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11340401040 = 2432515750557
BaseRepresentation
bin10101000111111000…
…01100100110010000
31002021022222001200100
422203330030212100
5141211120313130
65113144052400
7551011550463
oct124374144620
932238861610
1011340401040
11489a3a7171
122245a64100
1310b95cc697
1479819d2da
154658cdc60
hex2a3f0c990

11340401040 has 60 divisors (see below), whose sum is σ = 38084849244. Its totient is φ = 3024106752.

The previous prime is 11340401029. The next prime is 11340401053. The reversal of 11340401040 is 4010404311.

It can be written as a sum of positive squares in 2 ways, for example, as 4330692864 + 7009708176 = 65808^2 + 83724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7874559 + ... + 7875998.

Almost surely, 211340401040 is an apocalyptic number.

11340401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340401040 is an abundant number, since it is smaller than the sum of its proper divisors (26744448204).

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

11340401040 is a wasteful number, since it uses less digits than its factorization.

11340401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15750576 (or 15750567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11340401040 its reverse (4010404311), we get a palindrome (15350805351).

The spelling of 11340401040 in words is "eleven billion, three hundred forty million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15750557 31501114 47251671 63002228 78752785 94503342 126004456 141755013 157505570 189006684 236258355 252008912 283510026 315011140 378013368 472516710 567020052 630022280 708775065 756026736 945033420 1134040104 1260044560 1417550130 1890066840 2268080208 2835100260 3780133680 5670200520 11340401040