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42024200222000 = 245331677809681
BaseRepresentation
bin10011000111000100001011…
…00001101011010100110000
312111210110210202202111221002
421203202011201223110300
521002011030224101000
6225213352344021132
711565101600042633
oct1143420541532460
9174713722674832
1042024200222000
11124323aa502927
1248686a37617a8
131a5ab3275c509
14a53da7003c1a
154cd22c58a8d5
hex26388586b530

42024200222000 has 80 divisors (see below), whose sum is σ = 104892403908864. Its totient is φ = 16267432320000.

The previous prime is 42024200221987. The next prime is 42024200222021. The reversal of 42024200222000 is 22200242024.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338842841 + ... + 338966840.

Almost surely, 242024200222000 is an apocalyptic number.

42024200222000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42024200222000 is an abundant number, since it is smaller than the sum of its proper divisors (62868203686864).

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

42024200222000 is a wasteful number, since it uses less digits than its factorization.

42024200222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677809735 (or 677809719 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42024200222000 its reverse (22200242024), we get a palindrome (42046400464024).

The spelling of 42024200222000 in words is "forty-two trillion, twenty-four billion, two hundred million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 677809681 1355619362 2711238724 3389048405 5422477448 6778096810 10844954896 13556193620 16945242025 21012100111 27112387240 33890484050 42024200222 54224774480 67780968100 84048400444 84726210125 105060500555 135561936200 168096800888 169452420250 210121001110 271123872400 336193601776 338904840500 420242002220 525302502775 677809681000 840484004440 1050605005550 1355619362000 1680968008880 2101210011100 2626512513875 4202420022200 5253025027750 8404840044400 10506050055500 21012100111000 42024200222000