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20413514222000 = 245328409359279
BaseRepresentation
bin1001010010000111001000…
…10000111000100110110000
32200021111211220102111002022
410221003210100320212300
510133423334120101000
6111225501115011012
74204553624640014
oct451034420704660
980244756374068
1020413514222000
116560360665449
122358338739a68
13b50ca86b8333
1450803b1a4544
15256007e08585
hex1290e44389b0

20413514222000 has 80 divisors (see below), whose sum is σ = 49361752252800. Its totient is φ = 8165095539200.

The previous prime is 20413514221967. The next prime is 20413514222009. The reversal of 20413514222000 is 22241531402.

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

It is not an unprimeable number, because it can be changed into a prime (20413514222009) 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 15 ways as a sum of consecutive naturals, for example, 56638361 + ... + 56997639.

It is an arithmetic number, because the mean of its divisors is an integer number (617021903160).

Almost surely, 220413514222000 is an apocalyptic number.

20413514222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413514222000 is an abundant number, since it is smaller than the sum of its proper divisors (28948238030800).

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

20413514222000 is a wasteful number, since it uses less digits than its factorization.

20413514222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387711 (or 387695 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 20413514222000 its reverse (22241531402), we get a palindrome (20435755753402).

The spelling of 20413514222000 in words is "twenty trillion, four hundred thirteen billion, five hundred fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 28409 56818 113636 142045 227272 284090 359279 454544 568180 710225 718558 1136360 1420450 1437116 1796395 2272720 2840900 2874232 3551125 3592790 5681800 5748464 7102250 7185580 8981975 11363600 14204500 14371160 17963950 28409000 28742320 35927900 44909875 56818000 71855800 89819750 143711600 179639500 359279000 718558000 10206757111 20413514222 40827028444 51033785555 81654056888 102067571110 163308113776 204135142220 255168927775 408270284440 510337855550 816540568880 1020675711100 1275844638875 2041351422200 2551689277750 4082702844400 5103378555500 10206757111000 20413514222000