Search a number
-
+
13445911235700 = 22325214939901373
BaseRepresentation
bin1100001110101001111011…
…0000110100110001110100
31202121102020200011022201100
43003222132300310301310
53230244211234020300
644332544421530100
72555302133513466
oct303523660646164
952542220138640
1013445911235700
1143144193a3a99
121611aa8573930
13766c36c363c8
14346add89a136
15184b5b9b9700
hexc3a9ec34c74

13445911235700 has 54 divisors (see below), whose sum is σ = 42145461776054. Its totient is φ = 3585576329280.

The previous prime is 13445911235657. The next prime is 13445911235711. The reversal of 13445911235700 is 753211954431.

13445911235700 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 59 + 1 + 1 + 23 + 570 + 0 = 666.

13445911235700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1247907941604 + 12198003294096 = 1117098^2 + 3492564^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7469949787 + ... + 7469951586.

Almost surely, 213445911235700 is an apocalyptic number.

13445911235700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13445911235700 is an abundant number, since it is smaller than the sum of its proper divisors (28699550540354).

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

13445911235700 is a wasteful number, since it uses less digits than its factorization.

13445911235700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939901393 (or 14939901383 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13445911235700 in words is "thirteen trillion, four hundred forty-five billion, nine hundred eleven million, two hundred thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14939901373 29879802746 44819704119 59759605492 74699506865 89639408238 134459112357 149399013730 179278816476 224098520595 268918224714 298798027460 373497534325 448197041190 537836449428 672295561785 746995068650 896394082380 1120492602975 1344591123570 1493990137300 2240985205950 2689182247140 3361477808925 4481970411900 6722955617850 13445911235700