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4274100014724 = 2232118725000409
BaseRepresentation
bin111110001100100100001…
…101101000111010000100
3120010121012101020011011100
4332030210031220322010
51030011324100432344
613031254444340100
7620536116456351
oct76144415507204
916117171204140
104274100014724
1113a86aa03a661
12590423544630
13250079b01067
1410ac20783628
15762a496e569
hex3e324368e84

4274100014724 has 18 divisors (see below), whose sum is σ = 10803975037310. Its totient is φ = 1424700004896.

The previous prime is 4274100014693. The next prime is 4274100014731.

4274100014724 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3490290805824 + 783809208900 = 1868232^2 + 885330^2 .

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

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: 118725000409 = 4274100014724 / (4 + 2 + 7 + 4 + 1 + 0 + 0 + 0 + 1 + 4 + 7 + 2 + 4).

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 5 ways as a sum of consecutive naturals, for example, 59362500169 + ... + 59362500240.

Almost surely, 24274100014724 is an apocalyptic number.

It is an amenable number.

4274100014724 is an abundant number, since it is smaller than the sum of its proper divisors (6529875022586).

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

4274100014724 is a wasteful number, since it uses less digits than its factorization.

4274100014724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118725000419 (or 118725000414 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

It can be divided in two parts, 42741000 and 14724, that added together give a palindrome (42755724).

The spelling of 4274100014724 in words is "four trillion, two hundred seventy-four billion, one hundred million, fourteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 118725000409 237450000818 356175001227 474900001636 712350002454 1068525003681 1424700004908 2137050007362 4274100014724