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1340440144 = 243710920773
BaseRepresentation
bin100111111100101…
…0111111001010000
310110102021102012021
41033321113321100
510221123041034
6341002141224
745134360521
oct11771277120
93412242167
101340440144
1162870957a
12314ab1814
13184926c64
14ca04a848
157ca2c6b4
hex4fe57e50

1340440144 has 40 divisors (see below), whose sum is σ = 2691894920. Its totient is φ = 646092288.

The previous prime is 1340440121. The next prime is 1340440151. The reversal of 1340440144 is 4410440431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 935625744 + 404814400 = 30588^2 + 20120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54142 + ... + 74914.

It is an arithmetic number, because the mean of its divisors is an integer number (67297373).

Almost surely, 21340440144 is an apocalyptic number.

It is an amenable number.

1340440144 is an abundant number, since it is smaller than the sum of its proper divisors (1351454776).

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

1340440144 is a wasteful number, since it uses less digits than its factorization.

1340440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20927 (or 20921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1340440144 is about 36612.0218507528. The cubic root of 1340440144 is about 1102.5944664986.

Adding to 1340440144 its reverse (4410440431), we get a palindrome (5750880575).

The spelling of 1340440144 in words is "one billion, three hundred forty million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 74 109 148 218 296 436 592 872 1744 4033 8066 16132 20773 32264 41546 64528 83092 166184 332368 768601 1537202 2264257 3074404 4528514 6148808 9057028 12297616 18114056 36228112 83777509 167555018 335110036 670220072 1340440144