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2414144268 = 2232671000889
BaseRepresentation
bin1000111111100100…
…1110101100001100
320020020122020100200
42033321032230030
514421010104033
61035315253500
7113552613324
oct21771165414
96206566320
102414144268
1110297a3358
125745aa290
132c61cb943
1418c8a2284
15e1e1c013
hex8fe4eb0c

2414144268 has 36 divisors (see below), whose sum is σ = 6193507320. Its totient is φ = 792703296.

The previous prime is 2414144261. The next prime is 2414144269. The reversal of 2414144268 is 8624414142.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2414144261) 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 11 ways as a sum of consecutive naturals, for example, 498033 + ... + 502856.

It is an arithmetic number, because the mean of its divisors is an integer number (172041870).

Almost surely, 22414144268 is an apocalyptic number.

It is an amenable number.

2414144268 is an abundant number, since it is smaller than the sum of its proper divisors (3779363052).

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

2414144268 is a wasteful number, since it uses less digits than its factorization.

2414144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000966 (or 1000961 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2414144268 is about 49133.9421174406. The cubic root of 2414144268 is about 1341.4909275949.

The spelling of 2414144268 in words is "two billion, four hundred fourteen million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 1000889 2001778 3002667 4003556 6005334 9008001 12010668 18016002 36032004 67059563 134119126 201178689 268238252 402357378 603536067 804714756 1207072134 2414144268