Search a number
-
+
9401114035105 = 513260441555337
BaseRepresentation
bin1000100011001101111000…
…0100000000001110100001
31020021201220210122001012121
42020303132010000032201
52213011440143110410
631554451232224241
71660131240546112
oct210633604001641
936251823561177
109401114035105
112aa4a988715a1
121079bba09b081
135326a12540b0
14247032bdc209
15114827cce9da
hex88cde1003a1

9401114035105 has 16 divisors (see below), whose sum is σ = 12149200509264. Its totient is φ = 6942321976320.

The previous prime is 9401114035067. The next prime is 9401114035163. The reversal of 9401114035105 is 5015304111049.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31490986849 + 9369623048256 = 177457^2 + 3060984^2 .

It is a de Polignac number, because none of the positive numbers 2k-9401114035105 is a prime.

It is a super-2 number, since 2×94011140351052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16650997 + ... + 17206333.

It is an arithmetic number, because the mean of its divisors is an integer number (759325031829).

Almost surely, 29401114035105 is an apocalyptic number.

It is an amenable number.

9401114035105 is a deficient number, since it is larger than the sum of its proper divisors (2748086474159).

9401114035105 is a wasteful number, since it uses less digits than its factorization.

9401114035105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815796.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 9401114035105 in words is "nine trillion, four hundred one billion, one hundred fourteen million, thirty-five thousand, one hundred five".

Divisors: 1 5 13 65 260441 555337 1302205 2776685 3385733 7219381 16928665 36096905 144632523617 723162618085 1880222807021 9401114035105