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2401051040 = 255137109537
BaseRepresentation
bin1000111100011101…
…0010000110100000
320012100000000211022
42033013102012200
514404132113130
61034130505012
7113333411543
oct21707220640
96170000738
102401051040
111022370203
12570135168
132c359617b
1418ac5485a
15e0bd27e5
hex8f1d21a0

2401051040 has 48 divisors (see below), whose sum is σ = 5713940232. Its totient is φ = 953401344.

The previous prime is 2401050941. The next prime is 2401051043. The reversal of 2401051040 is 401501042.

It can be written as a sum of positive squares in 4 ways, for example, as 2356908304 + 44142736 = 48548^2 + 6644^2 .

It is not an unprimeable number, because it can be changed into a prime (2401051043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32849 + ... + 76688.

Almost surely, 22401051040 is an apocalyptic number.

2401051040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401051040 is an abundant number, since it is smaller than the sum of its proper divisors (3312889192).

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

2401051040 is a wasteful number, since it uses less digits than its factorization.

2401051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109689 (or 109681 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2401051040 is about 49000.5208135587. The cubic root of 2401051040 is about 1339.0613163095.

Adding to 2401051040 its reverse (401501042), we get a palindrome (2802552082).

The spelling of 2401051040 in words is "two billion, four hundred one million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 109537 219074 438148 547685 876296 1095370 1752592 2190740 3505184 4381480 8762960 15006569 17525920 30013138 60026276 75032845 120052552 150065690 240105104 300131380 480210208 600262760 1200525520 2401051040