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1319414144 = 2728136683
BaseRepresentation
bin100111010100100…
…1010100110000000
310101221201011221112
41032221022212000
510200232223034
6334531342452
744460556316
oct11651124600
93357634845
101319414144
11617858414
12309a51a28
13180474839
14c73360b6
157ac777ce
hex4ea4a980

1319414144 has 32 divisors (see below), whose sum is σ = 2637946440. Its totient is φ = 657341440.

The previous prime is 1319414141. The next prime is 1319414197. The reversal of 1319414144 is 4414149131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1319414144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319414141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17627 + ... + 54309.

It is a self-describing number.

Almost surely, 21319414144 is an apocalyptic number.

It is an amenable number.

1319414144 is a deficient number, since it is larger than the sum of its proper divisors (1318532296).

1319414144 is an equidigital number, since it uses as much as digits as its factorization.

1319414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36978 (or 36966 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 1319414144 is about 36323.7407765225. The cubic root of 1319414144 is about 1096.7989982475.

The spelling of 1319414144 in words is "one billion, three hundred nineteen million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 281 562 1124 2248 4496 8992 17984 35968 36683 73366 146732 293464 586928 1173856 2347712 4695424 10307923 20615846 41231692 82463384 164926768 329853536 659707072 1319414144