Search a number
-
+
354244622481 = 3427761725589
BaseRepresentation
bin1010010011110101001…
…11111111100010010001
31020212100220202100210000
411021322213333202101
521300443110404411
6430423203400213
734410340415631
oct5117247774221
91225326670700
10354244622481
11127263944012
12587a3983069
132753609bb69
14132074a26c1
1593349e9956
hex527a9ff891

354244622481 has 40 divisors (see below), whose sum is σ = 531972187560. Its totient is φ = 234919948032.

The previous prime is 354244622471. The next prime is 354244622503. The reversal of 354244622481 is 184226442453.

354244622481 is a `hidden beast` number, since 3 + 542 + 4 + 4 + 6 + 2 + 24 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7158682881 + 347085939600 = 84609^2 + 589140^2 .

It is not a de Polignac number, because 354244622481 - 27 = 354244622353 is a prime.

It is a super-3 number, since 3×3542446224813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (354244622401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13830835 + ... + 13856423.

It is an arithmetic number, because the mean of its divisors is an integer number (13299304689).

Almost surely, 2354244622481 is an apocalyptic number.

It is an amenable number.

354244622481 is a deficient number, since it is larger than the sum of its proper divisors (177727565079).

354244622481 is a wasteful number, since it uses less digits than its factorization.

354244622481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26495 (or 26486 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 354244622481 in words is "three hundred fifty-four billion, two hundred forty-four million, six hundred twenty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 277 617 831 1851 2493 5553 7479 16659 22437 25589 49977 76767 170909 230301 512727 690903 1538181 2072709 4614543 7088153 13843629 15788413 21264459 47365239 63793377 142095717 191380131 426287151 574140393 1278861453 4373390401 13120171203 39360513609 118081540827 354244622481