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11046314601040 = 245300894589017
BaseRepresentation
bin1010000010111110101110…
…1010000110101001010000
31110010000110122202011222111
42200233223222012221100
52421440323014213130
635254335030115104
72220032654613565
oct240575352065120
943100418664874
1011046314601040
1135797966851a4
1212a4a244aba94
136218807b3024
142a290464686c
1514251771e02a
hexa0beba86a50

11046314601040 has 40 divisors (see below), whose sum is σ = 25683540601320. Its totient is φ = 4418378029056.

The previous prime is 11046314601037. The next prime is 11046314601083. The reversal of 11046314601040 is 4010641364011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1442910268944 + 9603404332096 = 1201212^2 + 3098936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11046314600993 and 11046314601011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112612 + ... + 4701628.

It is an arithmetic number, because the mean of its divisors is an integer number (642088515033).

Almost surely, 211046314601040 is an apocalyptic number.

11046314601040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11046314601040 is an abundant number, since it is smaller than the sum of its proper divisors (14637226000280).

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

11046314601040 is a wasteful number, since it uses less digits than its factorization.

11046314601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619119 (or 4619113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 11046314601040 its reverse (4010641364011), we get a palindrome (15056955965051).

The spelling of 11046314601040 in words is "eleven trillion, forty-six billion, three hundred fourteen million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30089 60178 120356 150445 240712 300890 481424 601780 1203560 2407120 4589017 9178034 18356068 22945085 36712136 45890170 73424272 91780340 183560680 367121360 138078932513 276157865026 552315730052 690394662565 1104631460104 1380789325130 2209262920208 2761578650260 5523157300520 11046314601040