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355664101144 = 231110140016213
BaseRepresentation
bin1010010110011110011…
…10110111111100011000
31021000000211202100102211
411023033032313330120
521311400002214034
6431220112004504
734460454656452
oct5131716677430
91230024670384
10355664101144
11127922127380
1258b1b230734
13277011aa671
14132ddc052d2
1593b943ad64
hex52cf3b7f18

355664101144 has 32 divisors (see below), whose sum is σ = 734697689040. Its totient is φ = 160064848000.

The previous prime is 355664101129. The next prime is 355664101153. The reversal of 355664101144 is 441101466553.

It is a junction number, because it is equal to n+sod(n) for n = 355664101097 and 355664101106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19999219 + ... + 20016994.

Almost surely, 2355664101144 is an apocalyptic number.

It is an amenable number.

355664101144 is an abundant number, since it is smaller than the sum of its proper divisors (379033587896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355664101144 is a wasteful number, since it uses less digits than its factorization.

355664101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016331 (or 40016327 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 355664101144 its reverse (441101466553), we get a palindrome (796765567697).

The spelling of 355664101144 in words is "three hundred fifty-five billion, six hundred sixty-four million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 40016213 80032426 160064852 320129704 440178343 880356686 1760713372 3521426744 4041637513 8083275026 16166550052 32333100104 44458012643 88916025286 177832050572 355664101144