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8041551444 = 2232223376429
BaseRepresentation
bin1110111110101000…
…00101011001010100
3202202102121010202200
413133110011121110
5112432114121234
63405542204500
7403164026253
oct73724053124
922672533680
108041551444
113457278693
121685123730
139b2030b84
1456400279a
15320ea6d99
hex1df505654

8041551444 has 18 divisors (see below), whose sum is σ = 20327255130. Its totient is φ = 2680517136.

The previous prime is 8041551443. The next prime is 8041551449. The reversal of 8041551444 is 4441551408.

It can be written as a sum of positive squares in only one way, i.e., 4670355600 + 3371195844 = 68340^2 + 58062^2 .

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: 223376429 = 8041551444 / (8 + 0 + 4 + 1 + 5 + 5 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8041551399 and 8041551408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041551443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111688179 + ... + 111688250.

Almost surely, 28041551444 is an apocalyptic number.

It is an amenable number.

8041551444 is an abundant number, since it is smaller than the sum of its proper divisors (12285703686).

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

8041551444 is a wasteful number, since it uses less digits than its factorization.

8041551444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223376439 (or 223376434 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 8041551444 is about 89674.6979030317. The cubic root of 8041551444 is about 2003.4566427022.

Subtracting from 8041551444 its sum of digits (36), we obtain a palindrome (8041551408).

The spelling of 8041551444 in words is "eight billion, forty-one million, five hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 223376429 446752858 670129287 893505716 1340258574 2010387861 2680517148 4020775722 8041551444