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354041135343 = 32723743328849
BaseRepresentation
bin1010010011011100111…
…11110000000011101111
31020211211201212010220100
411021232133300003233
521300034012312333
6430351054122143
734402316665650
oct5115637600357
91224751763810
10354041135343
11127169a9a125
12587477b0353
1327502b9357c
14131c8453527
159321c02213
hex526e7f00ef

354041135343 has 48 divisors (see below), whose sum is σ = 610682342400. Its totient is φ = 193252131072.

The previous prime is 354041135341. The next prime is 354041135359. The reversal of 354041135343 is 343531140453.

354041135343 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 4 + 113 + 534 + 3 = 666.

It is not a de Polignac number, because 354041135343 - 21 = 354041135341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 354041135298 and 354041135307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354041135341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912183 + ... + 1241031.

It is an arithmetic number, because the mean of its divisors is an integer number (12722548800).

Almost surely, 2354041135343 is an apocalyptic number.

354041135343 is a deficient number, since it is larger than the sum of its proper divisors (256641207057).

354041135343 is a wasteful number, since it uses less digits than its factorization.

354041135343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329628 (or 329625 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 354041135343 its reverse (343531140453), we get a palindrome (697572275796).

The spelling of 354041135343 in words is "three hundred fifty-four billion, forty-one million, one hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 743 1449 2229 5201 6687 15603 17089 46809 51267 119623 153801 328849 358869 986547 1076607 2301943 2959641 6905829 7563527 20717487 22690581 52944689 68071743 158834067 244334807 476502201 733004421 1710343649 2199013263 5131030947 5619700561 15393092841 16859101683 39337903927 50577305049 118013711781 354041135343