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4141130240 = 29513124433
BaseRepresentation
bin1111011011010100…
…1010001000000000
3101200121021012202002
43312311022020000
531440112131430
61522530443132
7204423012002
oct36665121000
911617235662
104141130240
111835618495
12976a334a8
1350cc36330
142b3db0372
15193851845
hexf6d4a200

4141130240 has 80 divisors (see below), whose sum is σ = 10692862488. Its totient is φ = 1529020416.

The previous prime is 4141130239. The next prime is 4141130303. The reversal of 4141130240 is 420311414.

It can be written as a sum of positive squares in 4 ways, for example, as 3702479104 + 438651136 = 60848^2 + 20944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 28937 + ... + 95496.

Almost surely, 24141130240 is an apocalyptic number.

4141130240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141130240 is an abundant number, since it is smaller than the sum of its proper divisors (6551732248).

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

4141130240 is a wasteful number, since it uses less digits than its factorization.

4141130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124469 (or 124453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4141130240 is about 64351.6141211703. The cubic root of 4141130240 is about 1605.8548824200.

Adding to 4141130240 its reverse (420311414), we get a palindrome (4561441654).

The spelling of 4141130240 in words is "four billion, one hundred forty-one million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 124433 248866 497732 622165 995464 1244330 1617629 1990928 2488660 3235258 3981856 4977320 6470516 7963712 8088145 9954640 12941032 15927424 16176290 19909280 25882064 31854848 32352580 39818560 51764128 63709696 64705160 79637120 103528256 129410320 159274240 207056512 258820640 318548480 414113024 517641280 828226048 1035282560 2070565120 4141130240