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11404012214020 = 2251017057799993
BaseRepresentation
bin1010010111110011010000…
…0110001101011100000100
31111101012202012220122020111
42211330310012031130010
52443320404111322040
640130533023242404
72254625024301316
oct245746406153404
944335665818214
1011404012214020
1136a7461658068
121342210749404
1364951706c31a
142b5d5854b7b6
1514b9a043bdea
hexa5f3418d704

11404012214020 has 48 divisors (see below), whose sum is σ = 24188996181168. Its totient is φ = 4515794841600.

The previous prime is 11404012214009. The next prime is 11404012214057. The reversal of 11404012214020 is 2041221040411.

It can be written as a sum of positive squares in 8 ways, for example, as 6725754680836 + 4678257533184 = 2593406^2 + 2162928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11404012213982 and 11404012214000.

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, 13855144 + ... + 14655136.

It is an arithmetic number, because the mean of its divisors is an integer number (503937420441).

Almost surely, 211404012214020 is an apocalyptic number.

11404012214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404012214020 is an abundant number, since it is smaller than the sum of its proper divisors (12784983967148).

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

11404012214020 is a wasteful number, since it uses less digits than its factorization.

11404012214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807160 (or 807158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11404012214020 its reverse (2041221040411), we get a palindrome (13445233254431).

The spelling of 11404012214020 in words is "eleven trillion, four hundred four billion, twelve million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 7057 14114 28228 35285 70570 141140 712757 799993 1425514 1599986 2851028 3199972 3563785 3999965 7127570 7999930 14255140 15999860 80799293 161598586 323197172 403996465 807992930 1615985860 5645550601 11291101202 22582202404 28227753005 56455506010 112911012020 570200610701 1140401221402 2280802442804 2851003053505 5702006107010 11404012214020