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13854281742 = 2337145925121
BaseRepresentation
bin11001110011100011…
…11001000000001110
31022202112021102201000
430321301321000032
5211333144003432
610210425201130
71000215310650
oct147161710016
938675242630
1013854281742
11596a420a24
1228279301a6
1313ca37bb62
14955dc46d0
1556144c57c
hex339c7900e

13854281742 has 64 divisors (see below), whose sum is σ = 35210995200. Its totient is φ = 3955495680.

The previous prime is 13854281741. The next prime is 13854281789. The reversal of 13854281742 is 24718245831.

13854281742 is a `hidden beast` number, since 1 + 38 + 542 + 8 + 1 + 74 + 2 = 666.

It is a super-2 number, since 2×138542817422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854281741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538942 + ... + 564062.

It is an arithmetic number, because the mean of its divisors is an integer number (550171800).

Almost surely, 213854281742 is an apocalyptic number.

13854281742 is an abundant number, since it is smaller than the sum of its proper divisors (21356713458).

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

13854281742 is a wasteful number, since it uses less digits than its factorization.

13854281742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26598 (or 26592 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 13854281742 in words is "thirteen billion, eight hundred fifty-four million, two hundred eighty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1459 2918 4377 8754 10213 13131 20426 25121 26262 30639 39393 50242 61278 75363 78786 91917 150726 175847 183834 226089 275751 351694 452178 527541 551502 678267 1055082 1356534 1582623 3165246 4747869 9495738 36651539 73303078 109954617 219909234 256560773 329863851 513121546 659727702 769682319 989591553 1539364638 1979183106 2309046957 4618093914 6927140871 13854281742