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606241442144 = 25131457311159
BaseRepresentation
bin10001101001001101100…
…11100100100101100000
32010221211000020011112002
420310212303210211200
534413040302122034
61142300430023132
761541141143232
oct10644663444540
92127730204462
10606241442144
11214118542448
12995b1047aa8
1345225a60640
14214b1182252
1510b82c98e7e
hex8d26ce4960

606241442144 has 24 divisors (see below), whose sum is σ = 1285348443120. Its totient is φ = 279803742336.

The previous prime is 606241442141. The next prime is 606241442161. The reversal of 606241442144 is 441244142606.

It is a super-3 number, since 3×6062414421443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 606241442098 and 606241442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606241442141) 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 3 ways as a sum of consecutive naturals, for example, 728655164 + ... + 728655995.

It is an arithmetic number, because the mean of its divisors is an integer number (53556185130).

Almost surely, 2606241442144 is an apocalyptic number.

It is an amenable number.

606241442144 is an abundant number, since it is smaller than the sum of its proper divisors (679107000976).

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

606241442144 is a wasteful number, since it uses less digits than its factorization.

606241442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457311182 (or 1457311174 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 606241442144 in words is "six hundred six billion, two hundred forty-one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1457311159 2914622318 5829244636 11658489272 18945045067 23316978544 37890090134 46633957088 75780180268 151560360536 303120721072 606241442144