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102414140334 = 232112106943987
BaseRepresentation
bin101111101100001011…
…0111100001110101110
3100210100102021101012200
41133120112330032232
53134221004442314
6115014242242330
710253626554342
oct1373026741656
9323312241180
10102414140334
113a485126500
1217a223563a6
139871a0964c
144d57921622
1529e6155709
hex17d85bc3ae

102414140334 has 72 divisors (see below), whose sum is σ = 244137358920. Its totient is φ = 31004851680.

The previous prime is 102414140329. The next prime is 102414140449. The reversal of 102414140334 is 433041414201.

102414140334 is a `hidden beast` number, since 1 + 0 + 241 + 414 + 0 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×1024141403342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102414140298 and 102414140307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2306289 + ... + 2350275.

Almost surely, 2102414140334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414140334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122068679460).

102414140334 is an abundant number, since it is smaller than the sum of its proper divisors (141723218586).

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

102414140334 is a wasteful number, since it uses less digits than its factorization.

102414140334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45086 (or 45072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102414140334 its reverse (433041414201), we get a palindrome (535455554535).

The spelling of 102414140334 in words is "one hundred two billion, four hundred fourteen million, one hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1069 1089 2138 2178 3207 6414 9621 11759 19242 23518 35277 43987 70554 87974 105831 129349 131961 211662 258698 263922 388047 395883 483857 776094 791766 967714 1164141 1451571 2328282 2903142 4354713 5322427 8709426 10644854 15967281 31934562 47022103 47901843 94044206 95803686 141066309 282132618 423198927 517243133 846397854 1034486266 1551729399 3103458798 4655188197 5689674463 9310376394 11379348926 17069023389 34138046778 51207070167 102414140334