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4020522153444 = 2232111681170929
BaseRepresentation
bin111010100000011001110…
…010110111010111100100
3112020100200002202010001100
4322200121302313113210
51011333012132402234
612315000303000100
7563321200302216
oct72403162672744
915210602663040
104020522153444
111310103a39265
1254b254899030
13232197713ab4
14dc846b065b6
156e8b29b8399
hex3a819cb75e4

4020522153444 has 18 divisors (see below), whose sum is σ = 10162986554630. Its totient is φ = 1340174051136.

The previous prime is 4020522153433. The next prime is 4020522153449. The reversal of 4020522153444 is 4443512250204.

4020522153444 is a `hidden beast` number, since 4 + 0 + 205 + 2 + 2 + 1 + 5 + 3 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3663740528100 + 356781625344 = 1914090^2 + 597312^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×40205221534442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 111681170929 = 4020522153444 / (4 + 0 + 2 + 0 + 5 + 2 + 2 + 1 + 5 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 4020522153399 and 4020522153408.

It is not an unprimeable number, because it can be changed into a prime (4020522153449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55840585429 + ... + 55840585500.

Almost surely, 24020522153444 is an apocalyptic number.

It is an amenable number.

4020522153444 is an abundant number, since it is smaller than the sum of its proper divisors (6142464401186).

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

4020522153444 is a wasteful number, since it uses less digits than its factorization.

4020522153444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111681170939 (or 111681170934 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4020522153444 in words is "four trillion, twenty billion, five hundred twenty-two million, one hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 111681170929 223362341858 335043512787 446724683716 670087025574 1005130538361 1340174051148 2010261076722 4020522153444