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1380278144 = 2771790617
BaseRepresentation
bin101001001000101…
…0101111110000000
310120012020101122202
41102101111332000
510311322400034
6344544052332
746130112350
oct12221257600
93505211582
101380278144
11649149443
123263040a8
1318cc64b3b
14d145ab60
158129b47e
hex52455f80

1380278144 has 64 divisors (see below), whose sum is σ = 3327492960. Its totient is φ = 556744704.

The previous prime is 1380278101. The next prime is 1380278149. The reversal of 1380278144 is 4418720831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1380278098 and 1380278107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380278149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30077 + ... + 60540.

Almost surely, 21380278144 is an apocalyptic number.

1380278144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1380278144 is an abundant number, since it is smaller than the sum of its proper divisors (1947214816).

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

1380278144 is an equidigital number, since it uses as much as digits as its factorization.

1380278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90655 (or 90643 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1380278144 is about 37152.0947457879. The cubic root of 1380278144 is about 1113.4110754833.

Adding to 1380278144 its reverse (4418720831), we get a palindrome (5798998975).

The spelling of 1380278144 in words is "one billion, three hundred eighty million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 90617 181234 362468 634319 724936 1268638 1449872 1540489 2537276 2899744 3080978 5074552 5799488 6161956 10149104 10783423 11598976 12323912 20298208 21566846 24647824 40596416 43133692 49295648 81192832 86267384 98591296 172534768 197182592 345069536 690139072 1380278144