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14357036106 = 233746781331
BaseRepresentation
bin11010101111011111…
…01111110001001010
31101001120022000001000
431113233233301022
5213400400123411
610332345035430
71015531536060
oct152757576112
941046260030
1014357036106
1160a81997a6
122948185b76
13147a58984a
149a2a96030
1559065b956
hex357befc4a

14357036106 has 64 divisors (see below), whose sum is σ = 36540840960. Its totient is φ = 4093176240.

The previous prime is 14357036093. The next prime is 14357036117. The reversal of 14357036106 is 60163075341.

14357036106 is a `hidden beast` number, since 1 + 4 + 35 + 7 + 0 + 3 + 610 + 6 = 666.

It is a super-2 number, since 2×143570361062 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135861 + ... + 217191.

It is an arithmetic number, because the mean of its divisors is an integer number (570950640).

Almost surely, 214357036106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14357036106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270420480).

14357036106 is an abundant number, since it is smaller than the sum of its proper divisors (22183804854).

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

14357036106 is a wasteful number, since it uses less digits than its factorization.

14357036106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81816 (or 81810 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 14357036106 in words is "fourteen billion, three hundred fifty-seven million, thirty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 467 934 1401 2802 3269 4203 6538 8406 9807 12609 19614 25218 29421 58842 81331 88263 162662 176526 243993 487986 569317 731979 1138634 1463958 1707951 2195937 3415902 4391874 5123853 10247706 15371559 30743118 37981577 75963154 113944731 227889462 265871039 341834193 531742078 683668386 797613117 1025502579 1595226234 2051005158 2392839351 4785678702 7178518053 14357036106