Search a number
-
+
35143214004 = 2232976200389
BaseRepresentation
bin100000101110101100…
…101110001110110100
310100201012011020121200
4200232230232032310
51033433130322004
624051121012500
72352611250603
oct405654561664
9110635136550
1035143214004
11139a4478918
126989484130
133410ab7bb2
1419b5549a3a
15daa41e239
hex82eb2e3b4

35143214004 has 18 divisors (see below), whose sum is σ = 88834235490. Its totient is φ = 11714404656.

The previous prime is 35143214003. The next prime is 35143214047. The reversal of 35143214004 is 40041234153.

It is a happy number.

35143214004 is a `hidden beast` number, since 3 + 514 + 3 + 2 + 140 + 0 + 4 = 666.

35143214004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20718723600 + 14424490404 = 143940^2 + 120102^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35143214003) 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, 488100159 + ... + 488100230.

It is an arithmetic number, because the mean of its divisors is an integer number (4935235305).

Almost surely, 235143214004 is an apocalyptic number.

It is an amenable number.

35143214004 is an abundant number, since it is smaller than the sum of its proper divisors (53691021486).

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

35143214004 is a wasteful number, since it uses less digits than its factorization.

35143214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976200399 (or 976200394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35143214004 its reverse (40041234153), we get a palindrome (75184448157).

The spelling of 35143214004 in words is "thirty-five billion, one hundred forty-three million, two hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 976200389 1952400778 2928601167 3904801556 5857202334 8785803501 11714404668 17571607002 35143214004