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42155255124 = 22321493784313
BaseRepresentation
bin100111010000101001…
…100010010101010100
311000210212112211201100
4213100221202111110
51142313221130444
631211005230100
73021434520303
oct472051422524
9130725484640
1042155255124
11169725a7124
128205862330
133c8a748758
14207c91c43a
15116ad15e69
hex9d0a62554

42155255124 has 36 divisors (see below), whose sum is σ = 106630625556. Its totient is φ = 14042322048.

The previous prime is 42155255119. The next prime is 42155255143.

42155255124 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 525 + 5 + 124 = 666.

42155255124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 39389547024 + 2765708100 = 198468^2 + 52590^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338409 + ... + 445904.

It is an arithmetic number, because the mean of its divisors is an integer number (2961961821).

Almost surely, 242155255124 is an apocalyptic number.

It is an amenable number.

42155255124 is an abundant number, since it is smaller than the sum of its proper divisors (64475370432).

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

42155255124 is a wasteful number, since it uses less digits than its factorization.

42155255124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785816 (or 785811 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 42155255124 in words is "forty-two billion, one hundred fifty-five million, two hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1493 2986 4479 5972 8958 13437 17916 26874 53748 784313 1568626 2352939 3137252 4705878 7058817 9411756 14117634 28235268 1170979309 2341958618 3512937927 4683917236 7025875854 10538813781 14051751708 21077627562 42155255124