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22134140424240 = 2435137094275777
BaseRepresentation
bin1010000100001100000011…
…00100111101000000110000
32220101000002022011221112120
411002012001210331000300
510400121204422033430
6115024141141554240
74443065430226005
oct502060144750060
986330068157476
1022134140424240
117064044262a69
1225958b2a15980
13c473184697b0
145674260418ac
15285b5e439610
hex14218193d030

22134140424240 has 80 divisors (see below), whose sum is σ = 73893976503648. Its totient is φ = 5448403795968.

The previous prime is 22134140424191. The next prime is 22134140424241. The reversal of 22134140424240 is 4242404143122.

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 (22134140424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3547134769 + ... + 3547141008.

Almost surely, 222134140424240 is an apocalyptic number.

22134140424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22134140424240 is an abundant number, since it is smaller than the sum of its proper divisors (51759836079408).

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

22134140424240 is a wasteful number, since it uses less digits than its factorization.

22134140424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094275806 (or 7094275800 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 22134140424240 its reverse (4242404143122), we get a palindrome (26376544567362).

The spelling of 22134140424240 in words is "twenty-two trillion, one hundred thirty-four billion, one hundred forty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7094275777 14188551554 21282827331 28377103108 35471378885 42565654662 56754206216 70942757770 85131309324 92225585101 106414136655 113508412432 141885515540 170262618648 184451170202 212828273310 276676755303 283771031080 340525237296 368902340404 425656546620 461127925505 553353510606 567542062160 737804680808 851313093240 922255851010 1106707021212 1383383776515 1475609361616 1702626186480 1844511702020 2213414042424 2766767553030 3689023404040 4426828084848 5533535106060 7378046808080 11067070212120 22134140424240