surely, 210243052442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243052442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986438400).

10243052442 is an abundant number, since it is smaller than the sum of its proper divisors (15729824358).

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

10243052442 is a wasteful number, since it uses less digits than its factorization.

10243052442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10243052442 its reverse (24425034201), we get a palindrome (34668086643).

The spelling of 10243052442 in words is "ten billion, two hundred forty-three million, fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 409 423 658 818 846 987 1227 1974 2454 2863 2961 3681 4229 5726 5922 7362 8458 8589 12687 17178 19223 25374 25767 29603 38061 38446 51534 57669 59206 76122 88809 115338 134561 173007 177618 198763 266427 269122 346014 397526 403683 532854 596289 807366 1192578 1211049 1391341 1729661 1788867 2422098 2782682 3459322 3577734 4174023 5188983 8348046 10377966 12107627 12522069 15566949 24215254 25044138 31133898 36322881 72645762 81294067 108968643 162588134 217937286 243882201 487764402 569058469 731646603 1138116938 1463293206 1707175407 3414350814 5121526221 10243052442