Search a number
-
+
355142442501 = 32731110458593
BaseRepresentation
bin1010010101100000010…
…00111001111000000101
31020221200111011100022100
411022300020321320011
521304312431130001
6431052235022313
734441521645000
oct5126010717005
91227614140270
10355142442501
11127684717530
12589b459a999
132764a0b1202
1413290812537
159388745586
hex52b0239e05

355142442501 has 48 divisors (see below), whose sum is σ = 652616265600. Its totient is φ = 184489562880.

The previous prime is 355142442497. The next prime is 355142442511. The reversal of 355142442501 is 105244241553.

355142442501 is a `hidden beast` number, since 3 + 5 + 5 + 142 + 4 + 4 + 2 + 501 = 666.

It is not a de Polignac number, because 355142442501 - 22 = 355142442497 is a prime.

It is a super-2 number, since 2×3551424425012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355142442511) 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, 5195340 + ... + 5263253.

It is an arithmetic number, because the mean of its divisors is an integer number (13596172200).

Almost surely, 2355142442501 is an apocalyptic number.

It is an amenable number.

355142442501 is a deficient number, since it is larger than the sum of its proper divisors (297473823099).

355142442501 is a wasteful number, since it uses less digits than its factorization.

355142442501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10458631 (or 10458614 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 355142442501 in words is "three hundred fifty-five billion, one hundred forty-two million, four hundred forty-two thousand, five hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 343 441 539 693 1029 1617 3087 3773 4851 11319 33957 10458593 31375779 73210151 94127337 115044523 219630453 345133569 512471057 658891359 805311661 1035400707 1537413171 2415934983 3587297399 4612239513 5637181627 7247804949 10761892197 16911544881 32285676591 39460271389 50734634643 118380814167 355142442501