Search a number
-
+
14213036994156 = 2232711137110155001
BaseRepresentation
bin1100111011010011101100…
…0001010110111001101100
31212022202022222121120011100
43032310323001112321230
53330331244432303111
650121213513123100
72664600210050640
oct316647301267154
955282288546140
1014213036994156
11458a795939520
1217166b93b9490
137c138c1c8440
14371cb3b88c20
15199aa8b80756
hexced3b056e6c

14213036994156 has 576 divisors, whose sum is σ = 49402828081152. Its totient is φ = 3326400000000.

The previous prime is 14213036994131. The next prime is 14213036994161. The reversal of 14213036994156 is 65149963031241.

14213036994156 is a `hidden beast` number, since 1 + 4 + 2 + 130 + 3 + 6 + 99 + 415 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258386656 + ... + 258441656.

It is an arithmetic number, because the mean of its divisors is an integer number (85768798752).

Almost surely, 214213036994156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213036994156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701414040576).

14213036994156 is an abundant number, since it is smaller than the sum of its proper divisors (35189791086996).

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

14213036994156 is a wasteful number, since it uses less digits than its factorization.

14213036994156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55214 (or 55209 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 14213036994156 in words is "fourteen trillion, two hundred thirteen billion, thirty-six million, nine hundred ninety-four thousand, one hundred fifty-six".