Search a number
-
+
10141441040 = 245126768013
BaseRepresentation
bin10010111000111101…
…00001110000010000
3222011202220120202102
421130132201300100
5131232202103130
64354154135532
7506212553333
oct113436416020
928152816672
1010141441040
114334640835
121b704215a8
13c580b06b3
146c2c6061a
153e54eb645
hex25c7a1c10

10141441040 has 20 divisors (see below), whose sum is σ = 23578850604. Its totient is φ = 4056576384.

The previous prime is 10141441033. The next prime is 10141441049. The reversal of 10141441040 is 4014414101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5468898304 + 4672542736 = 73952^2 + 68356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10141441049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63383927 + ... + 63384086.

Almost surely, 210141441040 is an apocalyptic number.

10141441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141441040 is an abundant number, since it is smaller than the sum of its proper divisors (13437409564).

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

10141441040 is a wasteful number, since it uses less digits than its factorization.

10141441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126768026 (or 126768020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10141441040 its reverse (4014414101), we get a palindrome (14155855141).

The spelling of 10141441040 in words is "ten billion, one hundred forty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126768013 253536026 507072052 633840065 1014144104 1267680130 2028288208 2535360260 5070720520 10141441040