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142213253401000 = 2353172182634081
BaseRepresentation
bin100000010101011110011010…
…011100111000100110101000
3200122112110021010222121100101
4200111132122130320212220
5122120010220332313000
61222243511112315144
741645365664554165
oct4025363234704650
9618473233877311
10142213253401000
114134a3360645a1
1213b49a6a9a2ab4
136147862cc9342
14271923010b06c
15116945e246e6a
hex81579a7389a8

142213253401000 has 64 divisors (see below), whose sum is σ = 332972380737360. Its totient is φ = 56852247040000.

The previous prime is 142213253400997. The next prime is 142213253401013. The reversal of 142213253401000 is 104352312241.

It can be written as a sum of positive squares in 8 ways, for example, as 5845650457284 + 136367602943716 = 2417778^2 + 11677654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142213253401000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39596041 + ... + 43038040.

Almost surely, 2142213253401000 is an apocalyptic number.

142213253401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142213253401000 is an abundant number, since it is smaller than the sum of its proper divisors (190759127336360).

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

142213253401000 is a wasteful number, since it uses less digits than its factorization.

142213253401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82635823 (or 82635809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 142213253401000 in words is "one hundred forty-two trillion, two hundred thirteen billion, two hundred fifty-three million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1721 3442 6884 8605 13768 17210 34420 43025 68840 86050 172100 215125 344200 430250 860500 1721000 82634081 165268162 330536324 413170405 661072648 826340810 1652681620 2065852025 3305363240 4131704050 8263408100 10329260125 16526816200 20658520250 41317040500 82634081000 142213253401 284426506802 568853013604 711066267005 1137706027208 1422132534010 2844265068020 3555331335025 5688530136040 7110662670050 14221325340100 17776656675125 28442650680200 35553313350250 71106626700500 142213253401000