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220130413040 = 24510127243863
BaseRepresentation
bin1100110100000011001…
…0111000100111110000
3210001012021012121210202
43031000302320213300
512101311341204130
6245043154414332
721622015431566
oct3150062704760
9701167177722
10220130413040
11853a197449a
12367b52913a8
13179b1a28595
14a923833a36
155ad58a1145
hex3340cb89f0

220130413040 has 40 divisors (see below), whose sum is σ = 516870587808. Its totient is φ = 87180358400.

The previous prime is 220130413039. The next prime is 220130413043. The reversal of 220130413040 is 40314031022.

220130413040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2201304130402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220130413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13613852 + ... + 13630011.

Almost surely, 2220130413040 is an apocalyptic number.

220130413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220130413040 is an abundant number, since it is smaller than the sum of its proper divisors (296740174768).

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

220130413040 is a wasteful number, since it uses less digits than its factorization.

220130413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27243977 (or 27243971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220130413040 its reverse (40314031022), we get a palindrome (260444444062).

The spelling of 220130413040 in words is "two hundred twenty billion, one hundred thirty million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 27243863 54487726 108975452 136219315 217950904 272438630 435901808 544877260 1089754520 2179509040 2751630163 5503260326 11006520652 13758150815 22013041304 27516301630 44026082608 55032603260 110065206520 220130413040