Search a number
-
+
355034211541 = 23331169727481
BaseRepresentation
bin1010010101010011011…
…00000010010011010101
31020221101221111122100021
411022221230002103111
521304102224232131
6431033411145141
734436036001562
oct5125154022325
91227357448307
10355034211541
11127629613a59
12589842a51b1
1327630848119
14132802bb869
15937deb6e11
hex52a9b024d5

355034211541 has 16 divisors (see below), whose sum is σ = 371822226048. Its totient is φ = 338360140800.

The previous prime is 355034211523. The next prime is 355034211557. The reversal of 355034211541 is 145112430553.

It is a cyclic number.

It is not a de Polignac number, because 355034211541 - 217 = 355034080469 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 355034211497 and 355034211506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355034212541) 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 15 ways as a sum of consecutive naturals, for example, 12905521 + ... + 12933001.

It is an arithmetic number, because the mean of its divisors is an integer number (23238889128).

Almost surely, 2355034211541 is an apocalyptic number.

It is an amenable number.

355034211541 is a deficient number, since it is larger than the sum of its proper divisors (16788014507).

355034211541 is a wasteful number, since it uses less digits than its factorization.

355034211541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29532.

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 355034211541 in words is "three hundred fifty-five billion, thirty-four million, two hundred eleven thousand, five hundred forty-one".

Divisors: 1 23 331 1697 7613 27481 39031 561707 632063 9096211 12919261 46635257 209212853 1072610911 15436270067 355034211541