Search a number
-
+
35401411341 = 343114098531
BaseRepresentation
bin100000111110000101…
…101010101100001101
310101101012000000210000
4200332011222230031
51040000230130331
624132503034513
72362165013532
oct407605525415
9111335000700
1035401411341
11140171a034a
126a3ba3ba39
13345243a79a
1419db95ad89
15dc2e220e6
hex83e16ab0d

35401411341 has 20 divisors (see below), whose sum is σ = 54589515904. Its totient is φ = 22839618600.

The previous prime is 35401411301. The next prime is 35401411387. The reversal of 35401411341 is 14311410453.

35401411341 is a `hidden beast` number, since 3 + 540 + 1 + 4 + 113 + 4 + 1 = 666.

It is not a de Polignac number, because 35401411341 - 217 = 35401280269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35401411301) 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 19 ways as a sum of consecutive naturals, for example, 7046755 + ... + 7051776.

Almost surely, 235401411341 is an apocalyptic number.

35401411341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

35401411341 is a deficient number, since it is larger than the sum of its proper divisors (19188104563).

35401411341 is a wasteful number, since it uses less digits than its factorization.

35401411341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098574 (or 14098565 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 35401411341 its reverse (14311410453), we get a palindrome (49712821794).

The spelling of 35401411341 in words is "thirty-five billion, four hundred one million, four hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 9 27 31 81 93 279 837 2511 14098531 42295593 126886779 380660337 437054461 1141981011 1311163383 3933490149 11800470447 35401411341